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25 September 2022
  » arxiv » cond-mat/9701041

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Parity Effect in Ground State Energies of Ultrasmall Superconducting Grains
K.A. Matveev ; A.I. Larkin ;
Date 8 Dec 1996
Subject Mesoscopic Systems and Quantum Hall Effect; Superconductivity | cond-mat.mes-hall cond-mat.supr-con
AbstractWe study the superconductivity in small grains in the regime when the quantum level spacing $deltavarepsilon$ is comparable to the gap $Delta$. As $deltavarepsilon$ is increased, the system crosses over from superconducting to normal state. This crossover is studied by calculating the dependence of the ground state energy of a grain on the parity of the number of electrons. The states with odd numbers of particles carry an additional energy $Delta_P$, which shows non-monotonic dependence on $deltavarepsilon$. Our predictions can be tested experimentally by studying the parity-induced alternation of Coulomb blockade peak spacings in grains of different sizes.
Source arXiv, cond-mat/9701041
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