Cooper pairing in non-Fermi liquids
States of matter with a sharp Fermi surface but no well-defined Landau quasiparticles arise in a number of physical systems. Examples include (i) quantum critical points associated with the onset of order in metals; (ii) spinon Fermi-surface [U(1) spin-liquid] state of a Mott insulator; (iii) Halper...
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/95873 https://orcid.org/0000-0003-4203-4148 |
| _version_ | 1826188716063850496 |
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| author | Metlitski, Max A. Mross, David Fabian Sachdev, Subir Todadri, Senthil |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Metlitski, Max A. Mross, David Fabian Sachdev, Subir Todadri, Senthil |
| author_sort | Metlitski, Max A. |
| collection | MIT |
| description | States of matter with a sharp Fermi surface but no well-defined Landau quasiparticles arise in a number of physical systems. Examples include (i) quantum critical points associated with the onset of order in metals; (ii) spinon Fermi-surface [U(1) spin-liquid] state of a Mott insulator; (iii) Halperin-Lee-Read composite fermion charge liquid state of a half-filled Landau level. In this work, we use renormalization group techniques to investigate possible instabilities of such non-Fermi liquids in two spatial dimensions to Cooper pairing. We consider the Ising-nematic quantum critical point as an example of an ordering phase transition in a metal, and demonstrate that the attractive interaction mediated by the order-parameter fluctuations always leads to a superconducting instability. Moreover, in the regime where our calculation is controlled, superconductivity preempts the destruction of electronic quasiparticles. On the other hand, the spinon Fermi surface and the Halperin-Lee-Read states are stable against Cooper pairing for a sufficiently weak attractive short-range interaction; however, once the strength of attraction exceeds a critical value, pairing sets in. We describe the ensuing quantum phase transition between (i) U(1) and Z[subscript 2] spin-liquid states; (ii) Halperin-Lee-Read and Moore-Read states. |
| first_indexed | 2024-09-23T08:03:37Z |
| format | Article |
| id | mit-1721.1/95873 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:03:37Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/958732022-09-30T07:12:47Z Cooper pairing in non-Fermi liquids Metlitski, Max A. Mross, David Fabian Sachdev, Subir Todadri, Senthil Massachusetts Institute of Technology. Department of Physics Todadri, Senthil States of matter with a sharp Fermi surface but no well-defined Landau quasiparticles arise in a number of physical systems. Examples include (i) quantum critical points associated with the onset of order in metals; (ii) spinon Fermi-surface [U(1) spin-liquid] state of a Mott insulator; (iii) Halperin-Lee-Read composite fermion charge liquid state of a half-filled Landau level. In this work, we use renormalization group techniques to investigate possible instabilities of such non-Fermi liquids in two spatial dimensions to Cooper pairing. We consider the Ising-nematic quantum critical point as an example of an ordering phase transition in a metal, and demonstrate that the attractive interaction mediated by the order-parameter fluctuations always leads to a superconducting instability. Moreover, in the regime where our calculation is controlled, superconductivity preempts the destruction of electronic quasiparticles. On the other hand, the spinon Fermi surface and the Halperin-Lee-Read states are stable against Cooper pairing for a sufficiently weak attractive short-range interaction; however, once the strength of attraction exceeds a critical value, pairing sets in. We describe the ensuing quantum phase transition between (i) U(1) and Z[subscript 2] spin-liquid states; (ii) Halperin-Lee-Read and Moore-Read states. National Science Foundation (U.S.) (Grant NSF PHY11-25915) National Science Foundation (U.S.) (Grant DMR-1360789) Templeton Foundation United States. Dept. of Energy (DESC-8739- ER46872) Simons Foundation (Simons Investigator Grant) Canada. Industry Canada Ontario. Ministry of Research and Innovation 2015-03-05T16:09:28Z 2015-03-05T16:09:28Z 2015-03 2015-01 2015-03-04T23:00:09Z Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/95873 Metlitski, Max A. et al. “Cooper Pairing in Non-Fermi Liquids.” Physical Review B 91.11 (2015). © 2015 American Physical Society. https://orcid.org/0000-0003-4203-4148 en http://dx.doi.org/10.1103/PhysRevB.91.115111 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 | Metlitski, Max A. Mross, David Fabian Sachdev, Subir Todadri, Senthil Cooper pairing in non-Fermi liquids |
| title | Cooper pairing in non-Fermi liquids |
| title_full | Cooper pairing in non-Fermi liquids |
| title_fullStr | Cooper pairing in non-Fermi liquids |
| title_full_unstemmed | Cooper pairing in non-Fermi liquids |
| title_short | Cooper pairing in non-Fermi liquids |
| title_sort | cooper pairing in non fermi liquids |
| url | http://hdl.handle.net/1721.1/95873 https://orcid.org/0000-0003-4203-4148 |
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