Density-Matrix Renormalization

A New Numerical Method in Physics Lectures of a Seminar and Workshop Held at the Max-Planck-Institut für Physik komplexer Systeme Dresden, Germany, August 24th to September 18th, 1998

  • Editors
  • Ingo Peschel
  • Matthias Kaulke
  • Xiaoqun Wang
  • Karen Hallberg
Part of the Lecture Notes in Physics book series (LNP, volume 528)

Table of contents

  1. Front Matter
  2. Reinhard M. Noack, Steven R. White
    Pages 27-66
  3. Stefan Rommer, Stellan Östlund
    Pages 67-89
  4. Miguel A. Martín-Delgado, Germán Sierra
    Pages 91-125
  5. T. Nishino, K. Okunishi, Y. Hieida, T. Hikihara, H. Takasaki
    Pages 127-148
  6. Tao Xiang, Xiaoqun Wang
    Pages 149-172
  7. Xiaoqun Wang, Karen Hallberg, Felix Naef
    Pages 173-194
  8. Reinhard M. Noack, Stéphane Daul, Sebastian Kneer
    Pages 197-209
  9. Erik S. Sørensen, Ian Affleck, David Augier, Didier Poilblanc
    Pages 211-220
  10. Karen Hallberg
    Pages 231-236
  11. Steven R. White
    Pages 237-246
  12. S. Ramasesha, Kunj Tandon
    Pages 247-260
  13. William Barford, Robert J. Bursill
    Pages 261-269
  14. Shaojin Qin, Jizhong Lou, Zhaobin Su, Lu Yu
    Pages 271-278
  15. Ingo Peschel, Matthias Kaulke
    Pages 279-285
  16. Enrico Carlon
    Pages 287-294
  17. Andrzej Drzewiński
    Pages 295-302
  18. Naokazu Shibata
    Pages 303-310

About these proceedings

Introduction

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.

Keywords

Renormalization group density dynamics electron fields molecule numerical method physics polymer renormalization semiconductor soliton spin statistical physics thermodynamics

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0106062
  • Copyright Information Springer-Verlag 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66129-0
  • Online ISBN 978-3-540-48750-0
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361