High-Dimensional Disorder-Driven Phenomena in Weyl Semimetals, Semiconductors and Related Systems

Abstract

It is commonly believed that a non-interacting disordered electronic system can undergo only the Anderson metal-insulator transition. It has been suggested, however, that a broad class of systems can display disorder-driven transitions distinct from Anderson localisation that have manifestations in the disorder-averaged density of states, conductivity and other observables. Such transitions have received particular attention in the context of recently discovered 3D Weyl and Dirac materials but have also been predicted in cold-atom systems with long-range interactions, quantum kicked rotors and all sufficiently high-dimensional systems. Moreover, such systems exhibit unconventional behaviour of Lifshitz tails, energy-level statistics and ballistic-transport properties. Here we review recent progress and the status of results on non-Anderson disorder-driven transitions and related phenomena.

Invited review for The Annual Reviews of Condensed Matter Physics, vol. 9; 26 pages, 9 figures, 1 table

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Cited by in corpus (10)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Weyl semimetal to metal phase transitions driven by quasiperiodic potentials
• Single particle excitations in disordered Weyl fluids
• Interplay between short-range correlated disorder and Coulomb interaction in nodal-line semimetals
• New Quantum Transition in Weyl Semimetals with Correlated Disorder
• Weyl node with random vector potential
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Transversal magnetotransport in Weyl semimetals: Exact numerical approach
• Effect of incommensurate potential on nodal-link semimetals
• Fate of Weyl semimetals in the presence of incommensurate potentials