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Article: Topological quantum field theory for Abelian topological phases and loop braiding statistics in (3+1)-dimensions

TitleTopological quantum field theory for Abelian topological phases and loop braiding statistics in (3+1)-dimensions
Authors
Issue Date2019
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/
Citation
Physical Review B: covering condensed matter and materials physics, 2019, v. 99 n. 23, article no. 235137 How to Cite?
AbstractTopological quantum field theory (TQFT) is a very powerful theoretical tool to study topological phases and phase transitions. In 2+1d, it is well known that the Chern-Simons theory captures all the universal topological data of topological phases, e.g., quasiparticle braiding statistics, chiral central charge, and even provides us a deep insight for the nature of topological phase transitions. Recently, topological phases of quantum matter are also intensively studied in 3+1d and it has been shown that looplike excitation obeys the so-called three-loop-braiding statistics. In this paper, we will try to establish a TQFT framework to understand the quantum statistics of particle and looplike excitation in 3+1d. We will focus on Abelian topological phases for simplicity, however, the general framework developed here is not limited to Abelian topological phases.
Persistent Identifierhttp://hdl.handle.net/10722/272303
ISSN
2017 Impact Factor: 3.813
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWang, QR-
dc.contributor.authorCheng, M-
dc.contributor.authorWang, C-
dc.contributor.authorGu, ZC-
dc.date.accessioned2019-07-20T10:39:37Z-
dc.date.available2019-07-20T10:39:37Z-
dc.date.issued2019-
dc.identifier.citationPhysical Review B: covering condensed matter and materials physics, 2019, v. 99 n. 23, article no. 235137-
dc.identifier.issn2469-9950-
dc.identifier.urihttp://hdl.handle.net/10722/272303-
dc.description.abstractTopological quantum field theory (TQFT) is a very powerful theoretical tool to study topological phases and phase transitions. In 2+1d, it is well known that the Chern-Simons theory captures all the universal topological data of topological phases, e.g., quasiparticle braiding statistics, chiral central charge, and even provides us a deep insight for the nature of topological phase transitions. Recently, topological phases of quantum matter are also intensively studied in 3+1d and it has been shown that looplike excitation obeys the so-called three-loop-braiding statistics. In this paper, we will try to establish a TQFT framework to understand the quantum statistics of particle and looplike excitation in 3+1d. We will focus on Abelian topological phases for simplicity, however, the general framework developed here is not limited to Abelian topological phases.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/-
dc.relation.ispartofPhysical Review B: covering condensed matter and materials physics-
dc.rightsCopyright 2019 by The American Physical Society. This article is available online at https://doi.org/10.1103/PhysRevB.99.235137.-
dc.titleTopological quantum field theory for Abelian topological phases and loop braiding statistics in (3+1)-dimensions-
dc.typeArticle-
dc.identifier.emailWang, C: cjwang@hku.hk-
dc.identifier.authorityWang, C=rp02502-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.99.235137-
dc.identifier.scopuseid_2-s2.0-85068589668-
dc.identifier.hkuros298580-
dc.identifier.volume99-
dc.identifier.issue23-
dc.identifier.spagearticle no. 235137-
dc.identifier.epagearticle no. 235137-
dc.identifier.isiWOS:000471983600001-
dc.publisher.placeUnited States-

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