Phase Diagram of $S=1$ Bond-Alternating XXZ chains

Abstract

The phase transitions between the XY, the dimer and the Haldane phases of the spin-1 bond-alternating XXZ chain are studied by the numerical diagonalization. We determine the phase diagram at $T=0$ and also identify the universality class with the level spectroscopy. We find that exactly on $\Delta =0$ there is a Berezinskii-Kosterlitz-Thouless transition line which separates the XY and the Haldane phase and there exists a multicritical point of the XY, the dimer and the Haldane phases. We discuss that the critical properties of this model is of the 2-D Ashkin-Teller type reflecting the hidden $Z_2\times Z_2$ symmetry.

Latex, 4 figures on request

References in corpus (3)

• Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation
• Correlation functions of the 2D sine-Gordon model
• The phase diagram of the anisotropic Spin-1 Heisenberg Chain

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