Density-Matrix Renormalization - A New Numerical Method in Physics

Lectures of a Seminar and Workshop Held at the Max-Planck-Institut Fur Physik Komp

By: Ingo Peschel (Editor), Xiaoqun Wang (Editor), Matthias Kaulke (Editor)

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Hardcover | 1 July 1999

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380 Pages

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23.39 x 15.6 x 2.24

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This book offers the first comprehensive account of the new method of density matrix renormalization. Recent years have seen enormous progress in the numerical treatment of low-dimensional quantum sytems. With this new technique, which selects a reduced set of basis states via density matrices, it has become possible to treat large systems with amazing accuracy. The method has been applied successfully to a variety of important one-dimensional problems such as spin chains, Kondo models, and correlated electron systems. Extensions to other systems and higher dimensions are currently being developed. The contributions to this book are written by leading experts in the field. The two parts contain an introduction to the subject and a review of physical applications. As a combination of advanced textbook and guide to current research the book should become a standard source for everyone interested in the topic.

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Preface
How It All Began: A Personal Account
Wilson's Numerical Renormalization Group	p. 3
The Density Matrix Renormalization Group	p. 27
Thermodynamic Limit and Matrix-Product States	p. 67
A Recurrent Variational Approach	p. 91
Transfer-Matrix Approach to Classical Systems	p. 127
Quantum Transfer-Matrix and Momentum-Space DMRG	p. 149
Calculation of Dynamical Properties	p. 173
Properties of the Hubbard Chain	p. 197
Soliton Bound-States in Dimerized Spin Chains	p. 211
Haldane Phase, Impurity Effects and Spin Ladders	p. 221
Spin-Chain Properties	p. 231
Electronic Structure using DMRG	p. 237
Symmetrized DMRG Method for Conjugated Polymers	p. 247
Conjugated One-Dimensional Semiconductors	p. 261
Strongly Correlated Complex Systems	p. 271
Non-Hermitian Problems and Some Other Aspects	p. 279
Walls, Wetting and Surface Criticality	p. 287
Critical Two-Dimensional Ising Films with Fields	p. 295
One-Dimensional Kondo Lattices	p. 303
Impurities in Spin Chains	p. 311
Thermodynamics of Ferrimagnets	p. 321
Thermodynamics of Metallic Kondo Lattices	p. 329
Methods for Electron-Phonon Systems	p. 337
Disordered One-Dimensional Fermi Systems	p. 345
Table of Contents provided by Blackwell. All Rights Reserved.

Density-Matrix Renormalization - A New Numerical Method in Physics

Lectures of a Seminar and Workshop Held at the Max-Planck-Institut Fur Physik Komp

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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