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We solve the disordered Holstein model in three dimensions considering the phonon variables to be classical. After mapping out the phases of the `clean' strong coupling problem, we focus on the effect of disorder at strong electron-phonon…

Strongly Correlated Electrons · Physics 2009-11-10 Sanjeev Kumar , Pinaki Majumdar

We study the electromagnetic transmission $T$ through one-dimensional (1D) photonic heterostructures whose random layer thicknesses follow a long-tailed distribution --L\'evy-type distribution. Based on recent predictions made for 1D…

Systems with bond disorder are defined through lattice Hamiltonians that are of pure nearest neighbour hopping type, i.e. do not contain on-site contributions. Previous analyses based on the Dorokhov-Mello-Pereyra-Kumar (DMPK) transfer…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alexander Altland , Rainer Merkt

We present a statistical study of the transmission and dwell-time matrices in disordered media composed of resonators, focusing on how frequency detuning influences their eigenvalue distributions. Our analysis reveals that the distribution…

Optics · Physics 2024-12-02 Romain Rescanieres , Romain Pierrat , Arthur Goetschy

We study the statistics of the conductance $g$ through one-dimensional disordered systems where electron wavefunctions decay spatially as $|\psi| \sim \exp (-\lambda r^{\alpha})$ for $0 <\alpha <1$, $\lambda$ being a constant. In contrast…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Ilias Amanatidis , Ioannis Kleftogiannis , Fernando Falceto , Victor A. Gopar

We study the effects of disorders on the transport through small interacting systems based on a two-dimensional Hubbard cluster of finite size connected to two noninteracting leads. This system can be regarded as a model for the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Yoshihide Tanaka , Akira Oguri

We analyze a quantum dot strongly coupled to the conducting leads via quantum point contacts - Fano regime of transport - and report a variety of resonant states which demonstrate the dominance of the interacting resonances in the…

Mesoscale and Nanoscale Physics · Physics 2010-08-18 E. R. Racec , U. Wulf , P. N. Racec

Transport through a one-dimensional wire of interacting electrons connected to semi infinite leads is investigated using a bosonization approach. The dynamic nonlocal conductivity is rigorously expressed in terms of the transmission. For…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Inès Safi , H. J. Schulz

A systematic study of optical and transport properties of the Hubbard model, based on Metzner and Vollhardt's dynamical mean-field approximation, is reviewed. This model shows interesting anomalous properties that are, in our opinion,…

supr-con · Physics 2016-09-08 Th. Pruschke , M. Jarrell , J. K. Freericks

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich

We study charge transport in one-dimensional graphene superlattices created by applying layered periodic and disordered potentials. It is shown that the transport and spectral properties of such structures are strongly anisotropic. In the…

Mesoscale and Nanoscale Physics · Physics 2010-11-09 Yury P. Bliokh , Valentin Freilikher , Sergey Savel'ev , Franco Nori

Superconductivity in disordered systems close to an incipient localization transition has been an area of investigation for many years. It has been noted that in such highly disordered superconductors, anomalous spectral weight develops in…

The ratio between mobility and diffusion parameters is derived for a Gaussian-like density of states. This steady-state analysis is expected to be applicable to a wide range of organic materials (polymers or small molecules) as it relies on…

Statistical Mechanics · Physics 2007-05-23 Yohai Roichman , Nir Tessler

Random scattering of photons in disordered one-dimensional solids gives rise to an exponential suppression of transmission, which is known as Anderson localization. Here, we experimentally study Anderson localization in a superconducting…

Disorder plays a critical role in signal transport, by controlling the correlation of systems. In wave physics, disordered potentials suppress wave transport due to their localized eigenstates from random-walk scattering. Although the…

Optics · Physics 2016-10-18 Sunkyu Yu , Xianji Piao , Jiho Hong , Namkyoo Park

Disordered systems have grown in importance in the past decades, with similar phenomena manifesting themselves in many different physical systems. Because of the difficulty of the topic, theoretical progress has mostly emerged from…

Disordered Systems and Neural Networks · Physics 2014-10-09 Hui Khoon Ng , Berthold-Georg Englert

Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is homogeneous only in the limit of weak disorder (diffusive…

Disordered Systems and Neural Networks · Physics 2010-09-28 P. Markos

Based on a recent proposal [O.P. Sushkov, Phys. Rev. B 64, 155319 (2001)], we relate the quantum conductance through a sample in which electrons are strongly correlated to the persistent current of a large ring, composed of the sample and a…

Strongly Correlated Electrons · Physics 2009-11-07 Rafael A. Molina , Dietmar Weinmann , Rodolfo A. Jalabert , Gert-Ludwig Ingold , Jean-Louis Pichard

In a tight binding framework, we analyze the characteristics of electronic states in strongly disordered materials (hopping sites are placed randomly with no local order) with tunneling matrix elements decaying exponentially in the atomic…

Materials Science · Physics 2012-02-01 D. J. Priour

Renormalization of the Coulomb interaction in layered metals results in a strongly anisotropic plasma mode with low frequencies for small components of wave vector in the in-plane direction. Interaction of electrons with this mode was found…

Superconductivity · Physics 2007-05-23 S. N. Artemenko , S. V. Remizov