Theoretical Study on Superconductivity in Boron-Doped Diamond

TL;DR

This paper presents a theoretical analysis of superconductivity in boron-doped diamond, focusing on how disorder and doping influence the critical temperature using simplified models and approximations.

Contribution

It introduces a simplified theoretical model incorporating disorder effects to study superconductivity in boron-doped diamond, highlighting the crucial role of disorder on $T_c$.

Findings

Disorder significantly affects the superconducting critical temperature.

The model's results align with supercell calculations, validating its approach.

Disorder reduces $T_c$ compared to idealized models.

Abstract

We consider superconductivity in boron (B) doped diamond using a simplified model for the valence band of diamond. We treat the effects of substitutional disorder of B ions by the coherent potential approximation (CPA) and those of the attractive force between holes by the ladder approximation under the assumption of instantaneous interaction with the Debye cutoff. We thereby calculate the quasiparticle life time, the evolution of the single-particle spectra due to doping, and the effect of disorder on the superconducting critical temperature $T_c$. We in particular compare our results with those for supercell calculations to see the role of disorder, which turns out to be of crucial importance to $T_c$.