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

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 h...

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Bibliographic Details
Other Authors: Peschel, Ingo (Editor), Wang, Xiaoqun (Editor), Kaulke, Matthias (Editor), Hallberg, Karen (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:1st ed. 1999
Series:Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of 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