Self-energy of a nodal fermion in a d-wave superconductor

Details Self-energy of a nodal fermion in a d-wave superconductor Self-energy of a nodal fermion in a d-wave superconductor

2005-11-29

arxiv.org/abs/cond-mat/0511708v1

Physics

Condensed Matter

Strongly Correlated Electrons

4pp 3 eps figures

Scientific paper

10.1103/PhysRevB.73.220503

We re-consider the self-energy of a nodal (Dirac) fermion in a 2D d-wave superconductor. A conventional belief is that Im \Sigma (\omega, T) \sim max (\omega^3, T^3). We show that \Sigma (\omega, k, T) for k along the nodal direction is actually a complex function of \omega, T, and the deviation from the mass shell. In particular, the second-order self-energy diverges at a finite T when either \omega or k-k_F vanish. We show that the full summation of infinite diagrammatic series recovers a finite result for \Sigma, but the full ARPES spectral function is non-monotonic and has a kink whose location compared to the mass shell differs qualitatively for spin-and charge-mediated interactions.

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