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We demonstrate that a weak disorder in atomic positions introduces spatially localized optical modes in a dense three-dimensional ensemble of immobile two-level atoms arranged in a diamond lattice and coupled by the electromagnetic field.…

Disordered Systems and Neural Networks · Physics 2020-10-21 S. E. Skipetrov

We investigate, assess, and suggest possibilities for a measurement of the local spin susceptibility of a conducting low-dimensional electron system. The basic setup of the experiment we envisage is a source-probe one. Locally induced spin…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Peter Stano , Jelena Klinovaja , Amir Yacoby , Daniel Loss

We consider d dimensional systems which are localized in the absence of interactions, but whose single particle (SP) localization length diverges near a discrete set of (single-particle) energies, with critical exponent \nu. This class…

Statistical Mechanics · Physics 2014-11-19 Rahul Nandkishore , Andrew C. Potter

Electrons on a square lattice with half a flux quantum per plaquette are considered. An effective description for the current loops is given by a two-dimensional Dirac theory with random mass. It is shown that the conductivity and the…

Condensed Matter · Physics 2009-10-28 K. Ziegler

Recent advances in spin-dependent optical lattices [Meng et al., Nature \textbf{615}, 231 (2023)] have enabled the experimental implementation of two superimposed three-dimensional lattices, presenting new opportunities to investigate…

Quantum Gases · Physics 2025-04-04 Ce Wang , Chao Gao , Zhe-Yu Shi

The magnetoresistance of a low carrier density, disordered GaAs based two-dimensional (2D) electron gas has been measured in parallel magnetic fields up to 32 T. The feature in the resistance associated with the complete spin polarization…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 B. A. Piot , D. K. Maude , U. Gennser , A. Cavanna , D. Mailly

A random-matrix theory is presented which shows that breaking time-reversal symmetry by itself does {\em not} suppress the weak-localization correction to the conductance of a disordered metal wire attached to a superconductor. Suppression…

Condensed Matter · Physics 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

Unusually large spontaneous and piezoelectric fields in the III-V nitrides have led to the making of an entirely new class of two-dimensional electron gas. Fluctuation from a perfectly periodic binary structure in highly polar semiconductor…

Materials Science · Physics 2009-10-31 Debdeep Jena , Arthur. C. Gossard , Umesh. K. Mishra

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

In the paper the dynamic localization of charged particle (electron) in a quantum wire under the external non-uniform time-dependent electric field is considered. The electrons are trapped in a deep 'dynamic' quantum wells which are the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Igor Tralle

Using suitable magnetic flux operators established in terms of discrete derivatives leads to quantum-mechanical descriptions of LC-circuits with an external time dependent periodic voltage. This leads to second order discrete Schrodinger…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Micu , E. Papp , L. Aur

We report transport measurements on superconducting wire networks which provide the first experimental evidence of a new localization phenomenon induced by magnetic field on a 2D periodic structure. In the case of a superconducting wave…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. C. Abilio , P. Butaud , Th. Fournier , J. Vidal , S. Tedesco , B. Dalzotto , B. Pannetier

We present a semiclassical theory for electron drag between two parallel two-dimensional electron systems in a strong magnetic field, which provides a transparent picture of the most salient qualitative features of anomalous drag phenomena…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sergej Brener , Walter Metzner

We investigate the localization of electrons hopping on quasi-1D strips in the presence of random magnetic field. In the weak-disorder region, by perturbative analytical techniques, we derive scaling laws for the localization length,…

Condensed Matter · Physics 2009-10-28 Yakov Rutman , Mario Feingold , Yshai Avishai

A one-dimensional boundary of a two-dimensional topological superconductor can host a number of topologically protected chiral modes. Combining two topological superconductors with different topological indices, it is possible to achieve a…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Daniil S. Antonenko , Eslam Khalaf , Pavel M. Ostrovsky , Mikhail A. Skvortsov

Using the method of energy-level statistics, the localization properties of electrons moving in two dimensions in the presence of a perpendicular random magnetic field and additional random disorder potentials are investigated. For this…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Batsch , L. Schweitzer , B. Kramer

Accumulation layers with very large concentrations of electrons where many subbands are filled became recently available due to ionic liquid and other new methods of gating. The low temperature mobility in such layers is limited by the…

Mesoscale and Nanoscale Physics · Physics 2016-07-08 Han Fu , K. V. Reich , B. I. Shklovskii

We demonstrate, by solving numerically the time-dependent Schroedinger equation, the physical character of electron localization in a disordered two-dimensional lattice. We show, in agreement with the prediction of P. W. Anderson, that the…

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

We discuss the influence of the electromagnetic environment and the electron-electron interaction on the weak localization correction to the conductivity of a disordered metal. The theory of this phenomenon for sufficiently high…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Maxim Vavilov , Vinay Ambegaokar

We study in this paper the localization of light and the dielectric properties of thin metal-dielectric composites at the percolation threshold and around a resonant frequency where the conductivities of the two components are of the same…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. Zekri , R. Bouamrane , N. Zekri , F. Brouers