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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

  • Conference proceedings
  • © 1999

Overview

Editors:
  1. Ingo Peschel
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  2. Matthias Kaulke
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  3. Xiaoqun Wang
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  4. Karen Hallberg
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  • First book to detail this powerful new method
  • Serves simultaneously as an advanced textbook and a guide to current research

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

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Table of contents (24 papers)

  1. Front Matter

    Download chapter PDF

  2. Wilson’s numerical renormalization group

    • Theo Costi
    Pages 3-25

  3. The Density Matrix Renormalization Group

    • Reinhard M. Noack, Steven R. White
    Pages 27-66

  4. Thermodynamic limit and matrix-product states

    • Stefan Rommer, Stellan Östlund
    Pages 67-89

  5. A recurrent variational approach

    • Miguel A. Martín-Delgado, Germán Sierra
    Pages 91-125

  6. Transfer-matrix approach to classical systems

    • T. Nishino, K. Okunishi, Y. Hieida, T. Hikihara, H. Takasaki
    Pages 127-148

  7. Quantum transfer-matrix and momentum-space DMRG

    • Tao Xiang, Xiaoqun Wang
    Pages 149-172

  8. Calculation of dynamical properties

    • Xiaoqun Wang, Karen Hallberg, Felix Naef
    Pages 173-194

  9. Properties of the hubbard chain

    • Reinhard M. Noack, Stéphane Daul, Sebastian Kneer
    Pages 197-209

  10. Soliton bound-states in dimerized spin chains

    • Erik S. Sørensen, Ian Affleck, David Augier, Didier Poilblanc
    Pages 211-220

  11. Haldane phase, impurity effects and spin ladders

    • Xiaoqun Wang
    Pages 221-230

  12. Spin chain properties

    • Karen Hallberg
    Pages 231-236

  13. Electronic structure using DMRG

    • Steven R. White
    Pages 237-246

  14. Symmetrized DMRG method for conjugated polymers

    • S. Ramasesha, Kunj Tandon
    Pages 247-260

  15. Conjugated one-dimensional semiconductors

    • William Barford, Robert J. Bursill
    Pages 261-269

  16. Strongly correlated complex systems

    • Shaojin Qin, Jizhong Lou, Zhaobin Su, Lu Yu
    Pages 271-278

  17. Non-hermitian problems and some other aspects

    • Ingo Peschel, Matthias Kaulke
    Pages 279-285

  18. Walls, wetting and surface criticality

    • Enrico Carlon
    Pages 287-294

  19. Critical two-dimensional ising films with fields

    • Andrzej Drzewiński
    Pages 295-302

  20. One-dimensional Kondo lattices

    • Naokazu Shibata
    Pages 303-310
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Density-Matrix Renormalization - A New Numerical Method in Physics

  • Book Subtitle: 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

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/BFb0106062

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Hardcover ISBN: 978-3-540-66129-0Published: 21 June 1999

  • Softcover ISBN: 978-3-642-08541-3Published: 09 December 2010

  • eBook ISBN: 978-3-540-48750-0Published: 06 May 2007

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XVI, 355

  • Topics: Theoretical, Mathematical and Computational Physics, Condensed Matter Physics

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