F M Marchetti and B D Simons 2001 J. Phys. A: Math. Gen. 34 10805 doi:10.1088/0305-4470/34/49/305
Optimal fluctuations and tail states of non-Hermitian operators
F M Marchetti1,2 and B D Simons1
Show affiliationsA statistical field theory is developed to explore the density of states and spatial profile of 'tail states' at the edge of the spectral support of a general class of disordered non-Hermitian operators. These states, which are identified with symmetry broken, instanton field configurations of the theory, are closely related to localized sub-gap states recently identified in disordered superconductors. By focusing separately on the problems of a quantum particle propagating in a random imaginary scalar potential, and a random imaginary vector potential, we discuss the methodology of our approach and the universality of the results. Finally, we address some potential physical applications of our findings.
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Issue 49 (14 December 2001)
Received 16 August 2001
Published 30 November 2001
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Optimal fluctuations and tail states of non-Hermitian operators
F M Marchetti and B D Simons 2001 J. Phys. A: Math. Gen. 34 10805
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