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Das Standardmodell der Elementarteilchenphysik beschreibt nach aktuellem Kenntnisstand die Entstehung, den Aufbau und das Verhalten der Materie in unserem Universum am erfolgreichsten. Dennoch gibt es einige Phänomene, die sich nicht in dessen Rahmen beschreiben lassen, wie z. B. die Existenz von dunkler Materie und Energie, nicht-verschwindende Neutrinomassen oder die Baryonenasymmetrie. Speziell im Hinblick auf die starke Wechselwirkung, welche im Standardmodell durch die Quantenchromodynamik (QCD) beschrieben wird, gibt es noch immer viele offene Fragen.
Eine Umgebung, in der man die QCD experimentell ergründen kann, bieten vor allem Schwerionenkollisionen, die insbesondere am Large Hadron Collider (LHC) oder am Relativistic Heavy Ion Collider (RHIC) durchgeführt werden.
In dieser Arbeit soll ein Beitrag von theoretischer Seite aus hinsichtlich eines besseren Verständnisses dieser Schwerionenkollisionen und der zugrundeliegenden QCD erbracht werden. Der Fokus liegt dabei auf dem Isotropisierungsprozess unmittelbar nach der Kollision der beiden Kerne.
Neben etlichen effektiven Theorien, die sehr gute Ergebnisse in den entsprechenden Grenzbereichen liefern, ist die Beschreibung der QCD im Rahmen der Gittereichtheorie (Gitter-QCD) die am meisten etablierte. Diese beinhaltet in den meisten Fällen einen Übergang zur euklidischen Raumzeit, da somit ein Auswerten der hochdimensionalen Pfadintegrale mithilfe von Monte-Carlo-Simulation basierend auf dem sogenannten Importance Sampling ermöglicht wird. Aufgrund der Komplexwertigkeit der euklidischen Zeitkomponente ist man jedoch an das Studieren von statischen Observablen gebunden. Da wir aber gerade an einer Zeitentwicklung des Systems interessiert sind, sehen wir von dem Übergang zur euklidischen Raumzeit ab, was den Namen “real-time” im Titel der Arbeit erklärt.
Wir folgen dem sogenannten Hamilton-Ansatz und leiten damit Feldgleichungen in Form von partiellen Differentialgleichungen her, die wir dann mit den Methoden der Gitter-QCD numerisch lösen. Dabei bedienen wir uns der effektive Theorie des Farb-Glas-Kondensats (CGC, aus dem Englischen: “Color Glass Condensate”), um geeignete Anfangsbedingungen zu erhalten. Genauer gesagt basieren unsere Gitter-Anfangsbedingungen auf dem McLerran-Venugopalan-Modell (MV-Modell), das eine klassische Approximation in niedrigster Ordnung darstellt und nur Beiträge rein gluonischer Felder berücksichtigt.
Die klassische Näherung sowie das Vernachlässigen der fermionischen Felder wird insbesondere mit den hohen Besetzungszahlen der Feldmoden begründet. Einerseits dominieren Infrarot-Effekte, welche klassischer Natur sind, und andererseits ist dadurch der Einfluss der Fermionen, die dem Pauli-Prinzip gehorchen, unterdrückt. Gerade bei letzterer Aussage fehlt es jedoch an numerischen Belegen. Wir erweitern daher die klassische MV-Beschreibung durch stochastische Gitter-Fermionen, um diesem Punkt nachzugehen. Da sich Fermionen nicht klassisch beschreiben lassen, spricht man hierbei oft von einem semi-klassischen Ansatz.
Eines der Hauptziele dieser Arbeit liegt darin, den Isotropisierungsprozess, der bislang noch viele Fragen aufwirft, aber unter anderem Voraussetzung für das Anwenden von hydrodynamischen Modellen ist, zu studieren. Wir legen dabei einen besonderen Fokus auf die systematische Untersuchung der verschiedenen Parameter, die durch die CGC-Anfangsbedingungen in unsere Beschreibung einfließen, und deren Auswirkungen auf etwa die Gesamtenergiedichte des Systems oder die zugehörigen Isotropisierungszeiten. Währenddessen überprüfen wir zudem den Einfluss von unphysikalischen Gitter-Artefakten und präsentieren eine eichinvariante Methode zur Analyse der Güte unserer klassischen Näherung. Die Zeitentwicklung des Systems betrachten wir dabei sowohl in einer statischen Box als auch in einem expandierenden Medium, wobei Letzteres durch sogenannte comoving Koordinaten beschrieben wird. Zudem liefern wir einen Vergleich von der realistischen SU(3)-Eichgruppe und der rechentechnisch ökonomischeren SU(2)-Eichgruppe.
Mit unseren numerischen Ergebnissen zeigen wir, dass das System hochempfindlich auf die verschiedenen Modellparameter reagiert, was das Treffen quantitativer Aussagen in dieser Formulierung deutlich erschwert, insbesondere da einige dieser Parameter rein technischer Natur sind und somit keine zugehörigen physikalisch motivierten Größen, die den Definitionsbereich einschränken könnten, vorhanden sind. Es ist jedoch möglich, die Anzahl der freien Parameter zu reduzieren, indem man ihren Einfluss auf die Gesamtenergie des Systems analysiert und sich diesen zunutze macht. Dadurch gelingt es uns mithilfe von Konturdiagrammen einige Abhängigkeiten zu definieren und somit die Unbestimmtheit des Systems einzuschränken. Des Weiteren finden wir dynamisch generierte Filamentierungen in der Ortsdarstellung der Energiedichte, die ein starkes Indiz für die Präsenz von sogenannten chromo-Weibel-Instabilitäten sind. Unsere Studie des fermionischen Einflusses auf den Isotropisierungsprozess des CGC-Systems weist auf, dass dieser bei kleiner Kopplung vernachlässigbar ist. Bei hinreichend großen Werten für die Kopplungskonstante sehen wir allerdings einen starken Effekt hinsichtlich der Isotropisierungszeiten, was ein bemerkenswertes Resultat ist.
With the discovery of light beyond human visibility, scientists strove to extend the range of observation to invisible parts of the light’s spectrum. Realising that light of all frequencies is part the same physical phenomenon, brought a leap in understanding about electromagnetic waves. With the development of more advanced technology, detectors with higher sensitivity for adjacent frequencies to the visible were built. From this, with each new observable wavelength, more insight into otherwise invisible processes and phenomenons were observed. Hand in hand with this went the enhancement of the output power of corresponding sources. This has lead to higher sensitivity setups throughout the spectrum, leading to observations which have given a deeper understanding in various fields of science. Nowadays, detectors and emitters in many different regions of the invisible electro magnetic spectrum have found their way in our every day life. Innovations in technology has lead to practical applications such as X-rays in medicine, motion sensors and remote controls using infrared light, distance sensors and data transmission using radar and radio devices. The frequency regions above infrared are optically generated and below radar can be produced using electric methods. There is no straight line that separates these frequencies. There rather is a whole intermediate region known as the terahertz (THz) regime. Due to the lack of sensitive detectors and efficient sources, the THz frequency region has not been exploited for application use on a widespread basis so far. It combines properties from the surrounding frequency ranges which make it an ideal spectrum for various applications. Consequently, THz radiation and THz imaging are active fields of research.
The work presented in this thesis consists of the development and testing of novel THz imaging concepts, which uses a THz antenna coupled field effect transistor (TeraFET) detector. Two detection principles are applied using two different optical setups. The first uses a pulsed optical parametric oscillator (OPO) THz source where the optical output power is detected. The source relies on a nonlinear effect of a lithium niobate crystal to generate tunable THz pulses from a Q-switched pump laser. The THz signal is detected and amplified by a double stage operational amplifier for monitoring the real time 20 ns pulses on an oscilloscope where a signal to noise ratio (SNR) of ⇠ 25 at a frequency range from 0.75 to 1.1 THz is reached. Imaging of the area of interest with a resolution of 1.2 mm is achieved through raster scanning of the THz pulses. Also spectroscopy with a frequency resolution of ⇠ 50 GHz is demonstrated using a para-aminobenzoic acid sample. The second setup utilises two synchronised electronic multiplier chain sources where their output is mixed on the detector. To form a heterodyne detection setup, the intermediate frequency is fed to a lock-in amplifier which then amplifies the so called beat signal from the TeraFET detector. One source is fixed relative to the detector even through scanning to ensure a stable signal. This detection method allows for amplitude and phase detection for every scanning position, making numerical light field propagation and object reconstruction possible. Numerical focussing is a key feature achieving a lateral resolution of the input transmittance of ⇡ 2 mm.
After the introduction, the second chapter describes the setup, measurement results and challenges which arise using a TeraFET together with the pulsed THz source “Firefly-THz”. In the description of the setup, special attention is given to the shielding of the detector and the electronics. General findings discuss first the overall performance and later spectroscopy and imaging as application examples. Another subsection continues with potential noise sources before the chapter is concluded. Chapter three expands on the topic of Fourier optics from a theoretical point of view. First, parts of the theory of the Fourier Transform (FT) are set out for the reader and how the Fast Fourier Transform (FFT) results from the Discrete Fourier Transform (DFT). This approach is used for theoretical considerations and the implementation of a Fourier optic script that allows for numerical investigations on electro magnetic field propagation through an optical system. The boundary conditions are chosen to be practical relevant to make predictions on measurements presented in chapter four. The following fourth chapter describes the realisation of a heterodyne THz detection setup. Before the measurement results are presented, the setup and its electric configuration are shown. The results come close to the analytical predictions so that the same algorithm which propagates the field from an object to the Fourier plane is used to propagate the measured field back to the object. The influence of phase noise on the measurement results are discussed before simulation and measurement is compared. The last chapter in this thesis concludes on the findings in the pulsed THz detection and the heterodyne THz Fourier imaging and gives an outlook for both configurations.
Most of the elements in the universe are produced via charged-particle fusion reactions during the primordial nucleosynthesis and different stellar burning stages, as well as via neutron-capture reactions. Around 35 heavy, proton-rich isotopes are bypassed by those reaction paths, the p nuclei. A series of photo-disintegration reactions occurring in supernovae, called the γ process, was suggested as a mechanisms to produce the p nuclei. Numerical simulations of the γ process have been unable to reproduce the observed abundances of the light p isotopes. Recent models showed that a series of proton capture reactions could provide the observed abundances. Hence, the cross sections of the crucial capture reactions have to be measured in order to test those assumptions.
Radiative proton captures in addition to the γ-process could reproduce the observed abundance pattern. This thesis presents preparations of a proton capture measurement on the radioactive 91Nb in standard kinematics with a calorimetric 4π setup. The 91Nb(p,γ)92Mo reaction might be the key to explain the production of one of the most abundant p-nuclei, 92Mo. So far, no experimental data for this reaction is available.
We produced a sample of 91Nb, with a half-life of 680 yr, at the Physikalisch Technische Bundesanstalt in Braunschweig, Germany, by irradiating 92Mo with protons in the energy range of 12 – 20MeV. 91Nb was produced via the reaction 92Mo(p,2p)91Nb and via 92Mo(p,pn)91Mo, where 91Mo decays to 91Nb with a half-life of 15.5min. To predict the amount of produced 91Nb the cross section of 92Mo(p, 2p) was measured. It was found to be higher than the value given by theoretical calculations with TALYS. Finally, 91Nb was chemically separated from the molybdenum carried at Paul-Scherrer- Institut, Villigen, Switzerland.
In-beam total absorption cross-section measurement of the reaction 91Nb(p,γ)92Mo with 2 MeV protons at FRANZ is planed with the produced 91Nb. A 4π BaF2 detector consisting of 41 crystals will be used. During this experiment we will measure the sum energy and the multiplicity of each event. The freshly produced 91Nb constitutes only a minor component of the sample material. The sum energy and multiplicity are crucial to distinguish the desired 91Nb(p,γ) from all the other more dominant reactions. The expected multiplicity and the efficiency of the setup were carefully simulated with DICEBOX and GEANT4. It was possible to show that background reactions can be effectively suppressed. The most important background contributions could be identified and result from 92Mo(p,γ), 19F(p,γ), and 19F(p,α).
Particle physics is living it’s golden age: petabytes of high precision data are being recorded at experimental facilities such as the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). Despite the significant theoretical progress achieved in the last years the complete understanding of the internal structure of protons, not computable with perturbative QCD, remains as one of the most challenging unsolved problems in the physics of elementary interactions. Besides its fundamental interest, pinning down the relevant degrees of freedom and their properties, such as their spatial distribution, has profound implications in several phenomenological aspects of high-energy collisions. Currently one of the subjects undergoing intense study is the possibility that droplets of quark-gluon plasma (QGP) are being created not only in heavy ion collisions but in more dilute systems such as high-multiplicity proton-proton interactions. This is a data driven debate as it is rooted in the similar patterns observed across the different collision systems at the LHC (p+p,p+Pb and Pb+Pb) in the flow harmonic analyses: one of the golden probes of QGP formation specially sensitive to the initial collision geometry. Another domain in which the proton structure plays a central role is the description of multi-parton interactions, the mechanism that dominates the underlying event at LHC energies, in Monte Carlo event generators. All in all a precise characterization of the hadronic structure is a crucial ingredient of the physics program of the LHC.
A full characterization of a hadron would require momentum, spatial and spin information, the so-called Wigner distribution. So far obtaining this information experimentally has not been achieved. From a theoretical point of view several complications arise such as non-universality and breaking of factorization theorems. Then, in general, the description of the hadron structure relies on phenomenological tools that require theoretical modeling constrained by experimental data. The main goal of this thesis to characterize the transverse structure of the proton. For that purpose, a wide variety of phenomenological problems that are sensitive to the proton structure have been addressed.
First, elastic scattering data on proton-proton interactions constitutes a powerful probe of the geometry of the collision. A dedicated analysis of this observable focusing on the extraction of the inelasticity density from it at √s=62.5 GeV and √s=7 TeV is presented. In the TeV regime, a unexpected phenomenon, dubbed the hollowness effect, arises: the inelasticity density, a measurement of how effective is the collision producing secondary particles, reaches its maximum at non-zero impact parameter. We provide the first dynamical explanation of the hollowness effect by constructing the elastic scattering amplitude in impact parameter representation according to the Glauber model. For that purpose we relied on a composite description of the proton. More concretely, the relevant degrees of freedom that participate in the scattering process were considered to be gluonic hot spots. The probability distribution for the transverse positions of hot spots inside the proton includes repulsive short-range correlations between all pairs of hot spots controlled by an effective repulsive core rc that effectively enlarges the mean transverse separation distance between them. The main results extracted from this work are as follows. To begin with, we found that our model was not able to describe a growing behavior of the inelasticity density at zero impact parameter in the absence of non-trivial spatial correlations. However, even in the presence of correlations, the emergence of the hollowness effect couldn’t be described when the number of hot spots was smaller than 3. Both features set solid constraints in the proton structure within our model. Finally, we pinpoint the transverse diffusion of the hot spots with increasing collision energy to be the dynamical mechanism underlying the onset of the hollowness effect.
A convenient playground to test further implications of this novel geometric description of the proton are the initial state properties of high energy proton-proton interactions in the context of QGP physics. The parametrization of the geometry of the collision is mandatory in any theoretical model attempting to describe the striking experimental results that suggest collective behavior in proton-proton interactions at the LHC, such as the non-zero value of the flow harmonic coefficients (vn). A quantitative way to characterize the initial geometry anisotropy of the overlap region is to compute the spatial eccentricity moments (εn) that fluctuate on an event by event basis. For that purpose we develop a Monte Carlo Glauber event generator. A systematic investigation of the effect of non-trivial spatial correlations in the spatial eccentricity moments from ISR to LHC energies within our Monte Carlo Glauber approach is presented. We found that both the eccentricity (ε2) and the triangularity (ε3) are affected by the inclusion of short-range repulsive correlations. In particular, the correlated scenario yielded larger values of ε2(3) in ultra-central collisions while reducing them in minimum bias.
Moreover, we explore not only the eccentricities mean but their fluctuations in terms of symmetric cumulants. The experimental measurement by the CMS Collaboration at √s=13 TeV indicates a anti-correlation of v2 and v3 around the same number of tracks in the three collision systems available at the LHC. We lay out, for the first time in the literature, a particular mechanism that permits an anti-correlation of ε2 and ε3 in the highest centrality bins as dictated by data. When modeling the proton as composed by 3 gluonic hot spots, the most common assumption in the literature, we find that the inclusion of spatial correlations is indispensable to reproduce the negative sign. Further, we perform a systematic investigation of the parameter space of the model i.e. radius of the hot spot, radius of the proton, repulsive core and number of hot spots in each proton. Our results suggest that the interplay of the different scales is decisive and confirm the discriminating power of this observable on initial state models. Together with their drastic impact on the description of the hollowness effect and the absolute values of the eccentricities, the symmetric cumulant study adds evidence to the fact that the inclusion of spatial correlations between the sub nucleonic degrees of freedom of the proton modifies the initial state properties of p+p interactions at LHC energies.
This thesis presents the first measurement of the proton capture reaction on the isotope 124Xe performed in inverse kinematics. The experiment was carried out in June 2016 at the Experimental Storage Ring (ESR) at the GSI Helmholtz Centre for Heavy Ion Research in Darmstadt, Germany.
124Xe is one of about 35 p-nuclei that cannot be produced via neutron-induced nucleo- synthesis as the vast majority of heavy elements. Its production and destruction provide important information about the nucleosynthesis of the p-nuclei. Measuring the 124Xe(p,g)125Cs reaction also gives strong constraints for its reverse 125Cs(g,p)124Xe reaction.
Fully stripped 124Xe ions repeatedly passed a H2 gas jet target at five different energies between 5.5 MeV/u and 8 MeV/u. An electron cooler compensated for the energy loss in the target and reduced the beam momentum spread. The reaction product 125Cs55+ has a smaller magnetic rigidity than 124Xe54+. Therefore 125Cs55+ was deflected towards smaller radii in the first dipole after the target area and thereby separated from 124Xe54+. It was detected with a position-sensitive Double-Sided Silicon Strip Detector (DSSSD). The novelty of this experiment was the installation of the DSSSD inside the ultra-high vacuum of the storage ring using a newly designed manipulator.
Three High-Purity Germanium X-ray detectors were used to measure the X-rays following the Radiative Electron Capture (REC) events into 124Xe53+. The REC cross sections are well-known and were used to determine the luminosity.
The 124Xe(p,g)125Cs cross sections at ion beam energies between 5.5 MeV/u and 8 MeV/u were determined relatively to the K-REC cross sections and finally compared to the theoretically predicted cross sections. While theoretical predictions of the TENDL database are lower than the measured ones by a factor of up to seven, the NON-SMOKER data are higher by a factor of up to two, except of the cross section at 7 MeV/u, where NON-SMOKER data are slightly lower than the experimental value.
For the first time, a proton capture cross section could be measured in inverse kinematics close to the astrophysically relevant Gamow window. This allows the direct determination of the (p,g) cross section of isotopes with half-lives down to several minutes, which is not possible with any other technique.
The production cross section and the transverse momentum distribution of charged particles is measured in pp collisions at √s = 2.76 TeV, 5.02 TeV, 7 TeV and 13 TeV, as well as for Pb-Pb collision at √s_NN = 5.02 TeV and Xe-Xe at √s_NN = 5.44 TeV in ALICE at the LHC. The measurement is performed in the transverse momentum region of 0.15 < p_T < 50 GeV/c and in the pseudorapidity range of |η| < 0.8. The precision of the measurement has been substantially enhanced as a result of the improved corrections, by taking into account a more realistic particle composition in the MC simulations. As a result, the systematic uncertainties have been reduced by more than a factor two in all systems and energies.
The average transverse momentum <p_T> results show a faster-than-linear increase with the center-of-mass energy and follow a similar trend with respect to previous measurements. The analysis of the p_T spectra in multiplicity intervals show a weak center-of-mass energy dependence when they are compared to their respective inelastic (INEL) pp measurement. The average multiplicity as a function of the collision energy shows a quadratic trend, and the comparison with other ALICE multiplicity measurements exhibits a remarkable agreement, within uncertainties.
The transverse momentum spectra in pp collisions are compared to state-of-the-art MC simulations, EPOS LHC and PYTHIA 8 event generators; none of them is able to reproduce the distributions over the full p_T range.
The differential cross section in pp collisions is an essential observable for the study of the Quark Gluon Plasma (QGP) created in ultra-relativistic heavy-ion collisions. The absence of a medium formation in pp collisions serves as an essential baseline for studies of particle production and suppression due to parton energy-loss in the QGP. Since pp collisions at √s = 5.44 TeV were not measured by ALICE, the pp reference at this energy was constructed by using a power law interpolation between the s = 5.02 TeV and 7 TeV data. The pp results are compared to the particle production in Pb-Pb collisions at √s_NN = 5.02 TeV and Xe-Xe collisions at √s_NN = 5.44 TeV.
The nuclear modification factor R_AA for Pb-Pb and Xe-Xe collisions was calculated and a strong suppression of high-p_T particles is observed in central collisions. The R AA in different systems allows for a differential study of the parton energy loss in the QGP. The comparison of the R AA in multiplicity intervals between the two systems provide insights into the path length dependence of a parton that propagates in the medium.
The mission of the Compressed Baryonic Matter (CBM) experiment is to investigate the phase diagram of strongly interacting matter in the region of high net-baryon densities and moderate temperatures. According to various transport models, matter densities of more than 5 times saturation density can be reached in collisions between gold nuclei at beam energies between 5 and 11 GeV per nucleon, which will be available at FAIR. The core detector of the CBM experiment is the Silicon Tracking System (STS), which is used to measure the tracks of up to 700 particles per collision with high efficiency (>95%) and good momentum resolution (<1.5%). The technological and experimental challenge is to realize a detector system with very low material budget, in order to reduce multiple scattering of the particles, and a free-streaming data readout chain, in order to achieve reaction rates up to 10 MHz together with an online event reconstruction and selection.
The STS comprises 8 tracking stations positioned between 30 cm and 100 cm downstream the target inside a magnetic field, covering polar emission angles up to 25 degrees. A station consists of vertical structures with increasing number (between 8 and 16, depending on station number), each structure carrying between 2 and 10 double-sided microstrip silicon sensors, which are connected through low-mass microcables to the readout electronics placed at the detector periphery outside the active detector area.
The work presented in this thesis focuses on the detector performance simulation and local hit pattern reconstruction in the STS. For efficient detector design and reconstruction performance, a reliable detector response model is of utmost importance. Within this work, a realistic detector response model was designed and implemented in the CBM software framework. The model includes non-uniform energy loss of an incident particle within a sensor, electric field of a planar p-n junction, Lorentz shift of the charge carriers, their diffusion, and the influence of parasitic capacitances. The developed model has been verified with experimental data from detector tests in a relativistic proton beam. Cluster size distributions at different beam incident angles are sensitive to charge sharing effects and were chosen as an observable for the verification. Taking into account parasitic capacitances further improves the agreement with measured data.
Using the developed detector response model, the cluster position finding algorithm was improved. For two-strip clusters, a new, unbiased algorithm has been developed, which gives smaller residuals than the Centre-Of-Gravity algorithm. For larger clusters, the head-tail algorithm is used as the default one. For an estimate of the track parameters, the Kalman Filter based track fit requires not only hit positions but their uncertainties as an input. A new analytic method to estimate the hit position errors has been designed in this work. It requires as input neither measured spatial resolution nor information about an incident particle track. The method includes all the sources of uncertainties independently, namely: the cluster position finding algorithm itself, the non-uniform energy loss of incident particles, the electronics noise, and the discretisation of charge in the readout chip.
The verification with simulations shows improvements in hit and track pull distributions as well as x²-distributions in comparison to the previous simple approach. The analytic method improves the track parameters reconstruction by 5-10%.
Several STS module prototypes have been tested in a relativistic proton beam. A signal to-noise ratio was obtained at the level of 10-15 for modules made of 30 cm long microcable and of either one or two 6.2 x 6.2 cm² CiS sensors.
First simulations have shown that this signal-to-noise ratio is sufficient to reach the required efficiency and momentum resolution. The high-radiation environment of CBM operation will deteriorate the sensor performance. Radiation hardness of sensors has been studied in the beam with sensors irradiated to 2 x 10[hoch 14] 1MeV [neq/cm²], twice the lifetime dose expected for CBM operation. Charge collection efficiency drops by 17-25%, and simultaneously noise levels increase 1.5-1.75 times. The simulations show that if all sensors in the STS setup are exposed to such a fluence uniformly, the track reconstruction efficiency drops from 95.5% to 93.2% and the momentum resolution degrades from 1.6% to 1.7%.
This thesis is concerned with systematic investigations of electronic noise in novel condensed matter systems. Although fluctuations are frequently considered a nuisance, that is, a disturbance limiting the accuracy of scientific measurements, in many cases they can reveal fundamental information about the inherent system dynamics. During the past decades, the study of electronic fluctuations has evolved into an indispensable tool in condensed matter physics.
The focus of the present work lies both in a further development of the fluctuation spectroscopy technique and in the study of materials of current interest. In particular, a comprehensive study of the charge carrier dynamics in the archetypal diluted magnetic semiconductors (Ga,Mn)As and (Ga,Mn)P was performed. In spite of extensive research work carried out during the last years, there still exists no theoretical consensus on the precise mechanism of ferromagnetic order and the electronic structure in these materials. Moreover, disorder and correlation effects complicate the understanding of these compounds.
Fluctuation spectroscopy experiments presented in this work provide strong evidence that a percolation transition is observed in samples with localized charge carriers, since the normalized resistance noise magnitude displays a significant enhancement around the Curie temperature. In addition, this quantity exhibits a power law scaling behavior as a function of the resistance, which is in good agreement with theoretical models of percolating systems.
By contrast, it was found that the resistance noise in metallic samples is mainly dominated by the physics of defects such as manganese interstitials and arsenic antisites. Furthermore, first noise studies were carried out on hafnia- and yttria-based resistive random access memories. In these memristor devices, the rupture and re-formation of oxygen deficient conducting filaments caused by the electric field and Joule heating driven motion of mobile anions lead to an unusual resistance switching behavior. For the first time, comparative noise measurements on oxygen deficient and stoichiometric hafnium oxide devices, as well as on novel yttrium oxide based devices were performed in this work. Finally, new strategies for noise measurements of highly insulating and extremely low-resistive samples were developed and realized. In detail, an experimental setup for the measurements of dielectric polarization fluctuations in insulating systems was designed and successfully tested. Here, the polarization noise of a sample is measured as current or voltage fluctuations produced within a capacitance cell. The study of dielectric polarization noise allows for conclusions to be drawn regarding equilibrium structural dynamics in insulators such as relaxor ferroelectrics. On the other hand, as successfully demonstrated for a heavy-fermion compound, focused ion beam etching enables to introduce a meander-shaped geometry in single crystal platelets, in order to strongly enhance the sample resistance and thus make resistance noise measurements possible. First results indicate a connection of the noise properties with the Kondo effect in the investigated material.
Crystal growth and characterization of cerium- and ytterbium-based quantum critical materials
(2018)
In der Festkörperphysik werden heutzutage Themen wie Supraleitung, Magnetismus und Quantenkritikalität sowohl von experimenteller als auch von theoretischer Seite stark untersucht. Quantenkritikalität und Quantenphasenübergänge können in Systemen erforscht werden, für welche ein Kontroll Parameter existiert, durch den z.B. eine magnetische Ordnung soweit unterdrückt wird, bis der Phasenübergang bei Null Kelvin, bei einem quantenkritischen Punkt (QCP), stattfindet. Vorzugsweise wird quantenkritisches Verhalten an Einkristallen untersucht, da diese in sehr reiner Qualität gezüchtet werden können und da deren gemessenen physikalischen Eigenschaften ausschließlich intrinsisch sind und nicht durch Verunreinigungseffekte überlagert werden. Der Schwerpunkt dieser Arbeit lag auf der Züchtung von Einkristallen und der Charakterisierung von Materialien, die quantenkritische Phänomene aufweisen. Als Ausgangsstoffe dienten dabei Elemente höchstmöglicher Reinheit. Es wurden die Serie YbNi4(P1-xAsx)2 mit einem ferromagnetischen QCP bei x=0,1, die Verbindung YbRh2Si2 mit einem feldinduzierten QCP bei Bcrit = 60mT und die Serie Ce(Ru1-xFex)PO mit einem QCP bei x = 0,86 untersucht. Für alle Verbindungen wurde das Züchtungsverfahren entwickelt, dann wurden Einkristalle gezüchtet und charakterisiert. Die Züchtung wurde zum einen mittels der Bridgman-Methode, zum anderen mit der Czochralski Methode durchgeführt. Neben struktureller und chemischer Charakterisierung der Einkristalle mittels Röntgen-Pulverdiffraktometrie, Laue-Methode und Energie-dispersiver Röntgen-Spektroskopie, wurden auch deren spezifische Wärme, elektrischer Widerstand und Magnetisierung im Temperaturbereich 1,8 – 300 K untersucht. Im weiteren Verlauf wurden die Kristalle in verschiedenen Kooperationen untersucht und bis in den Tieftemperatur- Bereich (20 mK), bei YbRh2Si2 bis in den Submillikelvin-Bereich, charakterisiert. Ausserdem wurden im Rahmen dieser Dissertation Einkristalle weiterer antiferromagnetischer Verbindungen SmRh2Si2, GdRh2Si2, GdIr2Si2, HoRh2Si2 und HoIr2Si2 gezüchtet. Bei diesen Verbindungen stand die Untersuchung elektronischer Oberflächenzustände mittels winkelaufgelöster Photoemissionsspektroskopie im Vordergrund.