Based on generalized Gaudin models and Lie algebras so(2m), we construct two integrable cases of the pairing BCS Hamiltonians containing m types of spinless fermions. They are the so-called s-type and p x + ip y-type BCS Hamiltonians. In the particular case of the Lie algebra so(8), the constructed models can be viewed as N = Z proton-neutron integrable models. We find the spectrum of the constructed Hamiltonians in terms of solutions of Bethe-type equations. © 2012 IOP Publishing Ltd.
Skrypnyk, T. (2012). Classical r-matrices and integrable BCS models with many types of fermions. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 45(41), 415203 [10.1088/1751-8113/45/41/415203].
Classical r-matrices and integrable BCS models with many types of fermions
SKRYPNYK, TARASPrimo
2012
Abstract
Based on generalized Gaudin models and Lie algebras so(2m), we construct two integrable cases of the pairing BCS Hamiltonians containing m types of spinless fermions. They are the so-called s-type and p x + ip y-type BCS Hamiltonians. In the particular case of the Lie algebra so(8), the constructed models can be viewed as N = Z proton-neutron integrable models. We find the spectrum of the constructed Hamiltonians in terms of solutions of Bethe-type equations. © 2012 IOP Publishing Ltd.
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