Evolution of the Density of States Gap in a Disordered Superconductor

Details Evolution of the Density of States Gap in a Disordered Superconductor Evolution of the Density of States Gap in a Disordered Superconductor

1998-04-10

arxiv.org/abs/cond-mat/9804122v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.81.2775

It has only recently been possible to study the superconducting state in the attractive Hubbard Hamiltonian via a direct observation of the formation of a gap in the density of states N(w). Here we determine the effect of random chemical potentials on N(w) and show that at weak coupling, disorder closes the gap concurrently with the destruction of superconductivity. At larger, but still intermediate coupling, a pseudo-gap in N(w) remains even well beyond the point at which off-diagonal long range order vanishes. This change in the elementary excitations of the insulating phase corresponds to a crossover between Fermi- and Bose-Insulators. These calculations represent the first computation of the density of states in a finite dimensional disordered fermion model via the Quantum Monte Carlo and maximum entropy methods.

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