Generalized Kubo formulas for the transport properties of incommensurate 2D atomic heterostructures

DOI10.1063/1.4984041zbMath1371.82099arXiv1611.08043OpenAlexW2557716322MaRDI QIDQ5282861

Eric Cancès, Paul Cazeaux, Mitchell Luskin

Publication date: 17 July 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08043

zbMATH Keywords

Kubo formulas

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Transport processes in time-dependent statistical mechanics (82C70) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (14)

Bistritzer–MacDonald dynamics in twisted bilayer graphene ⋮ Relaxation and domain wall structure of bilayer moiré systems ⋮ Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space ⋮ Mathematical aspects of the Kubo formula for electrical conductivity with dissipation ⋮ Quantization of conductance in quasi-periodic quantum wires ⋮ On the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transform ⋮ Efficient computation of Kubo conductivity for incommensurate 2D heterostructures ⋮ Disordered crystals from first principles. II: Transport coefficients ⋮ Plane wave methods for quantum eigenvalue problems of incommensurate systems ⋮ Modeling and Computation of Kubo Conductivity for Two-Dimensional Incommensurate Bilayers ⋮ Disordered crystals from first principles. I: Quantifying the configuration space ⋮ Incommensurate Heterostructures in Momentum Space ⋮ Cauchy–Born strain energy density for coupled incommensurate elastic chains ⋮ Energy minimization of two dimensional incommensurate heterostructures

Uses Software

• Julia

Cites Work

• A kinetic theory for quantum transport in aperiodic media
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• Coherent and Dissipative Transport in Aperiodic Solids: An Overview
• Analysis of Rippling in Incommensurate One-Dimensional Coupled Chains
• Electronic Density of States for Incommensurate Layers
• The Structure of Electronic Excitation Levels in Insulating Crystals

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