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Related papers: Anisotropy-mediated reentrant localization

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Bifractal is a highly anisotropic structure where planar fractals are stacked to form a 3-dimensional lattice. The localization lengths along fractal structure for the Anderson model defined on a bifractal are calculated. The critical…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 P. H. Song , Doochul Kim

We present magnetotransport results for a 2D electron gas (2DEG) subject to the quasi-random magnetic field produced by randomly positioned sub-micron Co dots deposited onto the surface of a GaAs/AlGaAs heterostructure. We observe strong…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. W. Rushforth , B. L. Gallagher , P. C. Main , A. C. Neumann , M. Henini , C. H. Marrows , B. J. Hickey

We present the eigenmodal analysis techniques enhanced towards calculations of optical and non-interacting Bose-Einstein condensate (BEC) modes formed by random potentials and localized by Anderson effect. The results are compared with the…

Quantum Gases · Physics 2019-03-04 Guanwen Ying , Guennadi Kouzaev

We investigate spin-1/2 electrons with local Hubbard interaction and variable range hopping amplitudes which decay like~$\sinh(\kappa)/\sinh(\kappa r)$. Assuming integrability the Asymptotic Bethe Ansatz approach allows us to derive the…

Condensed Matter · Physics 2012-07-07 F. Gebhard , P. -A. Bares

Sub-dimensional localization, also known as directional localization, arises when 2d electrons are subject to a periodic potential and incommensurate magnetic field which cause them to become exponentially localized along one crystal axis,…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Nisarga Paul , Philip J. D. Crowley

We present a theory for the number fluctuations of a quasi-two-dimensional (quasi-2D) dipolar Bose-Einstein condensate measured with finite resolution cells. We show that when the dipoles are tilted to have a component parallel to the plane…

Quantum Gases · Physics 2015-01-14 D. Baillie , R. N. Bisset , C. Ticknor , P. B. Blakie

We study the effect of Anderson localization on the expansion of a Bose-Einstein condensate, released from a harmonic trap, in a 3D random potential. We use scaling arguments and the self-consistent theory of localization to show that the…

Disordered Systems and Neural Networks · Physics 2008-04-28 S. E. Skipetrov , A. Minguzzi , B. A. van Tiggelen , B. Shapiro

For the weakly interacting one-dimensional multi-particle Anderson model in the continuum space of configurations, we prove the spectral exponential and the strong dynamical localization. The results require the interaction amplitude to be…

Mathematical Physics · Physics 2016-12-04 Trésor Ekanga

Localization of electronic states in disordered thin layered systems with b layers is studied within the Anderson model of localization using the transfer-matrix method and finite-size scaling of the inverse of the smallest Lyapunov…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Z. Cerovski , R. K. Brojen Singh , M. Schreiber

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

Impurities play an important role during recombination processes in semiconductors. Their important role is sharpened in atomically-thin transition-metal dichalcogenides whose two-dimensional character renders electrons and holes highly…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 Dinh Van Tuan , Hanan Dery

A re-entrant localization transition has been predicted recently in a one-dimensional quasiperiodic lattice with dimerized hopping between the nearest-neighbour sites (Phys. Rev. Lett. {\bf 126} 106803 (2021)) \cite{PhysRevLett.126.106803}.…

Disordered Systems and Neural Networks · Physics 2022-06-22 Shilpi Roy , Sourav Chattopadhyay , Tapan Mishra , Saurabh Basu

We consider the impact of anisotropic nonlocality on the arrest of the collapse and stabilization of dipole-mode (DM) solitons in two-dimensional (2D) models of optical media with the diffusive nonlinearity. The nonlocal nonlinearity is…

Optics · Physics 2015-05-18 Fangwei Ye , Boris A. Malomed , Yingji He , Bambi Hu

In this study, we investigate Anderson localization in a one-dimensional lattice with a mosaic off-diagonal quasiperiodic hopping. Our findings reveal that the localization behavior of zero-energy states is highly dependent on the parity of…

Disordered Systems and Neural Networks · Physics 2025-04-04 Yi-Cai Zhang , Rong Yuan , Shuwei Song , Mingpeng Hu , Chaofei Liu , Yongjian Wang

In an isolated single-particle quantum system a spatial disorder can induce Anderson localization. Being a result of interference, this phenomenon is expected to be fragile in the face of dissipation. Here we show that dissipation can drive…

Disordered Systems and Neural Networks · Physics 2017-02-22 I. Yusipov , T. Laptyeva , S. Denisov , M. Ivanchenko

The recently discovered anisotropy of the longitudinal resistance of two-dimensional electrons near half filling of high Landau levels is found to persist to much higher temperatures T when a large in-plane magnetic field B|| is applied.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. B. Cooper , M. P. Lilly , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We show persistence of both Anderson and dynamical localization in Schr\"odinger operators with non-positive (attractive) random decaying potential. We consider an Anderson-type Schr\"odinger operator with a non-positive ergodic random…

Mathematical Physics · Physics 2013-02-26 Alexander Figotin , François Germinet , Abel Klein , Peter Müller

We study the dynamics of a one-dimensional spin-orbit coupled Schrodinger particle with two internal components moving in a random potential. We show that this model can be implemented by the interaction of cold atoms with external lasers…

Quantum Gases · Physics 2012-08-07 M. J. Edmonds , J. Otterbach , R. G. Unanyan , M. Fleischhauer , M. Titov , P. Ohberg

We study spectral and wavefunction statistics for many-body localization transition in systems with long-range interactions decaying as $1/r^\alpha$ with an exponent $\alpha$ satisfying $ d \le \alpha \le 2d$, where $d$ is the spatial…

Disordered Systems and Neural Networks · Physics 2018-06-26 K. S. Tikhonov , A. D. Mirlin

We report on the observation of suppression and revival of coherent backscattering of ultra-cold atoms launched in an optical disorder and submitted to a short dephasing pulse, as proposed in a recent paper of T. Micklitz \textit{et al.}…