Transition from Haldane phase to spin liquid and incommensurate correlation in spin-1/2 Heisenberg chains

Shinji Watanabe, Hisatoshi Yokoyama

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)

Abstract

The bulk properties and impurity effect in the one-dimensional S = 1/2 Heisenberg model with dimerization and next-nearest-neighbor exchange are studied by the density matrix renormalization group and exact diagonalization methods. This model widely covers the S = 1 Heisenberg model, two-leg ladders, bond-alternating chains and the S = 1/2 Heisenberg model. Almost the whole parameter space belongs to the Haldane phase. In the non-dimerizing limit a transition to a kind of spin liquid takes place, characterized by the delocalized spin polarization. This transition causes the distinct impurity effects between a spin-Peierls compound CuGeO3 and the Haldane systems. Experimental aspects of a bond-alternating compound CuNb2O6 are also discussed. Furthermore, the incommensurate correlation arising in this model is extensively studied, and a phase diagram is constructed.

Original languageEnglish
Pages (from-to)2073-2097
Number of pages25
Journaljournal of the physical society of japan
Volume68
Issue number6
DOIs
Publication statusPublished - 1999 Jun

Keywords

  • CuGeO
  • CuNbO
  • DMRG
  • Exact diagonalization
  • Haldane phase
  • Impurity effect
  • Incommensurate correlation
  • Spin gap
  • Spin-Peierls transition
  • Two-leg ladder

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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