# Non-equilibrium quantum transport and analytical conductance formula in spin-textured diffusive superconducting heterostructures

## TL;DR

This paper derives an analytical formula for charge conductance in non-equilibrium spin-textured superconducting heterostructures, revealing significant deviations from local density of states that aid in identifying unconventional superconductivity.

## Contribution

It introduces a general analytical conductance formula for non-equilibrium superconducting heterostructures with spin textures, validated against numerical results.

## Key findings

- Analytical conductance formula matches numerical results at finite temperatures.
- Strong deviations between conductance spectra and local density of states are predicted.
- The results help identify spectroscopic signatures of unconventional superconductivity.

## Abstract

We study non-equilibrium quantum transport of spin, heat, and charge in diffusive heterostructures including both superconductors and materials with spin-dependent fields, such as textured ferromagnets and spin-orbit coupled materials. Using the quasiclassical theory of superconductivity, we derive a general analytical formula for the zero-temperature charge conductance valid in the non-linear regime. The analytical results are in excellent agreement with previous numerical calculations at small but finite temperatures. We predict a strong deviation between the conductance spectra and local density of states in certain junctions, which is important to correctly identify spectroscopic fingerprints of unconventional superconductivity.

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Source: https://tomesphere.com/paper/1706.03069