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The phase diagram of the square lattice bilayer Hubbard model: a variational Monte Carlo study
- We investigate the phase diagram of the square lattice bilayer Hubbard model at half-filling with the variational Monte Carlo method for both the magnetic and the paramagnetic case as a function of the interlayer hopping and on-site Coulomb repulsion U. With this study we resolve some discrepancies in previous calculations based on the dynamical mean-field theory, and we are able to determine the nature of the phase transitions between metal, Mott insulator and band insulator. In the magnetic case we find only two phases: an antiferromagnetic Mott insulator at small for any value of U and a band insulator at large . At large U values we approach the Heisenberg limit. The paramagnetic phase diagram shows at small a metal to Mott insulator transition at moderate U values and a Mott to band insulator transition at larger U values. We also observe a re-entrant Mott insulator to metal transition and metal to band insulator transition for increasing in the range of . Finally, we discuss the phase diagrams obtained in relation to findings from previous studies based on different many-body approaches.
Author: | Robert RügerORCiD, Luca F. TocchioORCiD, Roser ValentíORCiDGND, Claudius GrosORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-787433 |
DOI: | https://doi.org/10.1088/1367-2630/16/3/033010 |
ISSN: | 1367-2630 |
ArXiv Id: | http://arxiv.org/abs/1311.6504 |
Parent Title (English): | New journal of physics |
Publisher: | IOP Publishing |
Place of publication: | [London] |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2014/03/07 |
Date of first Publication: | 2014/03/07 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2024/02/19 |
Tag: | Hubbard model; Mott insulator; band insulator; bilayer square lattice; variational Monte Carlo |
Volume: | 16 |
Issue: | 033010 |
Article Number: | 033010 |
Page Number: | 16 |
Institutes: | Physik / Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - Namensnennung 3.0 |