Microscopic model for the boson integer quantum Hall effect
In two dimensions strongly interacting bosons in a magnetic field can form an integer quantum Hall state. This state has a bulk gap, no fractional charges or topological order in the bulk, but nevertheless quantized Hall transport and symmetry-protected edge excitations. Here we study a simple micro...
| Main Authors: | , |
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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/1721.1/88772 https://orcid.org/0000-0003-4203-4148 |
| _version_ | 1811090398770102272 |
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| author | Regnault, N. Todadri, Senthil |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Regnault, N. Todadri, Senthil |
| author_sort | Regnault, N. |
| collection | MIT |
| description | In two dimensions strongly interacting bosons in a magnetic field can form an integer quantum Hall state. This state has a bulk gap, no fractional charges or topological order in the bulk, but nevertheless quantized Hall transport and symmetry-protected edge excitations. Here we study a simple microscopic model for such a state in a system of two-component bosons in a strong orbital magnetic field. We show through exact-diagonalization calculations that the model supports the boson integer quantum Hall ground state in a range of parameters. |
| first_indexed | 2024-09-23T14:44:59Z |
| format | Article |
| id | mit-1721.1/88772 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:44:59Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/887722022-09-29T10:19:09Z Microscopic model for the boson integer quantum Hall effect Regnault, N. Todadri, Senthil Massachusetts Institute of Technology. Department of Physics Todadri, Senthil In two dimensions strongly interacting bosons in a magnetic field can form an integer quantum Hall state. This state has a bulk gap, no fractional charges or topological order in the bulk, but nevertheless quantized Hall transport and symmetry-protected edge excitations. Here we study a simple microscopic model for such a state in a system of two-component bosons in a strong orbital magnetic field. We show through exact-diagonalization calculations that the model supports the boson integer quantum Hall ground state in a range of parameters. National Science Foundation (U.S.) (DMR-1005434) Simons Foundation (Award 229736) National Science Foundation (U.S.) (Grant PHYS-1066293) 2014-08-18T17:45:49Z 2014-08-18T17:45:49Z 2013-10 2013-05 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/88772 Regnault, N., and T. Senthil. “Microscopic Model for the Boson Integer Quantum Hall Effect.” Phys. Rev. B 88, no. 16 (October 2013). © 2013 American Physical Society https://orcid.org/0000-0003-4203-4148 en_US http://dx.doi.org/10.1103/PhysRevB.88.161106 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 | Regnault, N. Todadri, Senthil Microscopic model for the boson integer quantum Hall effect |
| title | Microscopic model for the boson integer quantum Hall effect |
| title_full | Microscopic model for the boson integer quantum Hall effect |
| title_fullStr | Microscopic model for the boson integer quantum Hall effect |
| title_full_unstemmed | Microscopic model for the boson integer quantum Hall effect |
| title_short | Microscopic model for the boson integer quantum Hall effect |
| title_sort | microscopic model for the boson integer quantum hall effect |
| url | http://hdl.handle.net/1721.1/88772 https://orcid.org/0000-0003-4203-4148 |
| work_keys_str_mv | AT regnaultn microscopicmodelforthebosonintegerquantumhalleffect AT todadrisenthil microscopicmodelforthebosonintegerquantumhalleffect |