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

Atsuhiro Kitazawa·Kiyohide Nomura·Kiyomi Okamoto
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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 $Δ=0$ 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.

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Atsuhiro Kitazawa, Kiyohide Nomura, Kiyomi Okamoto. 1995-11-25. Phase Diagram of $S=1$ Bond-Alternating XXZ chains. https://doi.org/10.1103/physrevlett.76.4038

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