Journal Articles Journal of Mathematical Physics Year : 2017

Generalized Kubo Formulas for the Transport Properties of Incommensurate 2D Atomic Heterostructures

Abstract

We give an exact formulation for the transport coefficients of incommensurate two-dimensional atomic multilayer systems in the tight-binding approximation. This formulation is based upon the C*-algebra framework introduced by Bellissard and collaborators to study aperiodic solids (disordered crystals, quasicrystals, and amorphous materials), notably in the presence of magnetic fields (quantum Hall effect). We also present numerical approximations and test our methods on a one-dimensional incommensurate bilayer system.
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Dates and versions

hal-01403588 , version 1 (26-11-2016)
hal-01403588 , version 2 (18-11-2017)

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Eric Cancès, Paul Cazeaux, Mitchell Luskin. Generalized Kubo Formulas for the Transport Properties of Incommensurate 2D Atomic Heterostructures. Journal of Mathematical Physics, 2017, 58 (6), pp.1-29. ⟨10.1063/1.4984041⟩. ⟨hal-01403588v2⟩
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