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Phase diagram of generalized XY model using tensor renormalization group

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arxiv 2404.17504 v2 pith:HXOVFMG6 submitted 2024-04-26 hep-lat cond-mat.stat-mechhep-th

Phase diagram of generalized XY model using tensor renormalization group

classification hep-lat cond-mat.stat-mechhep-th
keywords modeldeformationgeneralizedgrouphalf-integerintegerphaserenormalization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We use the higher-order tensor renormalization group method to study the two-dimensional generalized XY model that admits integer and half-integer vortices. This model is the deformation of the classical XY model and has a rich phase structure consisting of nematic, ferromagnetic, and disordered phases and three transition lines belonging to the Berezinskii-Kosterlitz-Thouless (BKT) and Ising class. We explore the model for a wide range of temperatures, $T$, and the deformation parameter, $\Delta$, and compute specific heat along with integer and half-integer magnetic susceptibility, finding both BKT-like and Ising-like transitions and the region where they meet.

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Cited by 2 Pith papers

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  2. Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions

    hep-lat 2026-01 unverdicted novelty 7.0

    Tensor renormalization group computes symmetry-twisted partition functions to identify critical points solely from them, yielding Tc=2.2017(2) and nu=0.663(33) for the 3D O(2) model plus TBKT=0.8928(2) for the 2D O(2)...