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Title:
Phase transitions of a 2D deformed-AKLT model
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Abstract:
We study deformed-AKLT models on the square lattice, via a two-parameter family of O(2)-symmetric ground-state wavefunctions as defined by Niggemann, Kl\"umper, and Zittartz, who found previously that the phase diagram consists of a N\'eel-ordered phase and a disordered phase which contains the AKLT point. Using tensor-nework methods, we not only confirm the N\'eel phase but also find an XY phase with quasi-long-range order, and investigate the consequences of a seemingly isolated product-state point at the boundary of the phase diagram.
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