Two-dimensional spin liquids with Z[subscript 2] topological order in an array of quantum wires
Insulating Z[subscript 2] spin liquids are a phase of matter with bulk anyonic quasiparticle excitations and ground-state degeneracies on manifolds with nontrivial topology. We construct a time-reversal symmetric Z[subscript 2] spin liquid in two spatial dimensions using an array of quantum wires. W...
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| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/106831 |
| _version_ | 1826202631402422272 |
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| author | Patel, Aavishkar A. Chowdhury, Debanjan |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Patel, Aavishkar A. Chowdhury, Debanjan |
| author_sort | Patel, Aavishkar A. |
| collection | MIT |
| description | Insulating Z[subscript 2] spin liquids are a phase of matter with bulk anyonic quasiparticle excitations and ground-state degeneracies on manifolds with nontrivial topology. We construct a time-reversal symmetric Z[subscript 2] spin liquid in two spatial dimensions using an array of quantum wires. We identify the anyons as kinks in the appropriate Luttinger-liquid description, compute their mutual statistics, and construct local operators that transport these quasiparticles. We also present a construction of a fractionalized Fermi liquid (FL*) by coupling the spin sector of the Z[subscript 2] spin liquid to a Fermi liquid via a Kondo-like coupling. |
| first_indexed | 2024-09-23T12:12:04Z |
| format | Article |
| id | mit-1721.1/106831 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:12:04Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1068312022-10-01T08:41:24Z Two-dimensional spin liquids with Z[subscript 2] topological order in an array of quantum wires Two-dimensional spin liquids with Z2 topological order in an array of quantum wires Patel, Aavishkar A. Chowdhury, Debanjan Massachusetts Institute of Technology. Department of Physics Chowdhury, Debanjan Insulating Z[subscript 2] spin liquids are a phase of matter with bulk anyonic quasiparticle excitations and ground-state degeneracies on manifolds with nontrivial topology. We construct a time-reversal symmetric Z[subscript 2] spin liquid in two spatial dimensions using an array of quantum wires. We identify the anyons as kinks in the appropriate Luttinger-liquid description, compute their mutual statistics, and construct local operators that transport these quasiparticles. We also present a construction of a fractionalized Fermi liquid (FL*) by coupling the spin sector of the Z[subscript 2] spin liquid to a Fermi liquid via a Kondo-like coupling. Gordon and Betty Moore Foundation (Postdoctoral Fellowship Grant GBMF-4303) National Science Foundation (U.S.) (Grant DMR-13001648) 2017-02-02T19:25:11Z 2017-02-02T19:25:11Z 2016-11 2016-08 2016-11-16T23:00:04Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/106831 Patel, Aavishkar A., and Debanjan Chowdhury. “Two-Dimensional Spin Liquids with Z[subscript 2] Topological Order in an Array of Quantum Wires.” Physical Review B 94.19 (2016): n. pag. © 2016 American Physical Society en http://dx.doi.org/10.1103/PhysRevB.94.195130 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Patel, Aavishkar A. Chowdhury, Debanjan Two-dimensional spin liquids with Z[subscript 2] topological order in an array of quantum wires |
| title | Two-dimensional spin liquids with Z[subscript 2] topological order in an array of quantum wires |
| title_full | Two-dimensional spin liquids with Z[subscript 2] topological order in an array of quantum wires |
| title_fullStr | Two-dimensional spin liquids with Z[subscript 2] topological order in an array of quantum wires |
| title_full_unstemmed | Two-dimensional spin liquids with Z[subscript 2] topological order in an array of quantum wires |
| title_short | Two-dimensional spin liquids with Z[subscript 2] topological order in an array of quantum wires |
| title_sort | two dimensional spin liquids with z subscript 2 topological order in an array of quantum wires |
| url | http://hdl.handle.net/1721.1/106831 |
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