Phase transitions in ZN gauge theory and twisted ZN topological phases
We find a series of non-Abelian topological phases that are separated from the deconfined phase of Z[subscript N] gauge theory by a continuous quantum phase transition. These non-Abelian states, which we refer to as the “twisted” Z[subscript N] states, are described by a recently studied U(1)×U(1)⋊Z...
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| Materiálatiipa: | Artihkal |
| Giella: | en_US |
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American Physical Society
2012
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| Liŋkkat: | http://hdl.handle.net/1721.1/73864 https://orcid.org/0000-0002-5874-581X |
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| author | Barkeshli, Maissam Wen, Xiao-Gang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Barkeshli, Maissam Wen, Xiao-Gang |
| author_sort | Barkeshli, Maissam |
| collection | MIT |
| description | We find a series of non-Abelian topological phases that are separated from the deconfined phase of Z[subscript N] gauge theory by a continuous quantum phase transition. These non-Abelian states, which we refer to as the “twisted” Z[subscript N] states, are described by a recently studied U(1)×U(1)⋊Z[subscript 2] Chern-Simons (CS) field theory. The U(1)×U(1)⋊Z[subscript 2] CS theory provides a way of gauging the global Z[subscript 2] electric-magnetic symmetry of the Abelian Z[subscript N] phases, yielding the twisted Z[subscript N] states. We introduce a parton construction to describe the Abelian Z[subscript N] phases in terms of integer quantum Hall states, which then allows us to obtain the non-Abelian states from a theory of Z[subscript 2] fractionalization. The non-Abelian twisted Z[subscript N] states do not have topologically protected gapless edge modes and, for N>2, break time-reversal symmetry. |
| first_indexed | 2024-09-23T13:47:15Z |
| format | Article |
| id | mit-1721.1/73864 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:47:15Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/738642022-09-28T16:10:45Z Phase transitions in ZN gauge theory and twisted ZN topological phases Barkeshli, Maissam Wen, Xiao-Gang Massachusetts Institute of Technology. Department of Physics Wen, Xiao-Gang We find a series of non-Abelian topological phases that are separated from the deconfined phase of Z[subscript N] gauge theory by a continuous quantum phase transition. These non-Abelian states, which we refer to as the “twisted” Z[subscript N] states, are described by a recently studied U(1)×U(1)⋊Z[subscript 2] Chern-Simons (CS) field theory. The U(1)×U(1)⋊Z[subscript 2] CS theory provides a way of gauging the global Z[subscript 2] electric-magnetic symmetry of the Abelian Z[subscript N] phases, yielding the twisted Z[subscript N] states. We introduce a parton construction to describe the Abelian Z[subscript N] phases in terms of integer quantum Hall states, which then allows us to obtain the non-Abelian states from a theory of Z[subscript 2] fractionalization. The non-Abelian twisted Z[subscript N] states do not have topologically protected gapless edge modes and, for N>2, break time-reversal symmetry. National Science Foundation (U.S.) (Grant No. DMR-1005541) 2012-10-10T18:49:29Z 2012-10-10T18:49:29Z 2012-08 2011-01 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/73864 Barkeshli, Maissam, and Xiao-Gang Wen. “Phase Transitions in Z_{N} Gauge Theory and Twisted Z_{N} Topological Phases.” Physical Review B 86.8 (2012). ©2012 American Physical Society https://orcid.org/0000-0002-5874-581X en_US http://dx.doi.org/10.1103/PhysRevB.86.085114 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Barkeshli, Maissam Wen, Xiao-Gang Phase transitions in ZN gauge theory and twisted ZN topological phases |
| title | Phase transitions in ZN gauge theory and twisted ZN topological phases |
| title_full | Phase transitions in ZN gauge theory and twisted ZN topological phases |
| title_fullStr | Phase transitions in ZN gauge theory and twisted ZN topological phases |
| title_full_unstemmed | Phase transitions in ZN gauge theory and twisted ZN topological phases |
| title_short | Phase transitions in ZN gauge theory and twisted ZN topological phases |
| title_sort | phase transitions in zn gauge theory and twisted zn topological phases |
| url | http://hdl.handle.net/1721.1/73864 https://orcid.org/0000-0002-5874-581X |
| work_keys_str_mv | AT barkeshlimaissam phasetransitionsinzngaugetheoryandtwistedzntopologicalphases AT wenxiaogang phasetransitionsinzngaugetheoryandtwistedzntopologicalphases |