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The quantum Hall effect arises from the interplay between localized and extended states that form when electrons, confined to two dimensions, are subject to a perpendicular magnetic field. The effect involves exact quantization of all the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Ilani , J. Martin , E. Teitelbaum , J. H. Smet , D. Mahalu , V. Umansky , A. Yacoby

A long skinny gate across a fractional quantum Hall fluid at filling $\nu=1/m$ with odd integer $m$, creates a novel one-dimensional (1d) system which is isomorphic to a disordered 1d electron gas with {\it attractive} interactions. By…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher

The interplay of superconductivity and disorder generates a wealth of complex phenomena. In particular, the peculiar structure of diffusive electronic wavefunctions is predicted to increase the superconducting critical temperature in some…

Superconductivity · Physics 2023-05-17 Mathieu Lizée , Matthias Stosiek , Christophe Brun , Igor Burmistrov , Tristan Cren

It is shown in this paper that for open systems, states which are localized in space, discrete in energy, and embedded in the continuum of extended states, can be sustained by low-dimensional and channeled leads. These states have an origin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Khee-Kyun Voo , C. S. Chu

Localization properties of quasi-one dimensional quantum wire nanostructures are investigated using the transfer matrix-Lyapunov exponent technique. We calculate the localization length as a function of the effective mean-field mobility…

Condensed Matter · Physics 2016-08-31 Dongzi Liu , S. Das Sarma

The localization behavior of noninteracting two-dimensional electrons in a random potential and strong magnetic field is of fundamental interest for the physics of the quantum Hall effect. In order to understand the emergence of power-law…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Joel E. Moore , A. Zee , Jairo Sinova

We study localization in two- and three channel quasi-1D systems using multichain tight-binding Anderson models with nearest-neighbour interchain hopping. In the three chain case we discuss both the case of free- and that of periodic…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. Heinrichs

Using a finite-size scaling method, we calculate the localization properties of a disordered two-dimensional electron system in the presence of a random magnetic field. Below a critical energy $E_c$ all states are localized and the…

Condensed Matter · Physics 2009-10-22 D. Z. Liu , X. C. Xie , S. Das Sarma , S. C. Zhang

A spin-1/2 magnetic impurity coupled to a one-dimensional correlated electron system have been studied by applying the density renormalization group method. The Kondo temperature is substantially enhanced by strong repulsive interactions in…

Strongly Correlated Electrons · Physics 2009-10-30 Xiaoqun Wang

Dynamical conductivity in a disordered one-dimensional model of interacting fermions is studied numerically at high temperatures and in the weak-interaction regime in order to find a signature of many-body localization and vanishing d.c.…

Strongly Correlated Electrons · Physics 2015-05-19 O. S. Barišić , P. Prelovšek

We simulate scanning probe imaging of the local density of states related to scattering Fermi level wave functions inside a resonant cavity. We calculate potential landscape within the cavity taking into account the Coulomb charge of the…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 K. Kolasinski , B. Szafran

Mathematical analysis of the Anderson localization has been facilitated by the use of suitable fractional moments of the Green function. Related methods permit now a readily accessible derivation of a number of physical manifestations of…

Condensed Matter · Physics 2009-10-28 M. Aizenman , G. M. Graf

We consider the electronic structure near vacancies in the half-filled honeycomb lattice. It is shown that vacancies induce the formation of localized states. When particle-hole symmetry is broken, localized states become resonances close…

Materials Science · Physics 2007-05-23 Vitor M. Pereira , F. Guinea , J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

We consider a two-dimensional electron gas interacting with a quantized cavity mode. We find that the coupling between the electrons and the photons in the cavity enhances the superconducting gap. Crucially, all terms in the Peierls phase…

Mesoscale and Nanoscale Physics · Physics 2025-01-09 Valerii K. Kozin , Even Thingstad , Daniel Loss , Jelena Klinovaja

A completely opposite behavior of electronic localization is revealed in a spatially non-uniform disordered material compared to the traditional spatially uniform disordered one. This fact is substantiated by considering an order-disorder…

Mesoscale and Nanoscale Physics · Physics 2018-12-11 Madhuparna Banerjee , Baisakhi Mal , Santanu K. Maiti

Recently, a series of noncentrosymmetric superconductors has been a subject of considerable interest since the discovery of superconductivity in CePt_3Si. In noncentrosymmetric materials, the degeneracy of bands is lifted in the presence of…

Strongly Correlated Electrons · Physics 2013-01-29 Takashi Yanagisawa

We present the results of local tunneling conductivity spatial distribution detailed theoretical investigations in vicinity of impurity atom for a wide range of applied bias voltage. We observed Fano resonance in tunneling conductivity…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 V. N. Mantsevich , N. S. Maslova

We study the photon-photon correlation properties of two-photon transport in a one-dimensional waveguide coupled to a nonlinear cavity via a real-space approach. It is shown that the intrinsic dissipation of the nonlinear cavity has an…

Quantum Physics · Physics 2014-09-24 Xun-Wei Xu , Yong Li

We study the onset of localization from excited states of trapped Bose- Einstein Condensates expanding in presence of Gaussian uncorrelated random disorder. In 1D systems, we observe that for a fixed ratio between the disorder strength and…

Quantum Gases · Physics 2017-03-07 M. Pons , A. Sanpera

We study Anderson localization of single particles in continuous, correlated, one-dimensional disordered potentials. We show that tailored correlations can completely change the energy-dependence of the localization length. By considering…

Disordered Systems and Neural Networks · Physics 2013-03-28 Marie Piraud , Laurent Sanchez-Palencia
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