Superconducting transitions from the pseudogap state: d-wave symmetry, lattice, and low-dimensional effects

TL;DR

This paper explores how the superconducting transition temperature is affected by pseudogap phenomena, lattice structures, and low-dimensional effects within a BCS-Bose Einstein crossover framework, with implications for cuprate superconductors.

Contribution

It extends previous models to include d-wave pairing, lattice effects, and reduced dimensionality, providing a more comprehensive understanding of T_c in high-temperature superconductors.

Findings

Reduced dimensionality lowers T_c.

Lattice effects modify the pseudogap influence.

D-wave pairing alters the superconducting transition behavior.

Abstract

We investigate the behavior of the superconducting transition temperature within a previously developed BCS-Bose Einstein crossover picture. This picture, based on a decoupling scheme of Kadanoff and Martin, further extended by Patton, can be used to derive a simple form for the superconducting transition temperature in the presence of a pseudogap. We extend previous work which addressed the case of s-wave pairing in jellium, to explore the solutions for T_c as a function of variable coupling in more physically relevant situations. We thereby ascertain the effects of reduced dimensionality, periodic lattices and a d-wave pairing interaction. Implications for the cuprate superconductors are discussed.