Strong-coupling expansion for the pairing Hamiltonian for small superconducting metallic grains
Emil A. Yuzbashyan, Alexander A. Baytin, Boris L. Altshuler
DOI 10.1103/PhysRevB.68.214509 · Physical Review B
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Abstract
The paper is devoted to the study of the effects due to superconducting pairing in small metallic grains. We explicitly determine the low-energy spectrum of the problem at strong superconducting coupling and in the limit of large Thouless conductance. We start with the strong-coupling limit and develop a systematic expansion in powers of the inverse coupling constant for the many-particle spectrum of the system. The strong- coupling expansion is based on the formal exact solution of the Richardson model and converges for realistic values of the coupling constant. We use this expansion to study the low-energy excitations of the system, in particular energy and spin gaps in the many-body spectrum.
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