Evolution of the pairing pseudogap in the spectral function with interplane anisotropy

TL;DR

This paper investigates how the pairing pseudogap in the spectral function varies with interplane coupling, revealing dimensional crossover effects and explaining experimental observations in high-temperature superconductors.

Contribution

It provides analytical expressions for the self-energy in the critical regime for any anisotropy degree, elucidating the frequency dependence difference between 2D and 3D.

Findings

Frequency dependence of self-energy differs in 2D and 3D.

Crossover from 2D to 3D behavior affects pseudogap properties.

Qualitative explanation of Fermi arc phenomena in experiments.

Abstract

We study the pairing pseudogap in the spectral function as a function of interplane coupling. The analytical expressions for the self-energy in the critical regime are obtained for any degree of anisotropy. The frequency dependence of the self-energy is found to be qualitatively different in two and three dimensions, and the crossover from two to three dimensional behavior is discussed. In particular, by considering the anisotropy of the Fermi velocity and gap along the Fermi surface, we can qualitatively explain recent photoemission experiments on high temperature superconductors concerning the temperature dependent Fermi arcs seen in the pseudogap phase.