A small superconducting grain in the canonical ensemble

Details A small superconducting grain in the canonical ensemble A small superconducting grain in the canonical ensemble

1998-01-18

arxiv.org/abs/cond-mat/9801179v1

Physics

Condensed Matter

Superconductivity

11 pages Revtex, 5 figures .eps

Scientific paper

10.1103/PhysRevLett.80.4542

By means of the Lanczos method we analyze superconducting correlations in ultrasmall grains at fixed particle number. We compute the ground state properties and the excitation gap of the pairing Hamiltonian as a function of the level spacing $\delta$. Both quantities turn out to be parity dependent and universal functions of the ratio $\delta/\Delta$ ($\Delta$ is the BCS gap). We then characterize superconductivity in the canonical ensemble from the scaling behavior of correlation functions in energy space.

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