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Article: Fermion condensation and gapped domain walls in topological orders
Title | Fermion condensation and gapped domain walls in topological orders |
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Authors | |
Keywords | Topological States of Matter Anyons Topological Field Theories |
Issue Date | 2017 |
Citation | Journal of High Energy Physics, 2017, v. 2017, n. 3, article no. 172 How to Cite? |
Abstract | © 2017, The Author(s). We study fermion condensation in bosonic topological orders in two spatial dimensions. Fermion condensation may be realized as gapped domain walls between bosonic and fermionic topological orders, which may be thought of as real-space phase transitions from bosonic to fermionic topological orders. This picture generalizes the previous idea of understanding boson condensation as gapped domain walls between bosonic topological orders. While simple-current fermion condensation was considered before, we systematically study general fermion condensation and show that it obeys a Hierarchy Principle: a general fermion condensation can always be decomposed into a boson condensation followed by a minimal fermion condensation. The latter involves only a single self-fermion that is its own anti-particle and that has unit quantum dimension. We develop the rules of minimal fermion condensation, which together with the known rules of boson condensation, provides a full set of rules for general fermion condensation. |
Persistent Identifier | http://hdl.handle.net/10722/266786 |
ISSN | 2012 Impact Factor: 5.618 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wan, Yidun | - |
dc.contributor.author | Wang, Chenjie | - |
dc.date.accessioned | 2019-01-31T07:19:35Z | - |
dc.date.available | 2019-01-31T07:19:35Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Journal of High Energy Physics, 2017, v. 2017, n. 3, article no. 172 | - |
dc.identifier.issn | 1126-6708 | - |
dc.identifier.uri | http://hdl.handle.net/10722/266786 | - |
dc.description.abstract | © 2017, The Author(s). We study fermion condensation in bosonic topological orders in two spatial dimensions. Fermion condensation may be realized as gapped domain walls between bosonic and fermionic topological orders, which may be thought of as real-space phase transitions from bosonic to fermionic topological orders. This picture generalizes the previous idea of understanding boson condensation as gapped domain walls between bosonic topological orders. While simple-current fermion condensation was considered before, we systematically study general fermion condensation and show that it obeys a Hierarchy Principle: a general fermion condensation can always be decomposed into a boson condensation followed by a minimal fermion condensation. The latter involves only a single self-fermion that is its own anti-particle and that has unit quantum dimension. We develop the rules of minimal fermion condensation, which together with the known rules of boson condensation, provides a full set of rules for general fermion condensation. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of High Energy Physics | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Topological States of Matter | - |
dc.subject | Anyons | - |
dc.subject | Topological Field Theories | - |
dc.title | Fermion condensation and gapped domain walls in topological orders | - |
dc.type | Article | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1007/JHEP03(2017)172 | - |
dc.identifier.scopus | eid_2-s2.0-85016976039 | - |
dc.identifier.volume | 2017 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | article no. 172 | - |
dc.identifier.epage | article no. 172 | - |
dc.identifier.eissn | 1029-8479 | - |
dc.identifier.isi | WOS:000397972600004 | - |
dc.identifier.issnl | 1029-8479 | - |