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Fate of the superconducting ground state on the Moyal plane

Authors
Journal
Physics Letters B
0370-2693
Publisher
Elsevier
Publication Date
Volume
690
Issue
4
Identifiers
DOI: 10.1016/j.physletb.2010.05.065
Keywords
  • Theory
Disciplines
  • Physics

Abstract

Abstract It is known that Berry curvature of the band structure of certain crystals can lead to effective noncommutativity between spatial coordinates. Using the techniques of twisted quantum field theory, we investigate the question of the formation of a paired state of twisted fermions in such a system. We find that to leading order in the noncommutativity parameter, the gap between the non-interacting ground state and the paired state is smaller compared to its commutative counterpart. This suggests that BCS type superconductivity, if present in such systems, is more fragile and easier to disrupt.

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