# Alfven-like waves along normal-superconductor phase boundaries

## TL;DR

This paper proposes the existence of Alfven-like waves along normal-superconductor phase boundaries, driven by charge flow and magnetic fields, suggesting a new phenomenon in superconductivity that can be experimentally tested.

## Contribution

It introduces the concept of Alfven-like waves propagating along phase boundaries in superconductors, based on the theory of hole superconductivity, which differs from conventional theories.

## Key findings

- Theoretical prediction of Alfven-like waves along phase boundaries.
- Dependence on hole charge carriers for wave propagation.
- Suggestion for experimental detection of these waves.

## Abstract

Alfven waves are transverse magneto-hydrodynamic waves resulting from motion of a conducting fluid in direction perpendicular to an applied magnetic field, that propagate along the magnetic field direction. I propose that Alfven-like waves can propagate along normal-superconductor phase boundaries in the presence of a magnetic field. This requires charge flow and backflow across the normal-superconductor phase boundary when the boundary moves, which is predicted by the theory of hole superconductivity but not by the conventional theory of superconductivity. The magnetic field and the domain wall energy provide elasticity, and the normal charge carriers' effective mass provides inertia. It is essential that the normal state charge carriers are holes. I propose an experimental search for Alfven-like waves in superconductors.