The extended Hubbard model applied to study the pressure effects for High Temperature Superconductors

TL;DR

This paper uses a BCS-based extended Hubbard model to microscopically analyze how pressure influences the superconducting transition temperature (Tc) in high-temperature superconductors, providing a more detailed understanding than previous phenomenological models.

Contribution

It introduces a novel microscopic approach to interpret pressure effects on Tc using an extended Hubbard Hamiltonian, surpassing phenomenological models by explaining intrinsic pressure contributions.

Findings

Pressure increases the superconducting gap.

The model explains variations of Tc under pressure.

Application to Hg-based superconductors matches experimental data.

Abstract

We make use of a BCS type approach based on the extended Hubbard Hamiltonian to study the superconductor transition and to give a microscopic interpre- tation of the pressure effects on Tc in high temperature superconductors. This novel method suggests that the applied pressure causes an increase of the superconducting gap and this effect is explored in order to explain the variations of Tc. Our approach is therefore beyond the scope of previously phenomenological models which basically postulate a pressure-induced charge transfer and an intrinsic term linear on the pressure. We obtain a microscopic interpretation of this intrinsic term and a general expansion of Tc in terms of the pressure. To demonstrate the efficiency of the method we apply it to the experimental data of the Hg-base superconductors.