Overview

This book reviews recent developments of quantum Monte Carlo methods and some remarkable applications to interacting quantum spin systems and strongly correlated electron systems. It contains twenty-two papers by thirty authors. Some of the features are as follows. The first paper gives the foundations of the standard quantum Monte Carlo method, including some recent results on higher-order decompositions of exponential operators and ordered exponentials. The second paper presents a general review of quantum Monte Carlo methods used in the present book. One of the most challenging problems in the field of quantum Monte Carlo techniques, the negative-sign problem, is also discussed and new methods proposed to partially overcome it. In addition, low-dimensional quantum spin systems are studied. Some interesting applications of quantum Monte Carlo methods to fermion systems are also presented to investigate the role of strong correlations and fluctuations of electrons and to clarify the mechanism of high-Tc superconductivity. Not only thermal properties but also quantum-mechanical ground-state properties have been studied by the projection technique using auxiliary fields. Further, the Haldane gap is confirmed by numerical calculations. Active researchers in the forefront of condensed matter physics as well as young graduate students who want to start learning the quantum Monte Carlo methods will find this book useful.

Full Product Details

Author:   Masuo Suzuki (Univ Of Tokyo, Japan)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 22.00cm
Weight:   0.544kg
ISBN:  

9789810236830

ISBN 10:   9810236832
Pages:   376
Publication Date:   01 December 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

The Quantum Transfer Matrix and Its Application to Quantum Spin Chains (K Kubo); Transfer Matrices in Quantum Many-Body Systems (T Koma); Monte Carlo Calculations of Elementary Excitation (M Takahashi); The Decoupled Cell Method of Quantum Monte Carlo Calculation (S Homma); Decoupled Cell Monte Carlo Study of the Critical Properties of the Spin-1/2 Ferromagnetic Heisenberg Model in Three Dimensions (R J Creswick & C J Sisson); Variational Monte Carlo Studies of Correlated Electrons (H Shiba); Quantum Monte Carlo Simulation of Multiband Fermion Systems and Its Application to Superconductivity (K Kuroki & H Aoki); Quantum Monte Carlo in the Infinite Dimensional Limit (M Jarrell et al); Aspects of the Sign Problem (J H Samson); Ground-State Projection Using Auxiliary Fields (S Fahy); Fermion Simulations of Correlated Systems (M Imada); Dirty Bosons in 2D: Phases and Phase Transitions (N Trivedi & M Makivi'c). (Part Contents).

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