Finite Range Model Interaction Potential for d-wave Superconductors: Tc vs. Doping in the Cuprates

TL;DR

This paper presents a BCS-like model with a delta-shell potential to describe unconventional superconductivity, successfully replicating the doping-dependent critical temperature behavior observed in high-temperature cuprate superconductors.

Contribution

It introduces a novel finite-range interaction potential model that captures the Tc versus doping relationship in cuprates, advancing theoretical understanding of high-Tc superconductivity.

Findings

Model predicts Tc vs. doping behavior similar to cuprates

Delta-shell potential effectively describes electron-electron attraction

Provides a simple framework for unconventional superconductivity

Abstract

We study a simple BCS-like model which describes unconventional superconductivity on the basis of an electron-electron attraction corresponding to the delta-shell potential: $U(r) = -g \delta(r-r_0)$. It predicts a $T_c$ vs. doping behavior similar to that characteristic of the High-$T_c$ cuprates.