# Predicted electric field induced surface magnetization of vortex phase of superconductors

## TL;DR

This paper predicts a novel electric field-induced surface magnetization effect in the vortex phase of superconductors, enabling potential spectroscopy of Cooper pair mass through induced magnetic oscillations.

## Contribution

It introduces a new effect where electric fields induce surface magnetization in superconductors' vortex phase, with explicit formulas linking magnetization to Cooper pair effective mass.

## Key findings

- Magnetization oscillates with applied alternating voltage.
- Explicit formula relates magnetization to Cooper pair mass.
- Potential for effective Cooper pair mass spectroscopy.

## Abstract

We predict a new effect in condensed matter surface magnetization of the vortex phase of a superconductor induced by electric field. The magnetized superconductor should be one of the plates of a plane capacitor on which a voltage has to be applied. Applying alternating voltage to the capacitor, electrostatic induction leads to oscillations of the magnetic moment which has to be measured by electromotive force inducted in a detector coil. The derived explicit formula for the magnetization contains the effective mass of Cooper pairs and a systematic investigation of the predicted magnetization will lead to a creation of an effective Cooper pair mass spectroscopy. For cleaved superconductors this effective mass is a property of the bulk material.