Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point
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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.
Date issued
2009-01Department
Massachusetts Institute of Technology. Department of PhysicsJournal
Physical Review Letters
Publisher
American Physical Society
Citation
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.
Version: Final published version
ISSN
0031-9007