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The effects of dynamic localization in a solid-state system -- a quantum dot -- are considered. The theory of weak dynamic localization is developed for non-interacting electrons in a closed quantum dot under arbitrary time-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 V. E. Kravtsov

The weak localization (WL) contribution to the two-level correlation function is calculated for two-dimensional disordered conductors. Our analysis extends to the nondiffusive (ballistic) regime, where the elastic mean path is of order of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Assaf Ater , Oded Agam

Quantum kicked rotor was recently realized in experiments with cold atomic gases and standing optical waves. As predicted, it exhibits dynamical localization in the momentum space. Here we consider the weak localization regime concentrating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. Tian , A. Kamenev , A. Larkin

We have studied the phenomenon of weak localization in multi-quantum-well (MQW) structures in the regime of weak tunneling, when superlattice minibands are not formed. We have calculated the effect of weak localization on conductivity,…

Condensed Matter · Physics 2007-05-23 F. G. Pikus , G. E. Pikus

A weak-localization effect has been studied in macroscopically inhomogeneous 2D system. It is shown, that although the real phase breaking length tends to infinity when the temperature tends to zero, such a system can reveal a saturated…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Germanenko , G. M. Minkov , O. E. Rut

We examine the consequences of classical ergodicity for the localization properties of individual quantum eigenstates in the classical limit. We note that the well known Schnirelman result is a weaker form of quantum ergodicity than the one…

chao-dyn · Physics 2009-08-14 L. Kaplan , E. J. Heller

We consider the phenomenon of weak localization of a short wave pulse in a quasi-1D disordered waveguide. We show that the long-time decay of the average transmission coefficient is not purely exponential, in contradiction with predictions…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov , B. A. van Tiggelen

Results of experimental study of the weak localization phenomenon in 2D system with artificial inhomogeneity of potential relief are presented. It is shown that the shape of the magnetoconductivity curve is determined by the statistics of…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , A. A. Sherstobitov , A. V. Germanenko , O. E. Rut

Theory of weak localization is developed for electrons in semiconductor quantum wells grown along [110] and [111] crystallographic axes. Anomalous conductivity correction caused by weak localization is calculated for symmetrically doped…

Mesoscale and Nanoscale Physics · Physics 2014-09-05 F. V. Porubaev , L. E. Golub

A short quasi-monochromatic wave packet incident on a semi-infinite disordered medium gives rise to a reflected wave. The intensity of the latter decays as a power law $1/t^{\alpha}$ in the long-time limit. Using the one-dimensional…

Disordered Systems and Neural Networks · Physics 2018-03-14 Sergey E. Skipetrov , Aritra Sinha

Theory of weak localization is developed for two-dimensional holes in semiconductor heterostructures. Ballistic regime of weak localization where the backscattering occurs from few impurities is studied with account for anisotropic momentum…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 F. V. Porubaev , L. E. Golub

The one-parameter scaling theory of localization predicts that all states in a disordered two-dimensional system with broken time reversal symmetry are localized even in the presence of strong spin-orbit coupling. While at constant strong…

Disordered Systems and Neural Networks · Physics 2017-06-27 Ying Su , C. Wang , Y. Avishai , Yigal Meir , X. R. Wang

Collective transport through a multichannel disordered conductor in contact with charge-density-wave electrodes is theoretically investigated. The statistical distribution function of the threshold potential for charge-density wave sliding…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Mark I. Visscher , Behzad Rejaei , Gerrit E. W. Bauer

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

Long-time tails, or algebraic decay of time-correlation functions, have long been known to exist both in many-body systems and in models of non-interacting particles in the presence of quenched disorder that are often referred to as Lorentz…

Disordered Systems and Neural Networks · Physics 2024-11-14 T. R. Kirkpatrick , D. Belitz

We study the hopping transport of a quantum particle through randomly diluted percolation clusters in two dimensions realized both on the square and triangular lattices. We investigate the nature of localization of the particle by…

Disordered Systems and Neural Networks · Physics 2007-09-27 Md Fhokrul Islam , Hisao Nakanishi

We extend the static theory of disorder-induced exponential decay of the averaged Green function of a quantum charged particle in a classical one-component plasma to the dynamic regime by incorporating the temporal evolution of the ionic…

Statistical Mechanics · Physics 2026-05-19 Yury A. Budkov

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Steinberg , O. M. Auslaender , A. Yacoby , J. Qian , G. A. Fiete , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We study the asymptotics of the Schr\"odinger equation with time-dependent potential in dimension one. Assuming that the potential decays sufficiently rapidly as $|x| \to \infty$, we prove that the solution can be written as the sum of a…

Analysis of PDEs · Mathematics 2025-12-30 Gavin Stewart , Avy Soffer

We study the dynamical localization of discrete time evolution of topological split-step quantum random walk (QRW) on a single-site defect starting from a uniform distribution. Using analytical and numerical calculations, we determine the…

Quantum Physics · Physics 2025-02-14 D. O. Oriekhov , Guliuxin Jin , Eliska Greplova
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