1205.0005 (Sho Yaida)

Instanton Calculus of Lifshitz Tails    [PDF]

Sho Yaida

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.

View original: http://arxiv.org/abs/1205.0005