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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 / Ingo Peschel [and others] (eds.).

Contributor(s): Material type: TextTextSeries: Lecture notes in physics ; 528.Publication details: Berlin ; New York : Springer, ©1999.Description: 1 online resource (xvi, 355 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540487500
  • 3540487506
  • 9788354048756
  • 8354048756
Subject(s): Genre/Form: Additional physical formats: Print version:: Density-matrix renormalization.DDC classification:
  • 530.12/2 21
LOC classification:
  • QC174.17.D44 D48 1999
Other classification:
  • UD 8220
  • UO 4020
Online resources:
Contents:
Wilson's numerical renormalization group -- The Density Matrix Renormalization Group -- Thermodynamic limit and matrix-product states -- A recurrent variational approach -- Transfer-matrix approach to classical systems -- Quantum transfer-matrix and momentum-space DMRG -- Calculation of dynamical properties -- Properties of the hubbard chain -- Soliton bound-states in dimerized spin chains -- Haldane phase, impurity effects and spin ladders -- Spin chain properties -- Electronic structure using DMRG -- Symmetrized DMRG method for conjugated polymers -- Conjugated one-dimensional semiconductors -- Strongly correlated complex systems -- Non-hermitian problems and some other aspects -- Walls, wetting and surface criticality -- Critical two-dimensional ising films with fields -- One-dimensional Kondo lattices -- Impurities in spin chains -- Thermodynamics of ferrimagnets -- Thermodynamics of metallic kondo lattices -- Methods for electron-phonon systems -- Disordered one-dimensional fermi systems.
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
 In: Springer Nature eBookSummary: 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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Includes bibliographical references.

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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Print version record.

Wilson's numerical renormalization group -- The Density Matrix Renormalization Group -- Thermodynamic limit and matrix-product states -- A recurrent variational approach -- Transfer-matrix approach to classical systems -- Quantum transfer-matrix and momentum-space DMRG -- Calculation of dynamical properties -- Properties of the hubbard chain -- Soliton bound-states in dimerized spin chains -- Haldane phase, impurity effects and spin ladders -- Spin chain properties -- Electronic structure using DMRG -- Symmetrized DMRG method for conjugated polymers -- Conjugated one-dimensional semiconductors -- Strongly correlated complex systems -- Non-hermitian problems and some other aspects -- Walls, wetting and surface criticality -- Critical two-dimensional ising films with fields -- One-dimensional Kondo lattices -- Impurities in spin chains -- Thermodynamics of ferrimagnets -- Thermodynamics of metallic kondo lattices -- Methods for electron-phonon systems -- Disordered one-dimensional fermi systems.

English.

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