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Using the determinant quantum Monte Carlo method, we investigate the metal-insulator transitions induced by the stripe of charge density in an interacting two-dimensional Dirac fermion system. The stripe will introduce the transport…

强关联电子 · 物理学 2022-12-28 Jingyao Meng , Runyu Ma , Lufeng Zhang , Tianxing Ma

We study transport properties of the half-filled two-dimensional (2D) Hubbard model with spatially varying interactions, where a pattern of interacting and non-interacting sites is formed. We use Determinantal Quantum Monte Carlo method to…

强关联电子 · 物理学 2014-08-15 Rubem Mondaini , Thereza Paiva

We study the magnetic ordering transition for a system of harmonically trapped ultracold fermions with repulsive interactions in a cubic optical lattice, within a real-space extension of dynamical mean-field theory (DMFT). Using a quantum…

量子气体 · 物理学 2010-09-20 E. V. Gorelik , I. Titvinidze , W. Hofstetter , M. Snoek , N. Blümer

Tight binding electrons on a honeycomb lattice are described by an effective Dirac theory at low energies. Lowering symmetry by an alternate ionic potential ($\Delta$) generates a single-particle gap in the spectrum. We employ the dynamical…

强关联电子 · 物理学 2012-05-30 M. Ebrahimkhas , S. A. Jafari

In this paper the phase diagram of Dirac semimetals is studied within lattice Monte-Carlo simulation. In particular, we concentrate on the dynamical chiral symmetry breaking which results in semimetal/insulator transition. Using numerical…

强关联电子 · 物理学 2016-12-07 V. V. Braguta , M. I. Katsnelson , A. Yu. Kotov , A. A. Nikolaev

The effect of electron-phonon coupling (EPC) on Dirac fermions has recently been explored numerically on a honeycomb lattice, leading to precise quantitative values for the finite temperature and quantum critical points. In this paper, we…

强关联电子 · 物理学 2020-05-28 Yuxi Zhang , Huaiming Guo , Richard T. Scalettar

Quantum phase transitions from the cluster-charge interaction, which is composed of competing short- and long-range interactions, are investigated on a $\pi$-flux lattice by using the mean-field theory and determinant quantum Monte Carlo…

强关联电子 · 物理学 2022-08-17 Xingchuan Zhu , Yiqun Huang , Huaiming Guo , Shiping Feng

Cold atom systems provide a rich platform to realize strongly interacting condensed matter systems, and recent progress in fluorescence imaging technique has enabled identification of nontrivial doublon, singlon, and holon correlation…

强关联电子 · 物理学 2024-10-03 Sayantan Roy , Sameed Pervaiz , Thereza Paiva , Nandini Trivedi

Quantum critical phenomena may be qualitatively different when massless Dirac fermions are present at criticality. Using our recently-discovered fermion-sign-free Majorana quantum Monte Carlo (MQMC) method introduced by us in Ref. [1], we…

强关联电子 · 物理学 2015-08-11 Zi-Xiang Li , Yi-Fan Jiang , Hong Yao

The interplay between quantum and thermal fluctuations can induce rich phenomena at finite temperatures in strongly correlated fermion systems. Here we report a {\it numerically exact} auxiliary-field quantum Monte Carlo (AFQMC) study for…

强关联电子 · 物理学 2025-01-23 Yu-Feng Song , Youjin Deng , Yuan-Yao He

We investigate the two-dimensional cooperon-fermion model in the correlated regime with a new continuous-time diagrammatic determinant quantum Monte Carlo (DDQMC) algorithm. We estimate the transition temperature $T_{c}$, examine the…

超导电性 · 物理学 2015-03-19 Kai-Yu Yang , E. Kozik , Xin Wang , M. Troyer

We provide a unified, comprehensive treatment of all operators that contribute to the anti-ferromagnetic, ferromagnetic, and charge-density-wave structure factors and order parameters of the hexagonal Hubbard Model. We use the Hybrid Monte…

强关联电子 · 物理学 2021-11-01 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

We study the superfluid properties of attractively interacting fermions hopping in a family of 2D and 3D lattices in the presence of synthetic gauge fields having \pi-flux per plaquette. The reason for such a choice is that the \pi-flux…

强关联电子 · 物理学 2013-07-31 Gabriel Mazzucchi , Luca Lepori , Andrea Trombettoni

We investigate a semimetal-superconductor phase transition of two-dimensional Dirac electrons at zero temperature by large-scale and essentially unbiased quantum Monte Carlo simulations for the half-filled attractive Hubbard model on the…

强关联电子 · 物理学 2018-07-20 Yuichi Otsuka , Kazuhiro Seki , Sandro Sorella , Seiji Yunoki

We study the one-band Hubbard model on the honeycomb lattice using a combination of quantum Monte Carlo (QMC) simulations and static as well as dynamical mean-field theory (DMFT). This model is known to show a quantum phase transition…

Several studies have emphasized the impact of long-range Coulomb interactions in lattice fermions, yet conventional Auxiliary Field Quantum Monte Carlo (QMC) methods face limitations due to their reliance on positive definite interaction…

强关联电子 · 物理学 2024-12-09 Mohammad-Sadegh Vaezi , Davoud Nasr Esfahani

We develop a strong-coupling perturbation scheme for a generic Hubbard model around a half-filled particle-hole-symmetric reference system, which is free from the fermionic sign problem. The approach is based on the lattice determinantal…

强关联电子 · 物理学 2026-05-15 Sergei Iskakov , Mikhail I. Katsnelson , Alexander I. Lichtenstein

We investigate two-dimensional Dirac fermions embedded in a deep-subwavelength cavity formed by high-impedance metasurfaces. We point out that, unlike conventional metallic boundaries, these metasurfaces support quasielectrostatic…

强关联电子 · 物理学 2026-05-21 Yuxuan Guo , Yuto Ashida

We study a lattice model of interacting Dirac fermions in $(2+1)$ dimension space-time with an SU(4) symmetry. While increasing interaction strength, this model undergoes a {\it continuous} quantum phase transition from the weakly…

强关联电子 · 物理学 2016-12-28 Yuan-Yao He , Han-Qing Wu , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

We employ dynamical mean field theory (DMFT) with a Quantum Monte Carlo (QMC) atomic solver to investigate the finite temperature Mott transition in the Hubbard model with the nearest neighbor hopping on a triangular lattice at…

强关联电子 · 物理学 2009-11-11 K. Aryanpour , W. E. Pickett , R. T. Scalettar