SO(5) structure of p-wave superconductivity for the spin-dipole interaction model
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Publication:4533857
DOI10.1088/0305-4470/35/1/102zbMath0995.82058arXivmath-ph/0111029OpenAlexW2040672242MaRDI QIDQ4533857
Hong-Biao Zhang, Mo-Lin Ge, Kang Xue
Publication date: 11 June 2002
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/math-ph/0111029
Statistical mechanics of superconductors (82D55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
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