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

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

2001-11-18

arxiv.org/abs/math-ph/0111029v1

Physics

Mathematical Physics

7 pages, no figures. Accepted Journal of Physcis A: Mathematical and General

Scientific paper

10.1088/0305-4470/35/1/102

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.

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