Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point
A quantum dot coupled to two helical edge states of a two-dimensional topological insulator through electron tunnelings is studied. We show that if the electron interactions on the edge states are repulsive, with Luttinger liquid parameter K<1, the system reaches a stable two-channel Kondo fixe...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/56577 https://orcid.org/0000-0001-7809-8157 |
| _version_ | 1811094160944398336 |
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| author | Law, Kam Tuen Lee, Patrick A. Seng, C. Y. Ng, Tai-Kai |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Law, Kam Tuen Lee, Patrick A. Seng, C. Y. Ng, Tai-Kai |
| author_sort | Law, Kam Tuen |
| collection | MIT |
| description | A quantum dot coupled to two helical edge states of a two-dimensional topological insulator through
electron tunnelings is studied. We show that if the electron interactions on the edge states are repulsive, with
Luttinger liquid parameter K<1, the system reaches a stable two-channel Kondo fixed point at low temperatures.
This is in contrast to the Luttinger liquid leads case in which K<1/2 is needed. This two-channel fixed
point is described by a boundary sine-Gordon Hamiltonian with a K dependent boundary term. The impurity
entropy, the impurity specific heat and the conductance are calculated. |
| first_indexed | 2024-09-23T15:55:52Z |
| format | Article |
| id | mit-1721.1/56577 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:55:52Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/565772024-06-26T18:56:06Z Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point Law, Kam Tuen Lee, Patrick A. Seng, C. Y. Ng, Tai-Kai Massachusetts Institute of Technology. Department of Physics Lee, Patrick A. Law, Kam Tuen Lee, Patrick A. A quantum dot coupled to two helical edge states of a two-dimensional topological insulator through electron tunnelings is studied. We show that if the electron interactions on the edge states are repulsive, with Luttinger liquid parameter K<1, the system reaches a stable two-channel Kondo fixed point at low temperatures. This is in contrast to the Luttinger liquid leads case in which K<1/2 is needed. This two-channel fixed point is described by a boundary sine-Gordon Hamiltonian with a K dependent boundary term. The impurity entropy, the impurity specific heat and the conductance are calculated. 2010-07-15T18:03:16Z 2010-07-15T18:03:16Z 2010-01 2009-12 Article http://purl.org/eprint/type/JournalArticle 1098-0121 http://hdl.handle.net/1721.1/56577 Law, K. T. et al. “Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point.” Physical Review B 81.4 (2010): 041305. © 2010 American Physical Society. https://orcid.org/0000-0001-7809-8157 en_US http://dx.doi.org/10.1103/PhysRevB.81.041305 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 APS |
| spellingShingle | Law, Kam Tuen Lee, Patrick A. Seng, C. Y. Ng, Tai-Kai Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point |
| title | Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point |
| title_full | Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point |
| title_fullStr | Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point |
| title_full_unstemmed | Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point |
| title_short | Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point |
| title_sort | quantum dot in a two dimensional topological insulator the two channel kondo fixed point |
| url | http://hdl.handle.net/1721.1/56577 https://orcid.org/0000-0001-7809-8157 |
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