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We consider the transport of non-interacting electrons on two- and three-dimensional random Voronoi-Delaunay lattices. It was recently shown that these topologically disordered lattices feature strong disorder anticorrelations between the…

无序系统与神经网络 · 物理学 2015-12-01 Martin Puschmann , Philipp Cain , Michael Schreiber , Thomas Vojta

We investigate the probable delocalization-localization transition in open quantum systems with disorder. The disorder can induce localization in isolated quantum systems and it is generally recognized that localization is fragile under the…

无序系统与神经网络 · 物理学 2025-05-28 Xuanpu Yang , Xiang-Ping Jiang , Zijun Wei , Yucheng Wang , Lei Pan

Localization and delocalization of quantum diffusion in time-continuous one-dimensional Anderson model perturbed by the quasi-periodic harmonic oscillations of $M$ colors is investigated systematically, which has been partly reported by the…

无序系统与神经网络 · 物理学 2022-05-11 Hiroaki S. Yamada , Kensuke S. Ikeda

We numerically investigate the topological phase transition induced purely by disorder in a spring-mass chain. We employ two types of disorders - chiral and random types - to explore the interplay between topology and disorder. By tracking…

We study Anderson localization in disordered helical conductors that are obtained from one-dimensional conductors with spin-orbit interaction and a magnetic field, or from equivalent systems. We call such conductors "quasi-helical" because…

介观与纳米尺度物理 · 物理学 2013-03-05 Bernd Braunecker , Anders Ström , G. I. Japaridze

We examine the onset of Anderson localization in three-dimensional systems with structural disorder in the form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of…

无序系统与神经网络 · 物理学 2025-05-29 Sourav Bhattacharjee , Piotr Sierant , Marek Dudyński , Jan Wehr , Jakub Zakrzewski , Maciej Lewenstein

Uncorrelated disorder potential in one-dimensional lattice definitely induces Anderson localization, while quasiperiodic potential can lead to both localized and extended phases, depending on the potential strength. We investigate the…

无序系统与神经网络 · 物理学 2021-09-27 R. Wang , K. L. Zhang , Z. Song

We investigate the non-Abelian Thouless pumping in a disorder tunable Lieb chain with degenerate flat bands. The results reveal that quasiperiodic disorder will cause a topological phase transition from the trivial (without non-Abelian…

无序系统与神经网络 · 物理学 2024-04-30 Sen Huang , Yan-Qing Zhu , Zhi Li

We study the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group…

强关联电子 · 物理学 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske

We study a 1D system with a power-law quasiparticle dispersion $\propto |k|^\alpha\sign k$ in the presence of a short-range-correlated random potential and demonstrate that for $\alpha<1/2$ it exhibits a disorder-driven quantum phase…

介观与纳米尺度物理 · 物理学 2015-08-19 M. Garttner , S. V. Syzranov , A. M. Rey , V. Gurarie , L. Radzihovsky

The effect of Anderson diagonal disorder on the topological surface (``drumhead'') states of a Weyl nodal loop semimetal is addressed. Since diagonal disorder breaks chiral symmetry, a winding number cannot be defined. Seen as a…

无序系统与神经网络 · 物理学 2023-02-02 João Silva , Miguel A. N. Araújo , Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

We study the influence of disorder on the topological transition from a two-dimensional Dirac semi-metal to an insulating state. This transition is described as a continuous merging of two Dirac points leading to a semi-Dirac spectrum at…

介观与纳米尺度物理 · 物理学 2013-07-26 David Carpentier , Andrei A. Fedorenko , Edmond Orignac

In this paper we study the effect of positional randomness on transmissional properties of a two dimensional photonic crystal as a function of a randomness parameter $\alpha$ ($\alpha=0$ completely ordered, $\alpha=1$ completely…

其他凝聚态物理 · 物理学 2010-11-10 A. R. Hashemi , M. Hosseini-Farzad , Afshin Montakhab

We observe a singularity in the electronic properties of the Anderson Model of Localization with bounded diagonal disorder, which is clearly distinct from the well-established mobility edge (localization-delocalization transition) that…

无序系统与神经网络 · 物理学 2015-05-28 S. Johri , R. N. Bhatt

We report Anderson localization in two-dimensional optical waveguide arrays with disorder in waveguide separation introduced along one axis of the array, in an uncorrelated fashion for each waveguide row. We show that the anisotropic nature…

We study the phenomena of Anderson localization in the presence of nonlinear interaction on a lattice. A class of nonlinear Schrodinger models with arbitrary power nonlinearity is analyzed. We conceive the various regimes of behavior,…

混沌动力学 · 物理学 2015-06-19 Alexander V. Milovanov , Alexander Iomin

Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and…

介观与纳米尺度物理 · 物理学 2012-01-10 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

The robustness of topological properties, such as quantized currents, generally depends on the existence of gaps surrounding the relevant energy levels or on symmetry-forbidden transitions. Here, we observe quantized currents that survive…

介观与纳米尺度物理 · 物理学 2025-08-21 Emmanuel Gottlob , Dan S. Borgnia , Robert-Jan Slager , Ulrich Schneider

In two-dimensional topological insulators, a disorder induced topological phase transition is typically identified with an Anderson localization transition at the Fermi energy. However, in higher-order, spin-resolved topological insulators…

无序系统与神经网络 · 物理学 2024-03-07 Alexander C. Tyner , Cormac Grindall , J. H. Pixley

We introduce a one-dimensional lattice model whose hopping amplitudes are modulated for equally spaced sites. Such mosaic lattice exhibits many interesting topological and localization phenomena that do not exist in the regular off-diagonal…

无序系统与神经网络 · 物理学 2021-08-31 Qi-Bo Zeng , Rong Lü