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 Sap 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.

Small superconducting grain in the canonical ensemble

FALCI, Giuseppe;
1998

Abstract

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 Sap 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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/965
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