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Phys. Rev. Lett. 85, 816–819 (2000)

Effect of Time Reversal Symmetry Breaking on the Density of States in Small Superconducting Grains

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I. S. Beloborodov1, B. N. Narozhny2,3, and I. L. Aleiner2,3
1Theoretische Physik III, Ruhr-Universität Bochum, 44780 Bochum, Germany
2Department of Physics and Astronomy, SUNY Stony Brook, Stony Brook, New York 11794
3Centre for Advanced Studies, Drammensveien 78, N-0271 Oslo, Norway

Received 13 December 1999; published in the issue dated 24 July 2000

We show that in ultrasmall superconducting grains any concentration of magnetic impurities or infinitely small orbital effect of magnetic field leads to destruction of the hard gap in the tunneling density of states, and find analytically the exponential tail at low energies. Thus, the tunneling density of states exhibits the “soft gap” behavior. As the energy approaches zero, it vanishes linearly with excitation energy.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.816
DOI:
10.1103/PhysRevLett.85.816
PACS:
73.23.-b, 74.80.Bj