Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download

https://hal.inria.fr/hal-01403588
Contributor : Paul Cazeaux <>
Submitted on : Saturday, November 18, 2017 - 9:44:29 PM
Last modification on : Saturday, February 27, 2021 - 4:02:05 PM

File

MultilayerKubo.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

598

Files downloads

656