Thermodynamics of correlated electrons in a magnetic field

The Hofstadter–Hubbard model captures the physics of strongly correlated electrons in an applied magnetic field, which is relevant to many recent experiments on Moiré materials. Few large-scale, numerically exact simulations exists for this model. In this work, we simulate the Hubbard–Hofstadter mod...

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Bibliographic Details
Published in:Communications physics 2022-08, Vol.5 (1), p.1-7, Article 204
Main Authors: Ding, Jixun K., Wang, Wen O., Moritz, Brian, Schattner, Yoni, Huang, Edwin W., Devereaux, Thomas P.
Format: Article
Language:English
Subjects:
639/766/119
639/766/119/995
Algorithms
Banded structure
Compressibility
Computer simulation
condensed matter physics
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Couplings
electronic materials
electronic properties
Electrons
Fermions
Magnetic fields
Magnetic structure
Phase diagrams
Physics
Physics and Astronomy
Structure factor
Thermodynamic properties
Thermodynamics
Two dimensional models
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Summary:The Hofstadter–Hubbard model captures the physics of strongly correlated electrons in an applied magnetic field, which is relevant to many recent experiments on Moiré materials. Few large-scale, numerically exact simulations exists for this model. In this work, we simulate the Hubbard–Hofstadter model using the determinant quantum Monte Carlo (DQMC) algorithm. We report the field and Hubbard interaction strength dependence of charge compressibility, fermion sign, local moment, magnetic structure factor, and specific heat. The gross structure of magnetic Bloch bands and band gaps determined by the non-interacting Hofstadter spectrum is preserved in the presence of U . Incompressible regions of the phase diagram have improved fermion sign. At half filling and intermediate and larger couplings, a strong orbital magnetic field delocalizes electrons and reduces the effect of Hubbard U on thermodynamic properties of the system. The Hofstadter–Hubbard model on 2D square lattices is a paradigmatic model to study the interplay of electron correlations and external magnetic field. The authors use quantum Monte Carlo to study the thermodynamic properties of the Hofstadter Hamiltonian at intermediate to strong coupling, finding that a strong orbital magnetic field delocalizes electrons and reduces the effective Hubbard interaction.
ISSN:2399-3650
2399-3650
DOI:10.1038/s42005-022-00968-2