Journal ArticleDOI
A quantum Monte Carlo approach to many-body physics
TLDR
A review of the most commonly used Quantum Monte Carlo (QMC) algorithms for many-body problems in solid state physics can be found in this paper, where the authors give an overview of the principles of these methods, their strengths and weaknesses.About:
This article is published in Physics Reports.The article was published on 1992-11-01. It has received 147 citations till now. The article focuses on the topics: Monte Carlo method in statistical physics & Quantum Monte Carlo.read more
Citations
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Shell model Monte Carlo methods
TL;DR: In this article, a review of quantum Monte Carlo methods for dealing with large shell model problems is presented, including the ground state and thermal properties of pf-shell nuclei, thermal behavior of {gamma}-soft nuclei and calculation of double beta-decay matrix elements.
Journal ArticleDOI
SO(5) theory of antiferromagnetism and superconductivity
TL;DR: The SO(5) theory as discussed by the authors unifies antiferromagnetism and superconductivity by a symmetry principle and describes their rich phenomenology through a single low energy effective model.
Journal ArticleDOI
New approach in the microscopic Fermi systems theory
TL;DR: In this paper, a new version of the microscopic theory of non-relativistic Fermi systems based on functional relations between the ground state energy of a system and its linear response function is presented.
Journal ArticleDOI
Probing the Quench Dynamics of Antiferromagnetic Correlations in a 2D Quantum Ising Spin System
Elmer Guardado-Sanchez,Peter Brown,Debayan Mitra,Trithep Devakul,David A. Huse,Peter Schauß,Waseem Bakr +6 more
TL;DR: In this paper, the authors explore quantum dynamics in a synthetic 2D magnet, an essential step for testing theoretical tools for calculating properties of nonequilibrium quantum systems against real world data.
Journal ArticleDOI
Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
Elmer Guardado-Sanchez,Peter Brown,Debayan Mitra,Trithep Devakul,David A. Huse,Peter Schauss,Waseem Bakr +6 more
TL;DR: In this article, the dynamics of a two-dimensional Ising spin system with transverse and longitudinal fields as quench it across a quantum phase transition from a paramagnet to an antiferromagnet were investigated.
References
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Journal ArticleDOI
Ground state of the electron gas by a stochastic method
David M. Ceperley,Berni J. Alder +1 more
TL;DR: An exact stochastic simulation of the Schroedinger equation for charged Bosons and Fermions was used to calculate the correlation energies, to locate the transitions to their respective crystal phases at zero temperature within 10%, and to establish the stability at intermediate densities of a ferromagnetic fluid of electrons.
Journal Article
The ground state of the electron gas by a stochastic method
TL;DR: The results of the election were reported by the National Resource for Computing in Chemistry (NCI) as discussed by the authors, a non-profit organization for information technology in the chemical industry, which is based at the Berkeley Lab.
Book
The algebraic eigenvalue problem
TL;DR: Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues of matrices of condensed forms The LR and QR algorithms Iterative methods Bibliography.
Journal ArticleDOI
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
N. D. Mermin,Herbert Wagner +1 more
TL;DR: In this paper, it is rigorously proved that at any nonzero temperature, a one- or two-dimensional isotropic spin-S$ Heisenberg model with finite-range exchange interaction can be neither ferromagnetic nor antiferromagnetic.
Journal ArticleDOI
The Monte Carlo method.
N. Metropolis,Stanislaw M. Ulam +1 more
TL;DR: In this paper, the authors present a statistical approach to the study of integro-differential equations that occur in various branches of the natural sciences, such as biology and chemistry.