Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point
The energy of a d-dimensional Fermi system typically varies only along d[subscript c]=1 (“radial”) dimensions. We consider d[subscript c]=1+ε and study a transition to superconductivity in an ε expansion. The nontrivial fixed point describes a scale invariant theory with an effective space-time dime...
| 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/1721.1/51066 https://orcid.org/0000-0003-4203-4148 |
| _version_ | 1811094859437572096 |
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| author | Shankar, R. Senthil, Todadri |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Shankar, R. Senthil, Todadri |
| author_sort | Shankar, R. |
| collection | MIT |
| description | The energy of a d-dimensional Fermi system typically varies only along d[subscript c]=1 (“radial”) dimensions. We consider d[subscript c]=1+ε and study a transition to superconductivity in an ε expansion. The nontrivial fixed point describes a scale invariant theory with an effective space-time dimension D=d[subscript c]+1. Remarkably, the results can be reproduced by the Hertz-Millis action for the superconducting order parameter in higher effective space-time dimensions. We consider possible realizations of the transition at ε=1, which corresponds to a linear Fermi surface in d=3. |
| first_indexed | 2024-09-23T16:06:38Z |
| format | Article |
| id | mit-1721.1/51066 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:06:38Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/510662022-09-29T18:14:51Z Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point Shankar, R. Senthil, Todadri Massachusetts Institute of Technology. Department of Physics Senthil, Todadri Senthil, Todadri The energy of a d-dimensional Fermi system typically varies only along d[subscript c]=1 (“radial”) dimensions. We consider d[subscript c]=1+ε and study a transition to superconductivity in an ε expansion. The nontrivial fixed point describes a scale invariant theory with an effective space-time dimension D=d[subscript c]+1. Remarkably, the results can be reproduced by the Hertz-Millis action for the superconducting order parameter in higher effective space-time dimensions. We consider possible realizations of the transition at ε=1, which corresponds to a linear Fermi surface in d=3. National Science Foundation 2010-01-29T20:28:38Z 2010-01-29T20:28:38Z 2009-01 2008-08 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/51066 Senthil, T. , and R. Shankar. “Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point.” Physical Review Letters 102.4 (2009): 046406. (C) 2010 The American Physical Society. https://orcid.org/0000-0003-4203-4148 en_US http://dx.doi.org/10.1103/PhysRevLett.102.046406 Physical Review Letters 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 | Shankar, R. Senthil, Todadri Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point |
| title | Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point |
| title_full | Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point |
| title_fullStr | Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point |
| title_full_unstemmed | Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point |
| title_short | Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point |
| title_sort | fermi surfaces in general codimension and a new controlled nontrivial fixed point |
| url | http://hdl.handle.net/1721.1/51066 https://orcid.org/0000-0003-4203-4148 |
| work_keys_str_mv | AT shankarr fermisurfacesingeneralcodimensionandanewcontrollednontrivialfixedpoint AT senthiltodadri fermisurfacesingeneralcodimensionandanewcontrollednontrivialfixedpoint |