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
Conference proceedings

DOI: 10.1007/BFb0106062

Part of the Lecture Notes in Physics book series (LNP, volume 528)

Table of contents (24 papers)

  1. Front Matter
  2. The Density Matrix Renormalization Group
    Reinhard M. Noack, Steven R. White
    Pages 27-66
  3. Thermodynamic limit and matrix-product states
    Stefan Rommer, Stellan Östlund
    Pages 67-89
  4. A recurrent variational approach
    Miguel A. Martín-Delgado, Germán Sierra
    Pages 91-125
  5. Transfer-matrix approach to classical systems
    T. Nishino, K. Okunishi, Y. Hieida, T. Hikihara, H. Takasaki
    Pages 127-148
  6. Quantum transfer-matrix and momentum-space DMRG
    Tao Xiang, Xiaoqun Wang
    Pages 149-172
  7. Calculation of dynamical properties
    Xiaoqun Wang, Karen Hallberg, Felix Naef
    Pages 173-194
  8. Properties of the hubbard chain
    Reinhard M. Noack, Stéphane Daul, Sebastian Kneer
    Pages 197-209
  9. Soliton bound-states in dimerized spin chains
    Erik S. Sørensen, Ian Affleck, David Augier, Didier Poilblanc
    Pages 211-220
  10. Spin chain properties
    Karen Hallberg
    Pages 231-236
  11. Electronic structure using DMRG
    Steven R. White
    Pages 237-246
  12. Symmetrized DMRG method for conjugated polymers
    S. Ramasesha, Kunj Tandon
    Pages 247-260
  13. Conjugated one-dimensional semiconductors
    William Barford, Robert J. Bursill
    Pages 261-269
  14. Strongly correlated complex systems
    Shaojin Qin, Jizhong Lou, Zhaobin Su, Lu Yu
    Pages 271-278
  15. Non-hermitian problems and some other aspects
    Ingo Peschel, Matthias Kaulke
    Pages 279-285
  16. Walls, wetting and surface criticality
    Enrico Carlon
    Pages 287-294
  17. Critical two-dimensional ising films with fields
    Andrzej Drzewiński
    Pages 295-302
  18. One-dimensional Kondo lattices
    Naokazu Shibata
    Pages 303-310

About these proceedings


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.


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

Bibliographic information

  • 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