Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking
Recently, in certain flat band lattice systems at commensurate fillings, fractional quantum Hall states have been found, which have anyonic excitations. We study such systems away from commensuration, i.e., the ground state of an anyon gas in such a system. The presence of the underlying lattice all...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88909 https://orcid.org/0000-0002-9366-7925 https://orcid.org/0000-0002-5874-581X |
| _version_ | 1826194971021017088 |
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| author | Wen, Xiao-Gang Tang, Evelyn May Yin |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Wen, Xiao-Gang Tang, Evelyn May Yin |
| author_sort | Wen, Xiao-Gang |
| collection | MIT |
| description | Recently, in certain flat band lattice systems at commensurate fillings, fractional quantum Hall states have been found, which have anyonic excitations. We study such systems away from commensuration, i.e., the ground state of an anyon gas in such a system. The presence of the underlying lattice allows access to an entirely new regime where the anyon kinetic energy can be larger than their interaction energy. Within the flux-attachment approach, using a mean field and then adding fluctuations, we find several possible superfluid states. Two have intrinsic topological order: fractionalized quasiparticles with a fusion structure of (Z[subscript 2])[superscript 4] and (Z[subscript 8])[superscript 2], respectively, and a third has no fractionalized excitations similar to a BCS-type state. This represents a mechanism for superconductivity driven purely by strong repulsion and complex hopping of electrons. |
| first_indexed | 2024-09-23T10:04:43Z |
| format | Article |
| id | mit-1721.1/88909 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:04:43Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/889092022-09-30T18:46:04Z Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking Wen, Xiao-Gang Tang, Evelyn May Yin Massachusetts Institute of Technology. Department of Physics Tang, Evelyn May Yin Wen, Xiao-Gang Recently, in certain flat band lattice systems at commensurate fillings, fractional quantum Hall states have been found, which have anyonic excitations. We study such systems away from commensuration, i.e., the ground state of an anyon gas in such a system. The presence of the underlying lattice allows access to an entirely new regime where the anyon kinetic energy can be larger than their interaction energy. Within the flux-attachment approach, using a mean field and then adding fluctuations, we find several possible superfluid states. Two have intrinsic topological order: fractionalized quasiparticles with a fusion structure of (Z[subscript 2])[superscript 4] and (Z[subscript 8])[superscript 2], respectively, and a third has no fractionalized excitations similar to a BCS-type state. This represents a mechanism for superconductivity driven purely by strong repulsion and complex hopping of electrons. National Science Foundation (U.S.) (Grant DMR-1005541) 2014-08-19T17:43:32Z 2014-08-19T17:43:32Z 2013-11 2013-08 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/88909 Tang, Evelyn, and Xiao-Gang Wen. “Superconductivity with Intrinsic Topological Order Induced by Pure Coulomb Interaction and Time-Reversal Symmetry Breaking.” Phys. Rev. B 88, no. 19 (November 2013). © 2013 American Physical Society https://orcid.org/0000-0002-9366-7925 https://orcid.org/0000-0002-5874-581X en_US http://dx.doi.org/10.1103/PhysRevB.88.195117 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 American Physical Society |
| spellingShingle | Wen, Xiao-Gang Tang, Evelyn May Yin Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking |
| title | Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking |
| title_full | Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking |
| title_fullStr | Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking |
| title_full_unstemmed | Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking |
| title_short | Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking |
| title_sort | superconductivity with intrinsic topological order induced by pure coulomb interaction and time reversal symmetry breaking |
| url | http://hdl.handle.net/1721.1/88909 https://orcid.org/0000-0002-9366-7925 https://orcid.org/0000-0002-5874-581X |
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