Journal article
Symmetry breaking in an extended O(2) model
Physical review. D, Vol.109(5), 054514
03/29/2024
DOI: 10.1103/PhysRevD.109.054514
Abstract
Motivated by attempts to quantum simulate lattice models with continuous Abelian symmetries using discrete approximations, we study an extended-O(2) model in two dimensions that differs from the ordinary O(2) model by the addition of an explicit symmetry breaking term -hqcos(qφ). Its coupling hq allows to smoothly interpolate between the O(2) model (hq=0) and a q-state clock model (hq→∞). 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 for noninteger q in the infinite coupling limit (hq→∞). We showed that there is a second-order phase transition at low temperature and a crossover at high temperature. In this work, we seek to 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, we know there is a second-order phase transition at infinite coupling (i.e. the well-known clock models). At finite coupling, we find that the critical exponents for q=3, 4 vary with the coupling, and for q=4 the transition may turn into a Berezinskii-Kosterlitz-Thouless transition at small coupling. We comment on the similarities and differences of the phase diagrams with those of quantum simulators of the Abelian-Higgs model based on ladder-shaped arrays of Rydberg atoms.
Details
- Title: Subtitle
- Symmetry breaking in an extended O(2) model
- Creators
- Leon Hostetler - Michigan State UniversityRyo SakaiJin Zhang - Chongqing UniversityAlexei Bazavov - Michigan State UniversityYannick Meurice - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Vol.109(5), 054514
- Publisher
- American Physical Society
- DOI
- 10.1103/PhysRevD.109.054514
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Grant note
- DOI: 10.13039/100000015, name: U.S. Department of Energy, award: DE-SC0010113, DE-SC0019139; DOI: 10.13039/501100001809, name: National Natural Science Foundation of China, award: 12304172, 12347101; DOI: 10.13039/501100005230, name: Natural Science Foundation of Chongqing, award: CSTB2023NSCQ-MSX0048; DOI: 10.13039/501100012226, name: Fundamental Research Funds for the Central Universities, award: 2023CDJXY-048, 2020CDJQY-Z003; DOI: 10.13039/100007126, name: Syracuse University; DOI: 10.13039/100000001, name: National Science Foundation, award: ACI-1341006; DOI: 10.13039/100017223, name: National Energy Research Scientific Computing Center, award: HEP-ERCAP0020659, HEP-ERCAP0023235; DOI: 10.13039/100006132, name: Office of Science; DOI: 10.13039/100006235, name: Lawrence Berkeley National Laboratory, award: DE-AC02-05CH11231; DOI: 10.13039/100007709, name: Michigan State University
- Language
- English
- Date published
- 03/29/2024
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984584903102771
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