Hölder Continuity of the Integrated Density of States in the One-Dimensional Anderson Model
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DOI: 10.1007/s00220-017-2927-5
Abstract: AbstractWe consider the one-dimensional random Schrödinger operator $$H_{\omega} = H_0 + \sigma V_{\omega},$$Hω=H0+σVω,where the potential V has i.i.d. entries with bounded support. We prove that the IDS is Hölder continuous with exponent $${1-c \sigma}$$1-cσ. This… read more here.
Keywords: lder continuity; density states; states one; integrated density ... See more keywords
Surface Lifshits tails for random quantum Hamiltonians
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4977753
Abstract: We consider Schrodinger operators on L2(ℝd)⊗L2(ℝl) of the form Hω=H⊥⊗I∥+I⊥⊗H∥+Vω, where H⊥ and H∥ are Schrodinger operators on L2(ℝd) and L2(ℝl), respectively, and Vω(x,y):=∑ξ∈ℤdλξ(ω)v(x−ξ,y),x∈ℝd,y∈ℝl is a random “surface potential.” We investigate the behavior of the… read more here.
Keywords: surface lifshits; random quantum; integrated density; tails random ... See more keywords