Generalized Kubo Formulas for the Transport Properties of Incommensurate 2D Atomic Heterostructures
Mathematical Physics
2017-06-28 v1 Materials Science
math.MP
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.
Keywords
Cite
@article{arxiv.1611.08043,
title = {Generalized Kubo Formulas for the Transport Properties of Incommensurate 2D Atomic Heterostructures},
author = {Eric Cancès and Paul Cazeaux and Mitchell Luskin},
journal= {arXiv preprint arXiv:1611.08043},
year = {2017}
}