Electronic transport properties of quasicrystals

DOI10.1063/1.531914zbMath0876.73061arXivcond-mat/9708016OpenAlexW3101552526MaRDI QIDQ4340139

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Publication date: 16 June 1997

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9708016

zbMATH Keywords

magnetic fieldtemperaturequasiperiodicitydefectselectrical conductivitylinear responseKubo-Greenwood formula

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Statistical mechanics of crystals (82D25) Micromechanical theories (74A60) Technical applications of optics and electromagnetic theory (78A55) Transport processes in time-dependent statistical mechanics (82C70)

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Quantization of conductance in quasi-periodic quantum wires, Computing Semigroups with Error Control, Electronic wave functions of quasiperiodic systems in momentum space, Linear scaling quantum transport methodologies, INTERACTIONS IN QUASICRYSTALS, Time-space fabric underlying anomalous diffusion, Anomalous Transport: A Mathematical Framework, Eigenstates in gain-loss systems of metallic-mean quasiperiodic chains

Cites Work

• The infinite number of generalized dimensions of fractals and strange attractors
• Continuity properties of the electronic spectrum of 1D quasicrystals
• The Boltzmann Equation in the Theory of Electrical Conduction in Metals
• Quantum particle in a hierarchical potential with tunnelling over arbitrarily large scales
• ELECTRONIC STATES OF QUASIPERIODIC SYSTEMS: FIBONACCI AND PENROSE LATTICES
• The noncommutative geometry of the quantum Hall effect