We study the spectral function of a two-dimensional superconductor in a regime of strong phase fluctuations. Although the developed approach is valid for any symmetry, we concentrate on $d$-wave superconductors. We obtain analytical expressions for the single electron Green’s function below the transition temperature and have worked out a way to extrapolate it for a finite temperatures above $T_c$. The suggested approach is easily generalizable for other models with critical fluctuations.

• Received 2 February 2010

DOI:https://doi.org/10.1103/PhysRevB.81.094514