Effect of Matrix Elements on the Pairing Kernel in Exchange Mediated Superconductors

TL;DR

This paper develops a method to calculate the pairing kernel in exchange-mediated superconductors, accounting for matrix element effects, and applies it to UPt3 using relativistic wavefunctions from band calculations.

Contribution

It introduces a formalism that incorporates matrix element effects into the pairing kernel calculation for exchange-mediated superconductors.

Findings

Applied to UPt3 with relativistic wavefunctions

Includes models like spin, orbital, and quadrupolar exchange

Provides a framework for more accurate pairing calculations

Abstract

A method is derived for calculating the pairing kernel in exchange mediated superconductors including matrix element effects. Various models for the interaction vertex are considered, including spin exchange, orbital exchange, and quadrupolar exchange. As an example, this formalism is applied to $UPt_3$ using relativistic wavefunctions from a local density band calculation.