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In the Coulomb blockade regime of a ballistic quantum dot, the distribution of conductance peak spacings is well known to be incorrectly predicted by a single-particle picture; instead, matrix element fluctuations of the residual electronic…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 L. Kaplan

Universal nonequilibrium properties of isolated quantum systems are typically probed by studying transport of conserved quantities, such as charge or spin, while transport of energy has received considerably less attention. Here, we study…

Statistical Mechanics · Physics 2023-03-09 Marko Ljubotina , Jean-Yves Desaules , Maksym Serbyn , Zlatko Papić

Due to the peculiar non-fermi liquid of one dimensional systems, disorder has particularly strong effects. We show that such systems belong to the more general class of disordered quantum solids. We discuss the physics of such disordered…

Strongly Correlated Electrons · Physics 2007-05-23 T. Giamarchi , E. Orignac

Even though the integer quantum Hall transition has been investigated for nearly four decades its critical behavior remains a puzzle. The best theoretical and experimental results for the localization length exponent $\nu$ differ…

Disordered Systems and Neural Networks · Physics 2019-03-20 Martin Puschmann , Philipp Cain , Michael Schreiber , Thomas Vojta

We analyse in detail Mott's variable range hopping in one dimension, expanding on earlier work by Raikh and Ruzin. We show that the large conductance fluctuations in disordered insulators result from a subtle interplay between purely…

Condensed Matter · Physics 2009-10-22 François Ladieu , Jean-Philippe Bouchaud

In this work we theoretically study properties of electric current driven by a temperature gradient through a quantum dot/molecule coupled to the source and drain charge reservoirs. We analyze the effect of Coulomb interactions between…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Natalya A. Zimbovskaya

Disorder or quasi-disorder is known to favor the localization in many-body Bose systems. Here in contrast, we demonstrate an anomalous delocalization effect induced by incommensurability in quasiperiodic lattices. Loading ultracold atoms in…

We investigate the dynamics of a quantum particle in disordered tight-binding models in one and two dimensions which are exceptions to the common wisdom on Anderson localization, in the sense that the localization length diverges at some…

Disordered Systems and Neural Networks · Physics 2015-03-17 P. L. Krapivsky , J. M. Luck

The fluctuations and the distribution of the conductance peak spacings of a quantum dot in the Coulomb-blockade regime are studied and compared with the predictions of random matrix theory (RMT). The experimental data were obtained in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 F. Simmel , T. Heinzel , D. A. Wharam

We present a numerical study on the light transport properties which are modulated by the disorder strength in quasi-one-dimensional disordered waveguide which consists of periodically arranged scatterers with random dielectric constant.…

Optics · Physics 2017-03-22 Yuchen Xu , Hao Zhang , Yujun Lin , Heyuan Zhu

The nonequilibrium transfer of the energy between electrons of counter-propagating quasi-one-dimensional systems has been perturbatively calculated for edge channels in a two-dimensional system in the integer quantum Hall effect. The…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 M. G. Prokudina , V. S. Khrapai

We explore the charge transport mechanism in organic semiconductors based on a model that accounts for the thermal intermolecular disorder at work in pure crystalline compounds, as well as extrinsic sources of disorder that are present in…

Materials Science · Physics 2012-12-10 S. Ciuchi , S. Fratini

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

Disordered Systems and Neural Networks · Physics 2026-01-06 Jake S. Bobowski

The study of electron motion in semiconductor billiards has elucidated our understanding of quantum interference and quantum chaos. The central assumption is that ionized donors generate only minor perturbations to the electron…

We study the signatures of disorder in the production of orbital electron entanglement in quantum wires. Disordered entanglers suffer the effects of localization of the electron wave function and random fluctuations in the entanglement…

Mesoscale and Nanoscale Physics · Physics 2014-03-07 Alberto Aleta , Héctor Villarubia-Rojo , Diego Frustaglia , Víctor A. Gopar

We analyze a one-dimensional quantum model with off-diagonal disorder, consisting of a sequence of potential energy barriers whose width is a random variable either uniformly or "half-normally" distributed, subjected to an external electric…

Statistical Mechanics · Physics 2015-06-15 Matteo Colangeli , Marco Pizzi , Lamberto Rondoni

An effective field theory is derived for the ferromagnetic transition of diffusive electrons at T=0. The static disorder which leads to diffusive electron dynamics induces an effective long-range interaction between the spins of the form…

Statistical Mechanics · Physics 2016-08-31 D. Belitz , T. R. Kirkpatrick

We obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities, x,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

Using the random matrix theory, we investigate the ensemble statistics of edge transport of a quantum spin Hall insulator with multiple edge states in the presence of quenched disorder. Dorokhov-Mello-Pereyra-Kumar equation applicable for…

Mesoscale and Nanoscale Physics · Physics 2009-06-03 Dafang Li , Junren Shi

Using the tools of random matrix theory we develop a statistical analysis of the transport properties of thermoelectric low-dimensional systems made of two electron reservoirs set at different temperatures and chemical potentials, and…

Mesoscale and Nanoscale Physics · Physics 2016-08-23 Adel Abbout , Henni Ouerdane , Christophe Goupil