Stability of the Haldane phase in anisotropic magnetic ladders

Research output: Article

20 Citations (Scopus)

Abstract

We have considered the properties of anisotropic two-leg ladder models with S = 1/2 or S = 1 spins on the rungs, using White's density-matrix renormalization-group method. We have generalized the method by taking into account the symmetries of the model in order to reduce the dimensions of the matrix to be diagonalized, thereby making it possible to consider more states. The boundaries in the parameter space of the extended region, where the Haldane phase exists, are estimated.

Original languageEnglish
Pages (from-to)14449-14455
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume56
Issue number22
Publication statusPublished - dec. 1 1997

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Ladders
ladders
renormalization group methods
symmetry
matrices

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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title = "Stability of the Haldane phase in anisotropic magnetic ladders",
abstract = "We have considered the properties of anisotropic two-leg ladder models with S = 1/2 or S = 1 spins on the rungs, using White's density-matrix renormalization-group method. We have generalized the method by taking into account the symmetries of the model in order to reduce the dimensions of the matrix to be diagonalized, thereby making it possible to consider more states. The boundaries in the parameter space of the extended region, where the Haldane phase exists, are estimated.",
author = "{\"O}rs Legeza and Jen{\"o} S{\'o}lyom",
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N2 - We have considered the properties of anisotropic two-leg ladder models with S = 1/2 or S = 1 spins on the rungs, using White's density-matrix renormalization-group method. We have generalized the method by taking into account the symmetries of the model in order to reduce the dimensions of the matrix to be diagonalized, thereby making it possible to consider more states. The boundaries in the parameter space of the extended region, where the Haldane phase exists, are estimated.

AB - We have considered the properties of anisotropic two-leg ladder models with S = 1/2 or S = 1 spins on the rungs, using White's density-matrix renormalization-group method. We have generalized the method by taking into account the symmetries of the model in order to reduce the dimensions of the matrix to be diagonalized, thereby making it possible to consider more states. The boundaries in the parameter space of the extended region, where the Haldane phase exists, are estimated.

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