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.
https://hal.inria.fr/hal-01403588
Contributeur : Paul Cazeaux
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Soumis le : samedi 18 novembre 2017 - 21:44:29
Dernière modification le : jeudi 26 avril 2018 - 10:28:35
Eric Cancès, Paul Cazeaux, Mitchell Luskin. Generalized Kubo Formulas for the Transport Properties of Incommensurate 2D Atomic Heterostructures. Journal of Mathematical Physics, American Institute of Physics (AIP), 2017, 58 (6), pp.1-29. 〈10.1063/1.4984041〉. 〈hal-01403588v2〉
