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Symmetry breaking and clock model interpolation in 2D classical O(2) spin systems
Conference proceeding   Open access

Symmetry breaking and clock model interpolation in 2D classical O(2) spin systems

Leon Hostetler, Ryo Sakai, Jin Zhang, Alexei Bazavov, Yannick Meurice and SISSA Medialab
40TH INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY, LATTICE2023, Vol.453, 223
11/06/2024
DOI: 10.22323/1.453.0223
url
https://doi.org/10.22323/1.453.0223View
Published (Version of record) Open Access

Abstract

Motivated by attempts to quantum simulate lattice models with continuous Abelian symmetries using discrete approximations, we study an extended-O(2) model that differs from the ordinary O(2) model by the addition of an explicit symmetry breaking term. Its coupling allows to smoothly interpolate between the O(2) model (zero coupling) and a q-state clock model (infinite coupling). In the latter case, a q-state clock model can also be defined for noninteger values of q. Thus, such a limit can also be considered as an analytic continuation of an ordinary q-state clock model to noninteger q, In previous work, we established the phase diagram of the model in the infinite coupling limit. We showed that for noninteger q, there is a second-order phase transition at low temperature and a crossover at high temperature. In this work, we establish the phase diagram at finite values of the coupling using Monte Carlo and tensor methods. We show that for noninteger q, the second-order phase transition at low temperature and crossover at high temperature persist to finite coupling. For integer q = 2, 3, 4, there is a second-order phase transition at infinite coupling (i.e. the clock models). At intermediate coupling, there are second-order phase transitions, but the critical exponents vary with the coupling. At small coupling, the second-order transition for q = 4 may turn into a BKT transition.
 Physical Sciences Physics Physics, Particles & Fields Science & Technology

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