Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids
We synthesize and partly review recent developments relating the physics of the half-filled Landau level in two dimensions to correlated surface states of topological insulators in three dimensions. The latter are in turn related to the physics of certain three-dimensional quantum spin liquid states...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2016
|
| Online Access: | http://hdl.handle.net/1721.1/101122 https://orcid.org/0000-0003-4203-4148 https://orcid.org/0000-0001-7004-9609 |
| _version_ | 1826194209149812736 |
|---|---|
| author | Wang, Chong Todadri, Senthil |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Wang, Chong Todadri, Senthil |
| author_sort | Wang, Chong |
| collection | MIT |
| description | We synthesize and partly review recent developments relating the physics of the half-filled Landau level in two dimensions to correlated surface states of topological insulators in three dimensions. The latter are in turn related to the physics of certain three-dimensional quantum spin liquid states. The resulting insights provide an interesting answer to the old question of how particle-hole symmetry is realized in composite fermion liquids. Specifically the metallic state at filling ν = 1/2—described originally in pioneering work by Halperin, Lee, and Read as a liquid of composite fermions—was proposed recently by Son to be described by a particle-hole symmetric effective field theory distinct from that in the prior literature. We show how the relation to topological insulator surface states leads to a physical understanding of the correctness of this proposal. We develop a simple picture of the particle-hole symmetric composite fermion through a modification of older pictures as electrically neutral “dipolar” particles. We revisit the phenomenology of composite fermi liquids (with or without particle-hole symmetry), and show that their heat/electrical transport dramatically violates the conventional Wiedemann-Franz law but satisfies a modified one. We also discuss the implications of these insights for finding physical realizations of correlated topological insulator surfaces. |
| first_indexed | 2024-09-23T09:52:36Z |
| format | Article |
| id | mit-1721.1/101122 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:52:36Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1011222022-09-30T17:25:22Z Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids Wang, Chong Todadri, Senthil Massachusetts Institute of Technology. Department of Physics Wang, Chong Todadri, Senthil We synthesize and partly review recent developments relating the physics of the half-filled Landau level in two dimensions to correlated surface states of topological insulators in three dimensions. The latter are in turn related to the physics of certain three-dimensional quantum spin liquid states. The resulting insights provide an interesting answer to the old question of how particle-hole symmetry is realized in composite fermion liquids. Specifically the metallic state at filling ν = 1/2—described originally in pioneering work by Halperin, Lee, and Read as a liquid of composite fermions—was proposed recently by Son to be described by a particle-hole symmetric effective field theory distinct from that in the prior literature. We show how the relation to topological insulator surface states leads to a physical understanding of the correctness of this proposal. We develop a simple picture of the particle-hole symmetric composite fermion through a modification of older pictures as electrically neutral “dipolar” particles. We revisit the phenomenology of composite fermi liquids (with or without particle-hole symmetry), and show that their heat/electrical transport dramatically violates the conventional Wiedemann-Franz law but satisfies a modified one. We also discuss the implications of these insights for finding physical realizations of correlated topological insulator surfaces. National Science Foundation (U.S.) (DMR-1305741) Simons Foundation (Investigator Grant) 2016-02-09T13:40:08Z 2016-02-09T13:40:08Z 2016-02 2016-01 2016-02-05T23:00:21Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/101122 Wang, Chong, and T. Senthil. “Half-Filled Landau Level, Topological Insulator Surfaces, and Three-Dimensional Quantum Spin Liquids.” Physical Review B 93, no. 8 (February 5, 2016). © 2016 American Physical Society https://orcid.org/0000-0003-4203-4148 https://orcid.org/0000-0001-7004-9609 en http://dx.doi.org/10.1103/PhysRevB.93.085110 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 | Wang, Chong Todadri, Senthil Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids |
| title | Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids |
| title_full | Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids |
| title_fullStr | Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids |
| title_full_unstemmed | Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids |
| title_short | Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids |
| title_sort | half filled landau level topological insulator surfaces and three dimensional quantum spin liquids |
| url | http://hdl.handle.net/1721.1/101122 https://orcid.org/0000-0003-4203-4148 https://orcid.org/0000-0001-7004-9609 |
| work_keys_str_mv | AT wangchong halffilledlandauleveltopologicalinsulatorsurfacesandthreedimensionalquantumspinliquids AT todadrisenthil halffilledlandauleveltopologicalinsulatorsurfacesandthreedimensionalquantumspinliquids |