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Finite Size Corrections for the Pairing Hamiltonian

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arxiv cond-mat/0406541 v1 pith:WBG3DFES submitted 2004-06-23 cond-mat.supr-con cond-mat.mes-hall

Finite Size Corrections for the Pairing Hamiltonian

Emil A. Yuzbashyan , Alexander A. Baytin , Boris L. Altshuler This is my paper
classification cond-mat.supr-con cond-mat.mes-hall
keywords expansioncorrectionsenergyfinitepairingsizecalculateconductance
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the effects of superconducting pairing in small metallic grains. We show that in the limit of large Thouless conductance one can explicitly determine the low energy spectrum of the problem as an expansion in the inverse number of electrons on the grain. The expansion is based on the formal exact solution of the Richardson model. We use this expansion to calculate finite size corrections to the ground state energy, Matveev-Larkin parameter, and excitation energies.

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