Quantum discontinuity fixed point and renormalization group flow of the Sachdev-Ye-Kitaev model
- We determine the global renormalization group (RG) flow of the Sachdev-Ye-Kitaev (SYK) model. From a controlled truncation of the infinite hierarchy of the exact functional RG flow equations, we identify several fixed points. Apart from a stable fixed point, associated with the celebrated non-Fermi liquid state of the model, we find another stable fixed point related to an integer-valence state. These stable fixed points are separated by a discontinuity fixed point with one relevant direction, describing a quantum first-order transition. Most notably, the fermionic spectrum continues to be quantum critical even at the discontinuity fixed point. This rules out a description of the transition in terms of a local effective Ising variable as is established for classical transitions. We propose an entangled quantum state at phase coexistence as a possible physical origin of this critical behavior.
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| Author: | Roman SmitORCiD, Davide ValentinisORCiD, Jörg SchmalianORCiDGND, Peter KopietzORCiDGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-632231 |
| DOI: | https://doi.org/10.1103/PhysRevResearch.3.033089 |
| ISSN: | 2643-1564 |
| Parent Title (English): | Physical review research |
| Publisher: | APS |
| Place of publication: | College Park, Md. |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2021/07/23 |
| Date of first Publication: | 2021/07/23 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2022/07/11 |
| Tag: | Condensed Matter, Materials & Applied Physics; Critical phenomena; Exotic phases of matter; First order phase transitions; Functional renormalization group; General Physics; Quantum phase transitions; Renormalization group; Statistical Physics |
| Volume: | 3.2021 |
| Issue: | 3, art. 3089 |
| Article Number: | 3089 |
| Page Number: | 17 |
| First Page: | 1 |
| Last Page: | 17 |
| Note: | This work was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - TRR 288 - 422213477 (project A07). |
| HeBIS-PPN: | 502262885 |
| Institutes: | Physik / Physik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Sammlungen: | Universitätspublikationen |
| Open-Access-Publikationsfonds: | Physik |
| Licence (German): |  Creative Commons - Namensnennung 4.0 |
