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Determinant Quantum Monte Carlo (DQMC) provides numerically exact solutions for strongly correlated fermionic systems but faces significant computational challenges with increasing system size. While submatrix updates were originally…

强关联电子 · 物理学 2025-02-19 Fanjie Sun , Xiao Yan Xu

The dual-fermion approach provides a formally exact prescription for calculating properties of a correlated electron system in terms of a diagrammatic expansion around dynamical mean-field theory (DMFT). Most practical implementations,…

强关联电子 · 物理学 2017-08-02 Jan Gukelberger , Evgeny Kozik , Hartmut Hafermann

In the absence of a fermion sign problem, auxiliary field (or determinantal) quantum Monte Carlo (DQMC) approaches have long been the numerical method of choice for unbiased, large-scale simulations of interacting many-fermion systems. More…

强关联电子 · 物理学 2016-12-22 Peter Broecker , Simon Trebst

The phase diagram of cuprate high-temperature superconductors is investigated on the basis of the three-band d-p model. We use the optimization variational Monte Carlo method, where improved many-body wave functions have been proposed to…

强关联电子 · 物理学 2021-05-17 Takashi Yanagisawa , Mitake Miyazaki , Kunihiko Yamaji

The Kondo and Periodic Anderson Model (PAM) are known to provide a microscopic picture of many of the fundamental properties of heavy fermion materials and, more generally, a variety of strong correlation phenomena in $4f$ and $5f$ systems.…

强关联电子 · 物理学 2019-05-10 N. C. Costa , T. Mendes-Santos , T. Paiva , N. J. Curro , R. R. dos Santos , R. T. Scalettar

In this work we investigate the ground state and the dissipative quantum dynamics of interacting charged particles in an external potential at finite temperature. The recently devised time-dependent quantum Monte Carlo (TDQMC) method allows…

量子物理 · 物理学 2025-01-29 Ivan P. Christov

We introduce a numerical algorithm to stochastically sample the dual fermion perturbation series around the dynamical mean field theory, generating all topologies of two-particle interaction vertices. We show results in the weak and strong…

强关联电子 · 物理学 2016-07-07 Sergei Iskakov , Andrey E. Antipov , Emanuel Gull

We demonstrate the applicability of a recently proposed multiscale thermalization algorithm to two-color quantum chromodynamics (QCD) with two mass-degenerate fermion flavors. The algorithm involves refining an ensemble of gauge…

高能物理 - 格点 · 物理学 2016-12-06 William Detmold , Michael G. Endres

Determinant quantum Monte Carlo (DQMC) is a widely used unbiased numerical method for simulating strongly correlated electron systems. However, the update process in DQMC is often a bottleneck for its efficiency. To address this issue, we…

强关联电子 · 物理学 2025-06-06 Fanjie Sun , Xiao Yan Xu

We study the pseudogap Bose-Fermi Anderson model with a continuous-time quantum Monte Carlo (CT-QMC) method. We discuss some delicate aspects of the transformation from this model to the Bose-Fermi Kondo model. We show that the CT-QMC…

强关联电子 · 物理学 2015-05-20 J. H. Pixley , Stefan Kirchner , M. T. Glossop , Qimiao Si

Diagrammatic Monte Carlo (DiagMC) is a numeric technique that allows one to calculate quantities specified in terms of diagrammatic expansions, the latter being a standard tool of many-body quantum statistics. The sign problem that is…

统计力学 · 物理学 2019-10-18 Kris Van Houcke , Evgeny Kozik , Nikolay Prokof'ev , Boris Svistunov

The recently developed density matrix quantum Monte Carlo (DMQMC) algorithm stochastically samples the N -body thermal density matrix and hence provides access to exact properties of many-particle quantum systems at arbitrary temperatures.…

强关联电子 · 物理学 2015-10-15 Fionn D. Malone , N. S. Blunt , James J. Shepherd , D. K. K. Lee , J. S. Spencer , W. M. C. Foulkes

We show that Monte Carlo sampling of the Feynman diagrammatic series (DiagMC) can be used for tackling hard fermionic quantum many-body problems in the thermodynamic limit by presenting accurate results for the repulsive Hubbard model in…

强关联电子 · 物理学 2015-05-13 E. Kozik , K. Van Houcke , E. Gull , L. Pollet , N. Prokof'ev , B. Svistunov , M. Troyer

We use the determinant Quantum Monte Carlo method (DQMC) to study the interaction-driven semimetal to antiferromagnetic insulator transition in a $\pi$-flux Hamiltonian with modulated hoppings, a model which has two species of Dirac…

强关联电子 · 物理学 2018-07-04 H. -M. Guo , Lei Wang , R. T. Scalettar

Determinant Quantum Monte Carlo (DQMC) is used to study the effect of non-zero hopping t_f in the localized f-band of the periodic Anderson model (PAM) in two dimensions. The low temperature properties are determined in the plane of…

强关联电子 · 物理学 2015-07-03 Axel Euverte , Simone Chiesa , Richard T. Scalettar , George G. Batrouni

Determinant Quantum Monte Carlo (DQMC) is used to determine the pairing and magnetic response for a Hubbard model built up from four-site clusters -a two-dimensional square lattice consisting of elemental 2x2 plaquettes with hopping $t$ and…

强关联电子 · 物理学 2014-08-19 T. Ying , R. Mondaini , X. D. Sun , T. Paiva , R. M. Fye , R. T. Scalettar

Motivated by potential realizations in cold-atom or cold-molecule systems, we have performed quantum Monte Carlo simulations of two-component gases of fermions in two dimensions with hard-core interactions. We have determined the gross…

量子气体 · 物理学 2011-05-19 N. D. Drummond , N. R. Cooper , R. J. Needs , G. V. Shlyapnikov

Cluster Perturbation Theory (CPT) is a technique for computing the spectral function of fermionic models with local interactions. By combining the solution of the model on a finite cluster with perturbation theory on intra-cluster hoppings,…

强关联电子 · 物理学 2021-07-26 Edwin W. Huang , Yao Wang

In this paper we apply the time-dependent quantum Monte Carlo (TDQMC) method to explore a midified single- and double-slit diffraction of matter waves. By using a simplified model of two electrons prepared in the ground state of an atom…

量子物理 · 物理学 2025-02-07 Ivan P. Christov

Quantum Monte Carlo (QMC) methods represent a powerful family of computational techniques for tackling complex quantum many-body problems and performing calculations of stationary state properties. QMC is among the most accurate and…

材料科学 · 物理学 2025-01-08 Alfonso Annarelli , Dario Alfè , Andrea Zen
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