SO(5) structure of p-wave superconductivity for spin-dipole interaction model
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.
Cite
@article{arxiv.math-ph/0111029,
title = {SO(5) structure of p-wave superconductivity for spin-dipole interaction model},
author = {Hong-Biao Zhang and Mo-Lin Ge and Kang Xue},
journal= {arXiv preprint arXiv:math-ph/0111029},
year = {2009}
}
Comments
7 pages, no figures. Accepted Journal of Physcis A: Mathematical and General