Toy model of superconductivity

TL;DR

This paper proposes a hypothetical superconductivity model where the material remains superconducting at all temperatures and magnetic fields, with an energy gap that diminishes but never fully closes.

Contribution

It introduces a theoretical model of superconductivity with infinite critical temperature and field, challenging conventional limits of superconducting states.

Findings

Energy gap approaches zero asymptotically with temperature and magnetic field.

Critical temperature and field are infinite in this model.

Material remains in a superconducting state at all conditions.

Abstract

The model of hypothetical superconductivity, where the energy gap asymptotically approaches zero as temperature or magnetic field increases, has been proposed. Formally the critical temperature and the second critical field for such a superconductor is equal to infinity. Thus the material is in superconducting state always.