[图书][B] Fractional kinetics in solids: anomalous charge transport in semiconductors, dielectrics and nanosystems

VV Uchaikin, RT Sibatov - 2012 - books.google.com
The standard (Markovian) transport model based on the Boltzmann equation cannot
describe some non-equilibrium processes called anomalous that take place in many …

Beyond Anderson localization in 1D: Anomalous localization of microwaves in random waveguides

AA Fernández-Marín, JA Méndez-Bermúdez… - Physical Review Letters, 2014 - APS
Experimental evidence demonstrating that anomalous localization of waves can be induced
in a controllable manner is reported. A microwave waveguide with dielectric slabs randomly …

The influence of Coulomb interaction screening on the excitons in disordered two-dimensional insulators

EV Kirichenko, VA Stephanovich - Scientific Reports, 2021 - nature.com
We study the joint effect of disorder and Coulomb interaction screening on the exciton
spectra in two-dimensional (2D) structures. These can be van der Waals structures or …

Anomalous kinetics of charge carriers in disordered solids: Fractional derivative approach

VV Uchaikin, RT Sibatov - International Journal of Modern Physics …, 2012 - World Scientific
Anomalous (non-Gaussian) kinetics is often observed in various disordered materials, such
as amorphous semiconductors, porous solids, polycrystalline films, liquid-crystalline …

Conductance through disordered graphene nanoribbons: Standard and anomalous electron localization

I Kleftogiannis, I Amanatidis, VA Gopar - Physical Review B—Condensed …, 2013 - APS
Conductance fluctuations produced by the presence of disorder in zigzag and armchair
graphene nanoribbons are studied. We show that quantum transport in zigzag nanoribbons …

Tempered fractional equations for quantum transport in mesoscopic one-dimensional systems with fractal disorder

RT Sibatov, HG Sun - Fractal and Fractional, 2019 - mdpi.com
New aspects of electron transport in quantum wires with Lévy-type disorder are described.
We study the weak scattering and the incoherent sequential tunneling in one-dimensional …

Wave transmission and its universal fluctuations in one-dimensional systems with Lévy-like disorder: Schrödinger, Klein-Gordon, and Dirac equations

ALR Barbosa, JRF Lima, LFC Pereira - Physical Review E, 2022 - APS
We investigate the propagation of waves in one-dimensional systems with Lévy-type
disorder. We perform a complete analysis of nonrelativistic and relativistic wave …

Dirac wave transmission in Lévy-disordered systems

JRF Lima, LFC Pereira, ALR Barbosa - Physical Review E, 2019 - APS
We investigate the propagation of electronic waves described by the Dirac equation subject
to a Lévy-type disorder distribution. Our numerical calculations, based on the transfer matrix …

Localization in one-dimensional chains with Lévy-type disorder

SS Zakeri, S Lepri, DS Wiersma - Physical Review E, 2015 - APS
We study Anderson localization of the classical lattice waves in a chain with mass impurities
distributed randomly through a power-law relation s−(1+ α) with s as the distance between …

Effect of fractional spectra on conductor-insulator transitions in systems of interacting fermions

A Sinner, VA Stephanovich - Physical Review B, 2024 - APS
We demonstrate that a disordered Fermi system with density-density interaction can
undergo a metal-dielectric phase transition, which depends on the relationship between the …