Typology for quantum Hall liquids
There is a close analogy between the response of a quantum Hall liquid (QHL) to a small change in the electron density and the response of a superconductor to an externally applied magnetic flux-an analogy which is made concrete in the Chern-Simons Landau-Ginzburg (CSLG) formulation of the problem....
| Main Authors: | , , , , , |
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| פורמט: | Journal article |
| שפה: | English |
| יצא לאור: |
2012
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| _version_ | 1826266248906801152 |
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| author | Parameswaran, SA Kivelson, SA Rezayi, E Simon, S Sondhi, S Spivak, B |
| author_facet | Parameswaran, SA Kivelson, SA Rezayi, E Simon, S Sondhi, S Spivak, B |
| author_sort | Parameswaran, SA |
| collection | OXFORD |
| description | There is a close analogy between the response of a quantum Hall liquid (QHL) to a small change in the electron density and the response of a superconductor to an externally applied magnetic flux-an analogy which is made concrete in the Chern-Simons Landau-Ginzburg (CSLG) formulation of the problem. As the types of superconductors are distinguished by this response, so too for QHLs: A typology can be introduced which is, however, richer than that in superconductors owing to the lack of any time-reversal symmetry relating positive and negative fluxes. At the boundary between type I and type II behavior, the CSLG action has a "Bogomol'nyi point," where the quasiholes (vortices) are noninteracting-at the microscopic level, this corresponds to the behavior of systems governed by a set of model Hamiltonians which have been constructed to render exact a large class of QHL wave functions. All types of QHLs are capable of giving rise to quantized Hall plateaux. © 2012 American Physical Society. |
| first_indexed | 2024-03-06T20:36:02Z |
| format | Journal article |
| id | oxford-uuid:32a68858-535d-4f06-92b1-a51bc8c19666 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:36:02Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:32a68858-535d-4f06-92b1-a51bc8c196662022-03-26T13:15:28ZTypology for quantum Hall liquidsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:32a68858-535d-4f06-92b1-a51bc8c19666EnglishSymplectic Elements at Oxford2012Parameswaran, SAKivelson, SARezayi, ESimon, SSondhi, SSpivak, BThere is a close analogy between the response of a quantum Hall liquid (QHL) to a small change in the electron density and the response of a superconductor to an externally applied magnetic flux-an analogy which is made concrete in the Chern-Simons Landau-Ginzburg (CSLG) formulation of the problem. As the types of superconductors are distinguished by this response, so too for QHLs: A typology can be introduced which is, however, richer than that in superconductors owing to the lack of any time-reversal symmetry relating positive and negative fluxes. At the boundary between type I and type II behavior, the CSLG action has a "Bogomol'nyi point," where the quasiholes (vortices) are noninteracting-at the microscopic level, this corresponds to the behavior of systems governed by a set of model Hamiltonians which have been constructed to render exact a large class of QHL wave functions. All types of QHLs are capable of giving rise to quantized Hall plateaux. © 2012 American Physical Society. |
| spellingShingle | Parameswaran, SA Kivelson, SA Rezayi, E Simon, S Sondhi, S Spivak, B Typology for quantum Hall liquids |
| title | Typology for quantum Hall liquids |
| title_full | Typology for quantum Hall liquids |
| title_fullStr | Typology for quantum Hall liquids |
| title_full_unstemmed | Typology for quantum Hall liquids |
| title_short | Typology for quantum Hall liquids |
| title_sort | typology for quantum hall liquids |
| work_keys_str_mv | AT parameswaransa typologyforquantumhallliquids AT kivelsonsa typologyforquantumhallliquids AT rezayie typologyforquantumhallliquids AT simons typologyforquantumhallliquids AT sondhis typologyforquantumhallliquids AT spivakb typologyforquantumhallliquids |