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Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study

Yufeng Song, Youjin Deng, Yuan-Yao He

2025Physical review. B./Physical review. B13 citationsDOI

Abstract

The authors present here a comprehensive and numerically unbiased study for finite-temperature properties of the 3D fermionic Hubbard model. At half-filling, a complete temperature-interaction strength phase diagram of the model is established, including the highly accurate results of the N\'eel transition temperature and a multimessenger characterization of the metal-insulator crossover in the paramagnetic phase. The temperature dependence of various thermodynamic quantities and their underlying physics are thoroughly explored. The persistence of N\'eel AFM ordered phase to finite doping is further revealed.

Topics & Concepts

Hubbard modelMonte Carlo methodStatistical physicsPhysicsQuantum Monte CarloMonte Carlo molecular modelingMonte Carlo method in statistical physicsHybrid Monte CarloCondensed matter physicsMarkov chain Monte CarloSuperconductivityMathematicsStatisticsPhysics of Superconductivity and MagnetismQuantum and electron transport phenomenaAdvanced Condensed Matter Physics
Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study | Litcius