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Article: Percolation of the two-dimensional XY model in the flow representation

TitlePercolation of the two-dimensional XY model in the flow representation
Authors
Issue Date2021
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/pre/
Citation
Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, 2021, v. 103 n. 6, p. article no. 062131 How to Cite?
AbstractWe simulate the two-dimensional XY model in the flow representation by a worm-type algorithm, up to linear system size L=4096, and study the geometric properties of the flow configurations. As the coupling strength K increases, we observe that the system undergoes a percolation transition Kperc from a disordered phase consisting of small clusters into an ordered phase containing a giant percolating cluster. Namely, in the low-temperature phase, there exhibits a long-ranged order regarding the flow connectivity, in contrast to the quasi-long-range order associated with spin properties. Near Kperc, the scaling behavior of geometric observables is well described by the standard finite-size scaling ansatz for a second-order phase transition. The estimated percolation threshold Kperc=1.1053(4) is close to but obviously smaller than the Berezinskii-Kosterlitz-Thouless (BKT) transition point KBKT=1.1193(10), which is determined from the magnetic susceptibility and the superfluid density. Various interesting questions arise from these unconventional observations, and their solutions would shed light on a variety of classical and quantum systems of BKT phase transitions. © 2021 American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/301177
ISSN
2023 Impact Factor: 2.2
2023 SCImago Journal Rankings: 0.805
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWang, BZ-
dc.contributor.authorHou, P-
dc.contributor.authorHuang, CJ-
dc.contributor.authorDeng, Y-
dc.date.accessioned2021-07-27T08:07:16Z-
dc.date.available2021-07-27T08:07:16Z-
dc.date.issued2021-
dc.identifier.citationPhysical Review E: covering statistical, nonlinear, biological, and soft matter physics, 2021, v. 103 n. 6, p. article no. 062131-
dc.identifier.issn2470-0045-
dc.identifier.urihttp://hdl.handle.net/10722/301177-
dc.description.abstractWe simulate the two-dimensional XY model in the flow representation by a worm-type algorithm, up to linear system size L=4096, and study the geometric properties of the flow configurations. As the coupling strength K increases, we observe that the system undergoes a percolation transition Kperc from a disordered phase consisting of small clusters into an ordered phase containing a giant percolating cluster. Namely, in the low-temperature phase, there exhibits a long-ranged order regarding the flow connectivity, in contrast to the quasi-long-range order associated with spin properties. Near Kperc, the scaling behavior of geometric observables is well described by the standard finite-size scaling ansatz for a second-order phase transition. The estimated percolation threshold Kperc=1.1053(4) is close to but obviously smaller than the Berezinskii-Kosterlitz-Thouless (BKT) transition point KBKT=1.1193(10), which is determined from the magnetic susceptibility and the superfluid density. Various interesting questions arise from these unconventional observations, and their solutions would shed light on a variety of classical and quantum systems of BKT phase transitions. © 2021 American Physical Society.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/pre/-
dc.relation.ispartofPhysical Review E: covering statistical, nonlinear, biological, and soft matter physics-
dc.rightsCopyright [2021] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevE.103.062131].-
dc.titlePercolation of the two-dimensional XY model in the flow representation-
dc.typeArticle-
dc.identifier.emailHuang, CJ: phylinux@hku.hk-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevE.103.062131-
dc.identifier.scopuseid_2-s2.0-85108678899-
dc.identifier.hkuros323614-
dc.identifier.volume103-
dc.identifier.issue6-
dc.identifier.spagearticle no. 062131-
dc.identifier.epagearticle no. 062131-
dc.identifier.isiWOS:000664534100001-
dc.publisher.placeUnited States-

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