Consistent two-lifetime model for spectral functions of superconductors

Abstract

Recently it has been found that models with at least two lifetimes have to be considered when analyzing the angle resolved photoemission data in the nodal region of the cuprates [T. Kondo et al., Nat. Commun. 6, 7699 (2015)]. In this paper we compare two such models. First we show that the phenomenological model used by Kondo et al. violates the sum rule for the occupation number. Next we consider the recently proposed model of the so-called Dynes superconductors, wherein the two lifetimes measure the strengths of pair-conserving and pair-breaking processes. We demonstrate that the model of the Dynes superconductors is fully consistent with known exact results and we study in detail the resulting spectral functions. Finally, we show that the spectral functions in the nodal region of the cuprates can be fitted well by the model of the Dynes superconductors.

8 pages, 6 figures, send to PRB

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• Time-resolved ARPES on cuprates: Tracking the low-energy electrodynamics in the time domain
• Effects of the phase coherence on the local density of states in superconducting proximity structures
• Tunneling spectroscopy of c-axis epitaxial cuprate junctions
• Detailed Analysis of the Superconducting Gap with Dynes Pair-Breaking Scattering
• Model-independent determination of the gap function of nearly localized superconductors
• Advanced approach of superconducting gap function extraction from tunneling experiments
• Local Limit Disorder Characteristics of Superconducting Radio Frequency Cavities