Finite Size Corrections for the Pairing Hamiltonian

Details Finite Size Corrections for the Pairing Hamiltonian Finite Size Corrections for the Pairing Hamiltonian

2004-06-23

arxiv.org/abs/cond-mat/0406541v1

Phys. Rev. B 71, 094505 (2005)

Physics

Condensed Matter

Superconductivity

22 pages, 1 figure

Scientific paper

10.1103/PhysRevB.71.094505

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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