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Functional renormalization group for d-wave superconductivity in Hubbard type models

arXiv:cond-mat/0608667 · doi:10.1016/j.physleta.2007.03.028

Abstract

The temperature dependence of d-wave superconducting order for two dimensional fermions with d-wave attraction is investigated by means of the functional renormalization group with partial bosonization. Below the critical temperature T_c we find superconductivity, a gap in the electron propagator and a temperature dependent anomalous dimension. At T_c the renormalized "superfluid density" jumps and the approach to T_c from above is characterized by essential scaling. These features are characteristic for a phase transition of the Kosterlitz-Thouless (KT) type.

5 pages, 4 figures, references added, discussion improved