Hopping between Random Locations: Spectrum and Instanton

Abstract

Euclidean random matrices appear in a broad class of physical problems involving disorder. The problem of determining their spectra can be mapped, using the replica method, into the study of a scalar field theory with an interaction of the type e^(psi^2). We apply the instanton method to study their spectral tails.

9 pages, Revtex, 2 postscript figures

References in corpus (2)

• Thermodynamics of glasses: a first principle computation
• Spectra of Euclidean Random Matrices

Cited by in corpus (6)

• Vibrational spectrum of topologically disordered systems
• Survival of classical and quantum particles in the presence of traps
• Anderson Localization in Euclidean Random Matrices
• On the high-density expansion for Euclidean Random Matrices
• Density of states of a graphene in the presence of strong point defects
• Fluctuations in the Site Disordered Traveling Salesman Problem