Quantum Superconductor-Metal Transition in Al, C doped MgB2 and overdoped Cuprates?

TL;DR

This paper investigates the quantum superconductor-metal transition in doped MgB2 and overdoped cuprates, analyzing scaling relations and comparing them with experimental data to understand the transition's nature.

Contribution

It examines the validity of scaling relations for the quantum superconductor-metal transition across different materials and dimensions, linking theory with experimental observations.

Findings

Scaling relations are consistent with experimental data in Al, C doped MgB2, and overdoped cuprates.

The transition behavior follows predicted power-law dependencies across various dimensions.

The study supports a unified understanding of quantum superconductor-metal transitions in different superconducting systems.

Abstract

We consider the realistic case of a superconductor with a nonzero density of elastic scatterers, so that the normal state conductivity is finite. The quantum superconductor-metal (QSM) transition can then be tuned by varying either the attractive electron-electron interaction, the quenched disorder, or the applied magnetic field. We explore the consistency of the associated scaling relations, Tc ~ 1/lamda(0) ~ gap(0) ~ 1/gsi(0) ~ Hc2(0)^-0.5 and Tc(H) ~ 1/Lamda(0,H) ~ gap(0,h) ~ (Hc2(0)-H)^ 1/2, valid for all dimensions D > 2, with experimental data, in Al, C doped MgB2 and overdoped cuprates.