SO(5) structure of p-wave superconductivity for spin-dipole interaction model

TL;DR

This paper reveals an SO(5) algebraic structure in p-wave superconductivity models with spin-dipole interactions, offering a new approach for diagonalization and understanding the relationship between s-wave and p-wave states.

Contribution

It introduces an SO(5) algebraic framework for p-wave superconductivity, enabling diagonalization via Bogoliubov rotation and connecting to Yangian algebra for s- and p-wave relations.

Findings

SO(5) algebraic structure identified in p-wave Hamiltonian

Diagonalization achieved using Bogoliubov rotation

Connection established between s-wave and p-wave via Yangian algebra

Abstract

A closed SO(5) algebraic structure in the the mean-field form of the Hamiltonian the pure p-wave superconductivity is found that can help to diagonalized by making use of the Bogoliubov rotation instead of the Balian-Werthamer approach. we point out that the eigenstate is nothing but SO(5)-coherent state with fermionic realization. By applying the approach to the Hamiltonian with dipole interaction of Leggett the consistency between the diagonalization and gap equation is proved through the double-time Green function. The relationship between the s-wave and p-wave superconductivities turns out to be recognized through Yangian algebra, a new type of infinite-dimensional algebra.