Predicted electric field near small superconducting ellipsoids

TL;DR

This paper predicts large, quadrupole-like electric fields near small superconducting ellipsoids, influenced by shape and charge asymmetry, with implications for understanding superconducting surface phenomena.

Contribution

It introduces a theoretical prediction of electric fields near superconducting ellipsoids, highlighting shape-dependent quadrupole moments and charge asymmetry effects.

Findings

Large electric fields predicted near superconducting ellipsoids

Electric fields are quadrupolar with higher multipole corrections

Prolate and oblate shapes exhibit opposite quadrupole signs

Abstract

We predict the existence of large electric fields near the surface of superconducting bodies of ellipsoidal shape of dimensions comparable to the penetration depth. The electric field is quadrupolar in nature with significant corrections from higher order multipoles. Prolate (oblate) superconducting ellipsoids are predicted to exhibit fields consistent with negative (positive) quadrupole moments, reflecting the fundamental charge asymmetry of matter.