Superconductivity with Finite-Momentum Pairing in Zero Magnetic Field

Details Superconductivity with Finite-Momentum Pairing in Zero Magnetic Field Superconductivity with Finite-Momentum Pairing in Zero Magnetic Field

2009-07-24

arxiv.org/abs/0907.4345v1

Phys. Rev. B 81, 020511(R) (2010)

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1103/PhysRevB.81.020511

In the BCS theory of superconductivity, one assumes that all Cooper pairs have the same center of mass momentum. This is indeed enforced by self consistency, if the pairing interaction is momentum independent. Here, we show that for an attractive nearest neighbor interaction, this is different. In this case, stable solutions with pairs with momenta q and -q coexist and, for a sufficiently strong interaction, one of these states becomes the groundstate of the superconductor. This finite-momentum pairing state is accompanied by a charge order with wave vector 2q. For a weak pairing interaction, the groundstate is a d-wave superconductor.

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