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We report large scale determinant Quantum Monte Carlo calculations of the effective bandwidth, momentum distribution, and magnetic correlations of the square lattice fermion Hubbard Hamiltonian at half-filling. The sharp Fermi surface of…

强关联电子 · 物理学 2010-04-07 C. N. Varney , C. -R. Lee , Z. J. Bai , S. Chiesa , M. Jarrell , R. T. Scalettar

Lattice gauge theories coupled to fermionic matter account for many interesting phenomena in both high energy physics and condensed matter physics. Certain regimes, e.g. at finite fermion density, are difficult to simulate with traditional…

高能物理 - 格点 · 物理学 2023-11-16 Julian Bender , Patrick Emonts , J. Ignacio Cirac

Using a lattice-gas description of the low-energy degrees of freedom of the quantum Heisenberg antiferromagnet on the frustrated two-leg ladder and bilayer lattices we examine the magnetization process at low temperatures for these spin…

强关联电子 · 物理学 2011-12-30 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

We present an algorithm for the efficient simulation of the half-filled spinless $t$-$V$ model on bipartite lattices, which combines the stochastic series expansion method with determinantal quantum Monte Carlo techniques widely used in…

强关联电子 · 物理学 2016-04-13 Lei Wang , Ye-Hua Liu , Matthias Troyer

We introduce regular series expansion for weakly- and moderately-correlated fermionic systems, based on Fluctuating Local Field approach. The method relies on the explicit account of leading fluctuating mode(s) and is therefore suitable for…

强关联电子 · 物理学 2024-12-25 Ya. S. Lyakhova , S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

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

A new Monte Carlo method is proposed for fermion systems interacting with classical degrees of freedom. To obtain a weight for each Monte Carlo sample with a fixed configuration of classical variables, the moment expansion of the density of…

强关联电子 · 物理学 2015-06-24 Yukitoshi Motome , Nobuo Furukawa

The study of quantum frustrated systems remains one of the most challenging subjects of quantum magnetism, as they can hold quantum spin liquids, whose characterization is quite elusive. The presence of gapped quantum spin liquids…

强关联电子 · 物理学 2019-10-16 D. Castells-Graells , A. Yuste , A. Sanpera

We present a technique that enables the evaluation of perturbative expansions based on one-loop-renormalized vertices up to large expansion orders. Specifically, we show how to compute large-order corrections to the random phase…

强关联电子 · 物理学 2020-11-19 Fedor Šimkovic , Riccardo Rossi , Michel Ferrero

We present a quantum Monte Carlo method which allows calculations on many-fermion systems at finite temperatures without any sign decay. This enables simulations of the grand-canonical ensemble at large system sizes and low temperatures.…

凝聚态物理 · 物理学 2009-10-31 Shiwei Zhang

We introduce a new numerical technique -- bosonic auxiliary-field Monte Carlo (bAFMC) -- which allows to calculate the thermal properties of large lattice-boson systems within a systematically improvable semiclassical approach, and which is…

强关联电子 · 物理学 2017-08-02 Daniele Malpetti , Tommaso Roscilde

Using a collective-mode Monte Carlo method (the Wolff-Swendsen-Wang algorithm), we compute the spin-stiffness of the two-dimensional classical Heisenberg model. We show that it is the relevant physical quantity to investigate the behaviour…

凝聚态物理 · 物理学 2009-10-22 Michel Caffarel , Patrick Azaria , Bertrand Delamotte , Dominique Mouhanna

Based on the canonical Lang-Firsov transformation of the Hamiltonian we develop a very efficient quantum Monte Carlo algorithm for the Holstein model with one electron. Separation of the fermionic degrees of freedom by a reweighting of the…

强关联电子 · 物理学 2007-05-23 Martin Hohenadler , Hans Gerd Evertz , Wolfgang von der Linden

A unique feature of the hybrid quantum Monte Carlo (HQMC) method is the potential to simulate negative sign free lattice fermion models with subcubic scaling in system size. Here we will revisit the algorithm for various models. We will…

强关联电子 · 物理学 2018-03-09 Stefan Beyl , Florian Goth , Fakher F. Assaad

We address the calculation of dynamical correlation functions for many fermion systems at zero temperature, using the auxiliary-field quantum Monte Carlo method. The two-dimensional Hubbard hamiltonian is used as a model system. Although…

强关联电子 · 物理学 2016-08-24 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang

We study the far-from-equilibrium properties of quenched magnetic nanoscopic classical spin systems. In particular, we focus on the interplay between lattice vibrations and magnetic frustrations induced by surface effects typical of an…

介观与纳米尺度物理 · 物理学 2020-01-01 Carla Lupo , Cedric Weber

For some models of interacting fermions the known solution to the notorious sign-problem in Monte Carlo (MC) simulations is to work with macroscopic fermionic determinants; the price, however, is a macroscopic scaling of the numerical…

强关联电子 · 物理学 2009-11-10 Evgueni Bourovski , Nikolay Prokof'ev , Boris Svistunov

The canonical one-band Hubbard model is studied using a computational method that mixes the Monte Carlo procedure with the mean field approximation. This technique allows us to incorporate thermal fluctuations and the development of…

Models of non-interacting fermions coupled to auxilliary classical degrees of freedom are relevant to the understanding of a wide variety of problems in many body physics, {\it e.g.} the description of manganites, diluted magnetic…

Geometrically frustrated magnetic molecules have attracted a lot of interest in the field of molecular magnetism as well as frustrated Heisenberg antiferromagnets. In this article we demonstrate how an approximate diagonalization scheme can…

强关联电子 · 物理学 2018-10-23 R. Schnalle , A. Laeuchli , J. Schnack