Instanton Calculus of Lifshitz Tails
arXiv:1205.0005 · doi:10.1103/PhysRevB.93.075120
Abstract
For noninteracting particles moving in a Gaussian random potential, there exists a disagreement in the literature on the asymptotic expression for the density of states in the tail of the band. We resolve this discrepancy. Further we illuminate the physical facet of instantons appearing in replica and supersymmetric derivations with another derivation employing a Lagrange multiplier field.
5 pages
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- Rare Trajectories in a Prototypical Mean-field Disordered Model: Insights into Landscape and Instantons