Lifshits Tails for Randomly Twisted Quantum Waveguides |
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| Authors: | Werner Kirsch David Krejčiřík Georgi Raikov |
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| Affiliation: | 1.Fakult?t für Mathematik und Informatik,FernUniversit?t in Hagen,Hagen,Germany;2.Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering,Czech Technical University in Prague,Prague 2,Czech Republic;3.Facultad de Matemáticas,Pontificia Universidad Católica de Chile,Santiago de Chile,Chile |
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| Abstract: | ![]()
We consider the Dirichlet Laplacian (H_gamma ) on a 3D twisted waveguide with random Anderson-type twisting (gamma ). We introduce the integrated density of states (N_gamma ) for the operator (H_gamma ), and investigate the Lifshits tails of (N_gamma ), i.e. the asymptotic behavior of (N_gamma (E)) as (E downarrow inf mathrm{supp}, dN_gamma ). In particular, we study the dependence of the Lifshits exponent on the decay rate of the single-site twisting at infinity. |
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