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We study localization properties of a one-dimensional disordered system characterized by a random non-hermitean hamiltonian where both the randomness and the non-hermiticity arises in the local site-potential; its real part being random,…

无序系统与神经网络 · 物理学 2015-06-25 Asok K. Sen

We study the transport and spectral properties of a non-Hermitian one-dimensional disordered lattice, the diagonal matrix elements of which are random complex variables taking both positive (loss) and negative (gain) imaginary values: Their…

无序系统与神经网络 · 物理学 2021-03-16 A. F. Tzortzakakis , K. G. Makris , A. Szameit , E. N. Economou

Quantum transport through disordered structures is inhibited by (Anderson) localization effects. The disorder can be either topological as in random networks or energetical as in the original Anderson model. In both cases the eigenstates of…

统计力学 · 物理学 2016-02-23 Oliver Muelken

Anderson localization is the ubiquitous phenomenon of inhibition of transport of classical and quantum waves in a disordered medium. In dimension one, it is well known that all states are localized, implying that the distribution of an…

无序系统与神经网络 · 物理学 2022-06-14 Clément Hainaut , Jean-François Clément , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

Electron transport through disordered quasi one-dimensional quantum systems is studied. Decoherence is taken into account by a spatial distribution of virtual reservoirs, which represent local interactions of the conduction electrons with…

量子物理 · 物理学 2014-02-06 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

Using the supersymmetry technique, we study the localization-delocalization transition in quasi-one-dimensional non-Hermitian systems with a direction. In contrast to chains, our model captures the diffusive character of carriers' motion at…

无序系统与神经网络 · 物理学 2009-10-31 A. V. Kolesnikov , K. B. Efetov

In disordered Hermitian systems, localization of energy eigenstates prohibits wave propagation. In non-Hermitian systems, however, wave propagation is possible even when the eigenstates of Hamiltonian are exponentially localized by…

量子物理 · 物理学 2025-08-29 Bo Li , Chuan Chen , Zhong Wang

We analyze the scattering dynamics and spectrum of a quantum particle on a tight-binding lattice subject to a non-Hermitian (purely imaginary) local potential. The reflection, transmission and absorption coefficients are studied as a…

量子物理 · 物理学 2020-07-20 Phillip C. Burke , Jan Wiersig , Masudul Haque

When one applies a type of non-Hermitian effect, constant imaginary vector potential, to disordered systems, delocalization is induced even in two or lower dimension. By using the non-Hermitian induced transition as a probe, We propose a…

无序系统与神经网络 · 物理学 2017-10-23 Tsunenao Kuwae , Nobuhiko Taniguchi

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

介观与纳米尺度物理 · 物理学 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

In a disordered environment, the probability of transmission of a wave reduces with increasing disorder, the ultimate limit of which is the near-zero transmission due to Anderson localization. Under localizing conditions, transport is…

无序系统与神经网络 · 物理学 2022-06-14 Himadri Sahoo , R Vijay , Sushil Mujumdar

The phenomenon of localization is usually accompanied with the presence of quenched disorder. To what extent disorder is necessary for localization is a well-known open problem. In this paper, we prove the instability of localization in…

无序系统与神经网络 · 物理学 2020-01-06 Yichen Huang , Aram W. Harrow

Potential disorder in 1D leads to Anderson localization of the entire spectrum. Upon sacrificing hermiticity by adding non-reciprocal hopping, the non-Hermitian skin effect competes with localization. We find another route for…

无序系统与神经网络 · 物理学 2025-02-27 Liang-Hong Mo , Zhenyu Xiao , Roderich Moessner , Hongzheng Zhao

We study the effect of disorder on the particle density evolution in a classical Hamiltonian driven lattice setup. If the disorder is localized within a finite sub-domain of the lattice, the emergence of strong tails in the density…

混沌动力学 · 物理学 2016-09-21 Thomas Wulf , Alexander Okupnik , Peter Schmelcher

Andersons groundbreaking discovery that the presence of stochastic imperfections in a crystal may result in a sudden breakdown of conductivity revolutionized our understanding of disordered media. After stimulating decades of lively…

光学 · 物理学 2020-07-02 Sebastian Weidemann , Mark Kremer , Stefano Longhi , Alexander Szameit

We present a scattering theory of transport through noncollinear disordered magnetic insulators. For concreteness, we study and compare the random field model (RFM) and the random anisotropy model (RAM). The RFM and RAM are used to model…

介观与纳米尺度物理 · 物理学 2019-10-30 Martin Fonnum Jakobsen , Alireza Qaiumzadeh , Arne Brataas

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 study numerically the localization properties of eigenstates in a one-dimensional random lattice described by a non-Hermitian disordered Hamiltonian, where both the disorder and the non-Hermiticity are inserted simultaneously in the…

无序系统与神经网络 · 物理学 2020-01-08 Ba Phi Nguyen , Duy Khuong Phung , Kihong Kim

The combined influence of disorder and interactions on the transport properties of electrons in one dimension is investigated. The numerical simulations are carried out by means of the Hartree-Fock-based diagonalization (HFD), a very…

介观与纳米尺度物理 · 物理学 2015-06-25 Michael Schreiber , Frank Epperlein , Thomas Vojta

Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness. Moving beyond traditional multi-impurity scenarios, we investigate…

无序系统与神经网络 · 物理学 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali
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