TY - JOUR
T1 - Generalized Kubo formulas for the transport properties of incommensurate 2D atomic heterostructures
AU - Cancès, Eric
AU - Cazeaux, Paul
AU - Luskin, Mitchell
PY - 2017/6/1
Y1 - 2017/6/1
N2 - We give an exact formulation for the transport coefficients of incommensurate twodimensional atomic multilayer systems in the tight-binding approximation. This formulation is based upon the C* algebra framework introduced by Bellissard and collaborators [Coherent and Dissipative Transport in Aperiodic Solids, Lecture Notes in Physics (Springer, 2003), Vol. 597, pp. 413-486 and J. Math. Phys. 35(10), 5373-5451 (1994)] 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.
AB - We give an exact formulation for the transport coefficients of incommensurate twodimensional atomic multilayer systems in the tight-binding approximation. This formulation is based upon the C* algebra framework introduced by Bellissard and collaborators [Coherent and Dissipative Transport in Aperiodic Solids, Lecture Notes in Physics (Springer, 2003), Vol. 597, pp. 413-486 and J. Math. Phys. 35(10), 5373-5451 (1994)] 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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U2 - 10.1063/1.4984041
DO - 10.1063/1.4984041
M3 - Article
AN - SCOPUS:85020098672
SN - 0022-2488
VL - 58
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 6
M1 - 063502
ER -