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The recently developed auxiliary field diffusion Monte Carlo method is applied to compute the equation of state and the compressibility of neutron matter. By combining diffusion Monte Carlo for the spatial degrees of freedom and auxiliary…

Nuclear Theory · Physics 2009-11-10 A. Sarsa , S. Fantoni , K. E. Schmidt , F. Pederiva

Microscopic models of classical degrees of freedom coupled to non-interacting fermions occur in many different contexts. Prominent examples from solid state physics are descriptions of colossal magnetoresistance manganites and diluted…

Statistical Mechanics · Physics 2009-06-16 Alexander Weiße

A quantum Monte Carlo algorithm is constructed starting from the standard perturbation expansion in the interaction representation. The resulting configuration space is strongly related to that of the Stochastic Series Expansion (SSE)…

Strongly Correlated Electrons · Physics 2009-10-30 A. W. Sandvik , R. R. P. Singh , D. K. Campbell

Studying charge transport in models with nonlocal carrier--phonon interaction is difficult because it requires finite-temperature real-time correlation functions of mixed carrier--phonon operators. Focusing on models with discrete undamped…

Strongly Correlated Electrons · Physics 2025-07-08 Veljko Janković

We describe a method and its implementation for calculating electronic structure and electron transport without approximating the structure using periodic super-cells. This effectively removes spurious periodic images and interference…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Nick Papior , Gaetano Calogero , Susanne Leitherer , Mads Brandbyge

Stationary electric transport in semiconductor nanostructures is studied by the method of nonequilibrium Green functions. In the case of sequential tunneling the results are compared with density matrix theory, providing almost identical…

Mesoscale and Nanoscale Physics · Physics 2008-09-12 Andreas Wacker

Equilibrium molecular dynamics (EMD) simulations through Green-Kubo formula (GKF) have been widely used in the study of thermal conductivity of various materials. However, there exist controversial simulation results which have huge…

Statistical Mechanics · Physics 2015-05-19 Jie Chen , Gang Zhang , Baowen Li

We derive equations of motion for Green's functions of the multi-orbital Anderson impurity model by differentiating symmetrically with respect to all time arguments. The resulting equations relate the one- and two-particle Green's function…

Strongly Correlated Electrons · Physics 2019-08-14 Josef Kaufmann , Patrik Gunacker , Alexander Kowalski , Giorgio Sangiovanni , Karsten Held

Particle filters (also called sequential Monte Carlo methods) are widely used for state and parameter estimation problems in the context of nonlinear evolution equations. The recently proposed ensemble transform particle filter (ETPF)…

Numerical Analysis · Mathematics 2017-04-11 Walter Acevedo , Jana de Wiljes , Sebastian Reich

Two-terminal spintronic devices remain challenging to model under realistic operating conditions, where the interplay of complex electronic structures, correlation effects and bias-driven non-equilibrium dynamics may significantly impact…

Strongly Correlated Electrons · Physics 2025-11-25 Declan Nell , Milos Radonjic , Ivan Rungger , Liviu Chioncel , Stefano Sanvito , Andrea Droghetti

This paper continues our treatment of the Neutron Transport Equation (NTE) building on the work in [arXiv:1809.00827v2], [arXiv:1810.01779v4] and [arXiv:1901.00220v3], which describes the flux of neutrons through inhomogeneous fissile…

Probability · Mathematics 2021-10-11 Alexander M. G. Cox , Simon C. Harris , Andreas E. Kyprianou , Minmin Wang

We introduce diagrammatic technique for Hubbard nonequilibrium Green functions (NEGF). The formulation is an extension of equilibrium considerations for strongly correlated lattice models to description of current carrying molecular…

Mesoscale and Nanoscale Physics · Physics 2016-11-04 Feng Chen , Maicol A. Ochoa , Michael Galperin

Wave-function Monte Carlo methods are an important tool for simulating quantum systems, but the standard method cannot be used to simulate decoherence in continuously measured systems. Here we present a new Monte Carlo method for such…

Quantum Physics · Physics 2013-05-29 Kurt Jacobs

We introduce methodologies for highly scalable quantum Monte Carlo simulations of electron-phonon models, and report benchmark results for the Holstein model on the square lattice. The determinant quantum Monte Carlo (DQMC) method is a…

Strongly Correlated Electrons · Physics 2022-07-18 Benjamin Cohen-Stead , Owen Bradley , Cole Miles , George Batrouni , Richard Scalettar , Kipton Barros

We present a highly scalable Monte Carlo (MC) three-dimensional photon transport simulation platform designed for heterogeneous computing systems. Through the development of a massively parallel MC algorithm using the Open Computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-06 Leiming Yu , Fanny Nina-Paravecino , David Kaeli , Qianqian Fang

Starting from the {\em ab initio} many-body theory of electrons and phonons, we go through a series of well defined simplifications to derive a set of coupled equations of motion for the electronic occupations and polarizations, nuclear…

Materials Science · Physics 2023-11-08 Gianluca Stefanucci , Enrico Perfetto

This paper presents an ab initio methodology to account for electron-phonon interactions in 2D materials, focusing on transition metal dichalcogenides (TMDCs). It combines density functional theory and maximally localized Wannier functions…

Mesoscale and Nanoscale Physics · Physics 2023-12-04 Jonathan Backman , Youseung Lee , Mathieu Luisier

Many fields of physics use quantum Monte Carlo techniques, but struggle to estimate dynamic spectra via the analytic continuation of imaginary-time quantum Monte Carlo data. One of the most ubiquitous approaches to analytic continuation is…

Computational Physics · Physics 2025-10-10 Thomas Chuna , Nicholas Barnfield , Tobias Dornheim , Michael P. Friedlander , Tim Hoheisel

We present a real-space method for first-principles nano-scale electronic transport calculations. We use the non-equilibrium Green's function method with density functional theory and implement absorbing boundary conditions (ABCs, also…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 Baruch Feldman , Tamar Seideman , Oded Hod , Leeor Kronik

Computationally inexpensive approximations describing electron-phonon scattering in molecular-scale conductors are derived from the non-equilibrium Green's function method. The accuracy is demonstrated with a first principles calculation on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Magnus Paulsson , Thomas Frederiksen , Mads Brandbyge