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Mott variable-range hopping is a fundamental mechanism for electron transport in disordered solids in the regime of strong Anderson localization. We give a brief description of this mechanism, recall some results concerning the behavior of…

Probability · Mathematics 2018-06-19 Alessandra Faggionato

We study the electron transport in a deformable lattice modeled in the semiclassical approximation as a discrete nonlinear elastic chain where acoustic phonons are in thermal equilibrium at temperature T. We reveal that an effective dynamic…

Disordered Systems and Neural Networks · Physics 2018-08-29 A. V. Savin , Y. S. Kivshar , M. I. Molina

For a system of localised electron states the DC conductivity vanishes at zero temperature, but localised electrons can conduct at finite temperature. Mott gave a theory for the low-temperature conductivity in terms of a variable-range…

Disordered Systems and Neural Networks · Physics 2009-11-13 B. Mehlig , M. Wilkinson

A quantum particle can be localized in a disordered potential, the effect known as Anderson localization. In such a system, correlations of wave functions at very close energies may be described, due to Mott, in terms of a hybridization of…

Mesoscale and Nanoscale Physics · Physics 2012-01-17 D. A. Ivanov , M. A. Skvortsov , P. M. Ostrovsky , Ya. V. Fominov

This paper describes experiments utilizing a unique property of electron-glasses to gain information on the fundamental nature of the interacting Anderson-localized phase. The methodology is based on measuring the energy absorbed by the…

Strongly Correlated Electrons · Physics 2015-01-16 Z. Ovadyahu

Starting from Holstein's work on small polaron hopping, the evolution equations for localized and extended states in the presence of atomic vibrations are systematically derived for an amorphous semiconductor. The transition probabilities…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Ming-Liang Zhang , D. A. Drabold

We study the effect of system-bath coupling strength on quantum thermal transport through the interface of two weakly coupled anharmonic molecular chains using quantum self-consistent phonon approach. The heat current shows a resonant to…

Statistical Mechanics · Physics 2018-05-30 Dahai He , Juzar Thingna , Jianshu Cao

We investigate what happens if an Anderson localized system is coupled to a small bath, with a discrete spectrum, when the coupling between system and bath is specially chosen so as to never localize the bath. We find that the effect of the…

Disordered Systems and Neural Networks · Physics 2015-07-15 D. A. Huse , R. Nandkishore , F. Pietracaprina , V. Ros , A. Scardicchio

Anderson localization1 in a random system is sensitive to a distance dependence of the excitation transfer amplitude V(r). If V(r) decreases with the distance r slower than 1/r^d in a d-dimensional system then all excitations are…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander L. Burin

The possibility of using nanoelectromechanical systems as a simulation tool for quantum many-body effects is explored. It is demonstrated that an array of electrostatically coupled nanoresonators can effectively simulate the Bose-Hubbard…

In this work we formulate an efficient method for the description of many-body localized systems in weak contact with thermal environments at temperature $T$. For this purpose we exploit the representation of the system in terms of…

Disordered Systems and Neural Networks · Physics 2019-07-08 Ling-Na Wu , Alexander Schnell , Giuseppe De Tomasi , Markus Heyl , André Eckardt

We investigate the possibility of Many-Body Localization in translation invariant Hamiltonian systems, which was recently brought up by several authors. A key feature of Many-Body Localized disordered systems is recovered, namely the fact…

Statistical Mechanics · Physics 2015-06-19 Wojciech De Roeck , Francois Huveneers

We investigate the effect of vibrational degrees of freedom on the linear thermoelectric transport through a single-level quantum dot described by the spinless Anderson-Holstein impurity model. To study the effects of strong electron-phonon…

Strongly Correlated Electrons · Physics 2017-11-30 A. Khedri , V. Meden , T. A. Costi

Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

We introduce a variational wave-function to study the polaron formation when the electronic transfer integral depends on the relative displacement between nearest-neighbor sites giving rise to a non-local electron-phonon coupling with…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , E. Piegari , M. Capone , V. Cataudella

We analize electrical conductivity controlled by hopping of bound spin polarons in disordered solids with wide distributions of electron energies and polaron shifts (barriers). By means of percolation theory and Monte Carlo simulations we…

Materials Science · Physics 2009-11-07 M. Foygel , R. D. Morris , A. G. Petukhov

Phonon localization is a phenomenon that influences numerous material properties in condensed matter physics. Anderson localization brings rise to localized atomic-scale phonon interferences in disordered lattices with an influence limited…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Albert Beardo , Paul Desmarchelier , Chia-Nien Tsai , Prajit Rawte , Konstantinos Termentzidis , Mahmoud I. Hussein

The single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically and numerically that extended states may occur in the one- and…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Rodriguez , V. A. Malyshev , G. Sierra , M. A. Martin-Delgado , J. Rodriguez-Laguna , F. Dominguez-Adame

We have studied the non-ohmic effects in the conductivity of a two-dimensional system which undergoes the crossover from weak to strong localization with decreasing electron concentration. When the electrons are removed from equilibrium…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. E. Gershenson , Yu. B. Khavin , D. Reuter , P. Schafmeister , A. D. Wieck

In a disordered environment, the probability of transmission of a wave reduces with increasing disorder, the ultimate limit of which is the near-zero transmission due to Anderson localization. Under localizing conditions, transport is…

Disordered Systems and Neural Networks · Physics 2022-06-14 Himadri Sahoo , R Vijay , Sushil Mujumdar
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