Symmetry-protected topological phases and transition in a frustrated spin-12 XXZ chain

Hiroshi Ueda and Shigeki Onoda
Phys. Rev. B 90, 214425 – Published 15 December 2014

Abstract

A frustrated spin-12 XXZ zigzag chain relevant to Rb2Cu2Mo3O12 is revisited in the light of symmetry-protected topological (SPT) phases. Using a density-matrix renormalization group method for infinite systems, we identify projective representations for four distinct time-reversal invariant SPT phases; two parity-symmetric dimer phases near the Heisenberg and XX limits and two parity-broken vector-chiral (VC) dimer phases in between. A small bond alternation in the nearest-neighbor ferromagnetic exchange coupling induces a direct SPT transition between the two distinct VC dimer phases. It is also found numerically that two Berezinskii-Kosterlitz-Thouless transitions, which occur from the gapless to the two distinct gapped VC phases in the case of δ=0, meet each other in the case of δ>0 at a Gaussian criticality of the same Tomonaga-Luttinger parameter value as in the SU(2)-symmetric case.

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  • Received 19 June 2014
  • Revised 26 November 2014

DOI:https://doi.org/10.1103/PhysRevB.90.214425

©2014 American Physical Society

Authors & Affiliations

Hiroshi Ueda1 and Shigeki Onoda1,2

  • 1Condensed Matter Theory Laboratory, RIKEN, Wako, Saitama 351-0198, Japan
  • 2RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan

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Issue

Vol. 90, Iss. 21 — 1 December 2014

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