A Model for the Coexistence of p-wave Superconductivity and Ferroelectricity

TL;DR

This paper presents a theoretical model demonstrating how ferroelectricity can influence p-wave superconductivity, revealing a magnetic field effect induced by ferroelectricity within a unified algebraic framework.

Contribution

It introduces a novel algebraic model combining $so(5)$ and $h(4)$ symmetries to describe the coexistence of p-wave superconductivity and ferroelectricity.

Findings

Ferroelectricity induces a magnetic field effect on p-wave superconductivity.

The model uses a double mean-field approximation for simplification.

A variational coherent-state approach is employed for the ground state analysis.

Abstract

A model for the coexistence of p-wave superconductivity (SC) and ferroelectricity (FE) is presented. The Hamiltonian of SC sector and FE sector can be diagonalized by using the $so(5)$ and $h(4)$ algebraic coherent states respectively. We assume a minimal symmetry-allow coupling and simplify the total Hamiltonian through a double mean-field approximation (DMFA). A variational coherent-state (VCS) trial wave-function is applied for the ground state. It is found that the ferroelectricity gives rise to the magnetic field effect of p-wave superconductivity.