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We report on the formation of critical states in disordered graphene, at the origin of variable and unconventional transport properties in the quantum Hall regime, such as a zero-energy Hall conductance plateau in the absence of an energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Nicolas Leconte , Frank Ortmann , Alessandro Cresti , Stephan Roche

Disorder, noise and interaction play a crucial role in the transport properties of real systems, but they are typically hard to control and study both theoretically and experimentally, especially in the quantum case. Here we explore a…

Quantum Gases · Physics 2013-09-12 C. D'Errico , M. Moratti , E. Lucioni , L. Tanzi , B. Deissler , M. Inguscio , G. Modugno , M. B. Plenio , F. Caruso

In this paper, we examine disorder (i.e. static imperfections in manufacture) for the fixed-Hamiltonian evolution protocol of quantum state transfer. We improve the performance by optimising the choice of Hamiltonian, and by implementing an…

Quantum Physics · Physics 2022-03-28 Catherine Keele , Alastair Kay

The impact of bound states in Landauer-Buttiker scattering approach to non-equilibrium quantum transport is investigated. We show that the noise power at frequency $\nu$ is sensitive to all bound states with energies $\omega_b$ satisfying…

Statistical Mechanics · Physics 2017-10-13 Mihail Mintchev , Luca Santoni , Paul Sorba

The nature of edge state transport in quantum Hall systems has been studied intensely ever since Halperin [1] noted its importance for the quantization of the Hall conductance. Since then, there have been many developments in the study of…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Casey Nosiglia , Jinhong Park , Bernd Rosenow , Yuval Gefen

We formulate a kinetic theory of quantum information scrambling in the context of a paradigmatic model of interacting electrons in the vicinity of a superconducting phase transition. We carefully derive a set of coupled partial differential…

Statistical Mechanics · Physics 2023-12-05 Camille Aron , Eric Brunet , Aditi Mitra

We investigate the effect of spatial disorder on the edge states localized at the interface between two topologically different regions. Rotation disorder can localize the quantum walk if it is strong enough to change the topology,…

Quantum Physics · Physics 2017-04-04 Alberto D. Verga

The effects of disorder and chaos on quantum many-body systems can be superficially similar, yet their interplay has not been sufficiently explored. This work finds a continuous phase transition when disorder breaks permutation symmetry,…

Quantum Physics · Physics 2026-05-28 Manju C , Arul Lakshminarayan , Uma Divakaran

We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Thomas Wellens , Benoit Gremaud

Disordered quantum networks, as those describing light-harvesting complexes, are often characterized by the presence of antenna structures where the light is captured and inner structures (reaction centers) where the excitation is…

Mesoscale and Nanoscale Physics · Physics 2015-08-10 Giulio G. Giusteri , G. Luca Celardo , Fausto Borgonovi

This article reviews the unconventional effects of random disorder on magnetic quantum phase transitions, focusing on a number of new experimental and theoretical developments during the last three years. On the theory side, we address…

Strongly Correlated Electrons · Physics 2014-08-26 Thomas Vojta

Teleportation of finite dimensional quantum states by a non-local entangled state is studied. For a generally given entangled state, an explicit equation that governs the teleportation is presented. Detailed examples and the roles played by…

Quantum Physics · Physics 2009-11-06 Sergio Albeverio , Shao-Ming Fei

The diffusion of electronic wave packets in one-dimensional systems with on-site, binary disorder is numerically investigated within the framework of a single-band tight-binding model. Fractal properties are incorporated by assuming that…

Disordered Systems and Neural Networks · Physics 2008-07-07 P. R. Wells , J. d'Albuquerque e Castro , S. L. A. de Queiroz

We theoretically investigate quantum transport properties of quantum anomalous Hall bilayers, with arbitrary ratio of lattice constants, i.e., with lattice mismatch. In the simplest case of ratio 1 (but with different model parameters in…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Yan Yu , Yan-Yang Zhang , Si-Si Wang , Ji-Huan Guan , Xiaotian Yang , Yang Xia , Shu-Shen Li

Disorder plays a critical role in signal transport, by controlling the correlation of systems. In wave physics, disordered potentials suppress wave transport due to their localized eigenstates from random-walk scattering. Although the…

Optics · Physics 2016-10-18 Sunkyu Yu , Xianji Piao , Jiho Hong , Namkyoo Park

Coherent quantum phenomena can only emerge when decoherence is minimized, and mastery over decoherence is technologically crucial for designing and operating functional quantum devices. However, its microscopic mechanisms in…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Xian-Peng Zhang , Yan-Qing Feng , Haiwen Liu , Wanxiang Feng , Yugui Yao

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

A simple statistical model for the effects of dephasing on electron transport in one-dimensional quantum systems is introduced, which allows to adjust the degree of phase and momentum randomization independently. Hence, the model is able to…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Thomas Stegmann , Matías Zilly , Orsolya Ujsághy , Dietrich E. Wolf

Impurities, defects, and other types of imperfections are ubiquitous in realistic quantum many-body systems and essentially unavoidable in solid state materials. Often, such random disorder is viewed purely negatively as it is believed to…

Strongly Correlated Electrons · Physics 2019-03-21 Thomas Vojta

The macroscopic transport properties in a disordered potential, namely diffusion and weak/strong localization, closely depend on the microscopic and statistical properties of the disorder itself. This dependence is rich of counter-intuitive…

Disordered Systems and Neural Networks · Physics 2013-07-09 Marie Piraud , Luca Pezzé , Laurent Sanchez-Palencia
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