Berezinskii-Kosterlitz-Thouless Transition of Spin-1 XXZ Chains in a Staggered Magnetic Field

Abstract

Phase diagram of S=1 XXZ chain in a staggered magnetic field is obtained numerically. The Berezinskii-Kosterlitz-Thouless transition between the XY and the antiferromagnetic phases is studied by the level-spectroscopy. Moreover we find that there is no distinction between the Haldane and the antiferromagnetic phases, since the Gaussian critical line does not appear, in contrast to the $S=1/2$ case. It is expected that some hidden $Z_2\times Z_2$ symmetry breaking happens not only in the Haldane phase but also in the antiferromagnetic one.

4 pages, LaTex(JPSJstyle), 8 figures, to appear in J.Phys.Soc.Jpn

References in corpus (5)

• Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation
• Correlation functions of the 2D sine-Gordon model
• Phase Diagram of $S=1$ Bond-Alternating XXZ chains
• Twist Boundary Conditions of Quantum Spin Chains near the Gaussian Fixed Points
• Critical Properties of the XXZ chain in External Staggered Magnetic Field

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• N-leg integer-spin ladders and tubes in commensurate external fields -Nonlinear sigma model approach-
• Entanglement properties of the Haldane phases: A finite system-size approach
• Non universality of entanglement convertibility
• Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions
• Phase diagram of spin-$1$ chains with Dzyaloshinskii-Moriya interaction
• Dynamically generated quadrupole polarization using Floquet adiabatic evolution