Critical Properties of S = 1 Bond-Alternating XXZ Chains and Hidden Z2 x Z2 Symmetry

Atsuhiro Kitazawa, Kiyohide Nomura

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63 Citations (Scopus)


Critical properties of the spin-1 bond-alternating XXZ chain are studied numerically. This model is appropriate to study the VBS picture and hidden Z2 x Z2 symmetry concerning to the Haldane gap problem. The possible phases are the ferromagnetic, the XY, the Haldane, the dimer, and the Néel ones. The critical properties of this model can be interpreted as the Ashkin-Teller type reflecting the hidden Z2 x Z2 symmetry. The phase transitions are of the Berezinskii-Kosterlitz-Thouless type (XY-Haldane and XY-dimer), of the 2D Gaussian type (Haldane-dimer), and of the 2D Ising type (Haldane-Néel and dimer-Néel). We determine the phase boundary and universality class using the recent developed techniques by the authors.

Original languageEnglish
Pages (from-to)3944-3956
Number of pages13
Journaljournal of the physical society of japan
Issue number12
Publication statusPublished - Dec 1997

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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