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We describe a simple model of fermions in quasi-one dimension that features interaction induced deconfinement (a phase transition where the effective dimensionality of the system increases as interactions are turned on) and which can be…

Strongly Correlated Electrons · Physics 2015-05-13 Sam T. Carr , Jorge Quintanilla , Joseph J. Betouras

Dynamical Mean Field Theory (DMFT) is a successful method to compute the electronic structure of strongly correlated materials, especially when it is combined with density functional theory (DFT). Here, we present an open-source…

Strongly Correlated Electrons · Physics 2021-02-03 Vijay Singh , Uthpala Herath , Benny Wah , Xingyu Liao , Aldo H. Romero , Hyowon Park

The pairwise entanglement, measured by concurrence and geometric phase in $d=2,3$-dimensional free-fermion lattice systems have been studied for the ground state in this paper. Their derivation with respect to the external parameter show…

Quantum Physics · Physics 2009-02-18 H. T. Cui , Y. F. Zhang

We develop a strong coupling approach for a general lattice problem. We argue that this strong coupling perspective represents the natural framework for a generalization of the dynamical mean field theory (DMFT). The main result of this…

Strongly Correlated Electrons · Physics 2009-11-10 Tudor D. Stanescu , Gabriel Kotliar

In this paper, we show how the two-particle Green function (2PGF) can be obtained within the framework of the Dual Fermion approach. This facilitates the calculation of the susceptibility in strongly correlated systems where long-ranged…

Strongly Correlated Electrons · Physics 2009-11-13 S. Brener , H. Hafermann , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

We study the variational solution of generic interacting fermionic lattice systems using fermionic Gaussian states and show that the process of "gaussification", leading to a nonlinear closed equation of motion for the covariance matrix, is…

Quantum Physics · Physics 2013-11-20 Christina V. Kraus , Tobias J. Osborne

Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna

A novel lattice approach is presented for studying systems comprising a large number of interacting nonrelativistic fermions. The construction is ideally suited for numerical study of fermions near unitarity--a strongly coupled regime…

High Energy Physics - Lattice · Physics 2015-03-17 Michael G. Endres , David B. Kaplan , Jong-Wan Lee , Amy N. Nicholson

We report on an implementation of the multiconfigurational time-dependent Hartree method (MCTDH) for spin-polarized fermions (MCTDHF). Our approach is based on a mapping for opera- tors in Fock space that allows a compact and efficient…

Computational Physics · Physics 2016-03-30 Elke Fasshauer , Axel U. J. Lode

I derive a dual description of lattice fermions, specifically focusing on the t-J and Hubbard models, that allow diagrammatic techniques to be employed efficiently in the strongly correlated regime, as well as for systems with a restricted…

Strongly Correlated Electrons · Physics 2018-03-13 Johan Carlström

We address in this work the question of the discretization of two-dimensional periodic Dirac Hamiltonians. Standard finite differences methods on rectangular grids are plagued with the so-called Fermion doubling problem, which creates…

Computational Physics · Physics 2020-06-01 H. Chen , O. Pinaud , M. Tahir

We present the ALPS (Algorithms and Libraries for Physics Simulations) project, an international open source software project to develop libraries and application programs for the simulation of strongly correlated quantum lattice models…

We present the open-source package openQ*D-1.0, which has been primarily, but not uniquely, designed to perform lattice simulations of QCD+QED and QCD, with and without C* boundary conditions, and O(a) improved Wilson fermions. The use of…

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…

Strongly Correlated Electrons · Physics 2024-12-25 Ya. S. Lyakhova , S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

Self-consistent dynamical approximations for strongly correlated fermion systems are particularly successful in capturing the dynamical competition of local correlations. In these, the effect of spatially extended degrees of freedom is…

Strongly Correlated Electrons · Physics 2014-06-12 Andrey E. Antipov , Emanuel Gull , Stefan Kirchner

Many chemical systems cannot be described by quantum chemistry methods based on a singlereference wave function. Accurate predictions of energetic and spectroscopic properties require a delicate balance between describing the most important…

Chemical Physics · Physics 2018-06-12 Erik Donovan Hedegård , Julien Toulouse , Hans Jørgen Aagaard Jensen

We develop a pairing-field formalism for ab initio studies of non-relativistic two-component fermions on a $(d\!+\!1)$-dimensional spacetime lattice. More specifically, we focus on theories where the interaction between the two components…

Quantum Gases · Physics 2024-04-03 Florian Ehmann , Joaquín E. Drut , Jens Braun

In the framework of the so called link approach we study exact lattice supersymmetry for the simplest supersymmetric model: N=1 supersymmetry in D=1. The model is described by a lattice with spacing a/2, thus containing twice as many sites…

High Energy Physics - Lattice · Physics 2010-11-05 Alessandro D'Adda , Alessandra Feo , Issaku Kanamori , Noboru Kawamoto , Jun Saito

We investigate a model containing two species of one-dimensional fermions interacting via a gauge field determined by the positions of all particles of the opposite species. The model can be solved exactly via a simple unitary…

Condensed Matter · Physics 2009-10-30 H. J. Schulz , B. S. Shastry

We study finite-temperature properties of strongly correlated fermions in two-dimensional optical lattices by means of numerical linked cluster expansions, a computational technique that allows one to obtain exact results in the…

Strongly Correlated Electrons · Physics 2015-03-13 Ehsan Khatami , Marcos Rigol