A possibility of increase of a superconducting gap in two-dimensional BCS superconductor

TL;DR

This paper proposes a modified mechanism for the formation of the superconducting gap in two-dimensional BCS superconductors, considering fluctuation dynamics near the phase transition, which could explain high-temperature superconductivity features.

Contribution

It introduces a new mechanism accounting for fluctuation dynamics that potentially increases the superconducting gap in 2D BCS superconductors.

Findings

Estimated superconducting gap values align with high-temperature superconductor observations.

The model predicts an isotopic effect consistent with experimental data.

Fluctuation dynamics near the phase transition significantly influence the gap formation.

Abstract

According to the BCS model the probability of filling of pair electron states vk2 as a function of kinetic energy is smeared i.e. is not a step function. This means that part of energy of connection through virtual phonons is consumed to increase the kinetic energy in an electron system at the transition to the superconducting state. In this work a modified mechanism of vk2 formation is proposed which takes into account the dynamics of fluctuations near the phase transition. The estimations of superconducting gap and isotopic effect for a matrial with parameters of high-temperature superconductors give values comparable with these observed