Accuracy of classical conductivity theory at atomic scales for free fermions in disordered media

DOI10.1016/j.matpur.2019.01.003zbMath1419.82058arXiv1902.05094OpenAlexW3105297852WikidataQ128585677 ScholiaQ128585677MaRDI QIDQ1739228

Xianqiang Yang

Publication date: 26 April 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05094

zbMATH Keywords

large deviationsdisordered mediarandom potentialsquantum uncertaintyCombes-Thomas estimatesfermionic charge transportrandom hopping ampitudestight-binding Anderson model

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Large deviations (60F10) Transport processes in time-dependent statistical mechanics (82C70) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Random nonlinear operators (47H40) Functional analysis techniques applied to functions of several complex variables (32A70) Quantum waveguides, quantum wires (82D77)

Related Items (3)

A \(\mathbb{Z}_2\)-topological index for quasi-free fermions ⋮ Quantum fluctuations and large-deviation principle for microscopic currents of free fermions in disordered media ⋮ Entanglement of classical and quantum short-range dynamics in mean-field systems

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