Lifshits Tails for Randomly Twisted Quantum Waveguides
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Date
2018
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Abstract
We consider the Dirichlet Laplacian on a 3D twisted waveguide with random Anderson-type twisting . We introduce the integrated density of states for the operator , and investigate the Lifshits tails of , i.e. the asymptotic behavior of as . 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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Keywords
Randomly twisted quantum waveguide, Dirichlet Laplacian, Integrated density of states, Lifshits tails