Derivation of d-wave symmetry in real-space superconductors

TL;DR

This paper presents a straightforward derivation of the d-wave symmetry in real-space superconductors, emphasizing the roles of short-range attraction and hole-like hopping in the pairing mechanism.

Contribution

It introduces a novel derivation of d-wave symmetry based on real-space pairing and Bose-Einstein condensation, highlighting key physical ingredients.

Findings

Derivation of d-wave order parameter from real-space pairing.

Identification of short-range attraction and hole-like hopping as essential.

Clarification of the symmetry origin in real-space superconductors.

Abstract

A simple derivation of $d$-wave order parameter within the real-space pairing and Bose-Einstein condensation mechanism of superconductivity is given. The two key ingredients are a short-range attraction between carriers and hole-like hopping between equal-energy pair configurations.