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The Anderson localization of thermal phonons has been shown only in few nano-structures with strong random disorder by the exponential decay of transmission to zero and a thermal conductivity maximum when increasing system length. In this…

Mesoscale and Nanoscale Physics · Physics 2021-09-20 Yangyu Guo , Marc Bescond , Zhongwei Zhang , Shiyun Xiong , Kazuhiko Hirakawa , Masahiro Nomura , Sebastian Volz

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study transport of interacting electrons in a low-dimensional disordered system at low temperature $T$. In view of localization by disorder, the conductivity $\sigma(T)$ may only be non-zero due to electron-electron scattering. For weak…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

In a one dimensional lattice thermal fluctuations destroy the long-range order making particles of the lattice move on a scale much larger than the lattice spacing. We discuss the assumption that this motion may be responsible for the…

Soft Condensed Matter · Physics 2015-05-13 A. V. Plyukhin

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We suggest that if a localized phase at nonzero temperature $T>0$ exists for strongly disordered and weakly interacting electrons, as recently argued, it will also occur when both disorder and interactions are strong and $T$ is very high.…

Strongly Correlated Electrons · Physics 2009-11-11 Vadim Oganesyan , David A. Huse

We study, at zero temperature, the dynamics of a single electron in a Holstein model augmented by site-diagonal, binary-alloy type disorder. The average over the phonon vacuum and the alloy configurations is performed within a generalized…

Strongly Correlated Electrons · Physics 2009-11-07 F. X. Bronold , A. Saxena , A. R. Bishop

Phonon measurements in the A15-type superconductors were complicated in the past because of the unavailability of large single crystals for inelastic neutron scattering, e.g., in the case of Nb$_3$Sn, or unfavorable neutron scattering…

Superconductivity · Physics 2019-04-19 A. Sauer , D. A. Zocco , A. H. Said , R. Heid , A. Böhmer , F. Weber

We show that in presence of a deformable lattice potential, the nature of the disorder-driven metal-insulator transition (MIT) is fundamentally changed with respect to the non-interacting (Anderson) scenario. For strong disorder, even a…

Disordered Systems and Neural Networks · Physics 2017-01-25 Domenico Di Sante , Simone Fratini , Vladimir Dobrosavljević , Sergio Ciuchi

We provide a comprehensive solution to the lattice dynamics problem in the two dimensional Holstein model at finite electron density and finite temperature. We work in the physically relevant adiabatic regime and vary the electron-phonon…

Strongly Correlated Electrons · Physics 2020-02-12 Sauri Bhattacharyya , Saurabh Pradhan , Pinaki Majumdar

Nonequilibrium electron distribution in a superlattice subjected to a homogeneous electric field (biased superlattice with equipopulated levels) is studied within the tight-binding approximation, taking into account the scattering by…

Materials Science · Physics 2015-05-13 A. Hernandez-Cabrera , P. Aceituno , F. T. Vasko

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 investigate the effect of coupling Anderson localized particles in one dimension to a system of marginally localized phonons having a symmetry protected delocalized mode at zero frequency. This situation is naturally realized for…

Disordered Systems and Neural Networks · Physics 2016-03-21 Sumilan Banerjee , Ehud Altman

We study the impact of phonon anharmonicity on the electronic dynamics of soft materials using a nonperturbative quantum-classical approach. The method is applied to a one-dimensional model of doped organic semiconductors with low-frequency…

Materials Science · Physics 2025-09-24 Jonathan H. Fetherolf , Petra Shih , Timothy C. Berkelbach

We investigate the ultrafast dynamics of photo-induced non-thermal lattice disorder in a polycrystalline aluminium thin film to elucidate transient short- and long-range lattice distortions, their thermalization and electron-phonon coupling…

Materials Science · Physics 2026-01-06 Fernando Rodriguez Diaz , Kasra Amini

Based on the statistical dynamical mean field theory, we investigate, in a generic model for a strongly coupled disordered electron-phonon system, the competition between polaron formation and Anderson localization. The statistical…

Strongly Correlated Electrons · Physics 2007-05-23 Franz X. Bronold , Andreas Alvermann , Holger Fehske

We study the non-equilibrium diffusion dynamics of supersonic lattice solitons in a classical chain of atoms with nearest-neighbor interactions coupled to a heat bath. As a specific example we choose an interaction with cubic anharmonicity.…

Soft Condensed Matter · Physics 2009-11-07 Edward Arevalo , Franz G. Mertens , Yuri Gaididei , A. R. Bishop

In this paper we propose that phonons, free diffusive electrons, and diffusion in two-and three--dimensional disordered lattice problems belong to a different class of localization than bonded electrons. This is manifested by three effects…

Disordered Systems and Neural Networks · Physics 2007-05-23 Barak Galanti , Zeev Olami

In this paper, we study non-interacting bosons in a disordered one-dimensional optical lattice in a harmonic potential. We consider the case of deterministic disorder produced by an Aubry-Andr\'{e} potential. Using exact diagonalization, we…

Quantum Gases · Physics 2015-06-12 R. Ramakumar , A. N. Das

The effect of disorder on lattice vibrational modes has been a topic of interest for several decades. In this work, we employ a Green's function based approach, namely the dynamical cluster approximation (DCA), to investigate phonons in…

Disordered Systems and Neural Networks · Physics 2019-05-15 Wasim Raja Mondal , T. Berlijn , Juana Moreno , M. Jarrell , N. S. Vidhyadhiraja
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