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As disorder strength increases in quantum many-body systems a new phase of matter, the so-called anybody localization, emerges across the whole spectrum. This transition is energy dependent, a phenomenon known as mobility edge, such that…

Disordered Systems and Neural Networks · Physics 2023-02-02 Rozhin Yousefjani , Abolfazl Bayat

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…

Disordered Systems and Neural Networks · Physics 2017-10-23 Tsunenao Kuwae , Nobuhiko Taniguchi

It is widely believed that many-body localisation in one dimension is fragile and can be easily destroyed by thermal inclusions, however there are still many open questions regarding the stability of the localised phase and under what…

Disordered Systems and Neural Networks · Physics 2023-03-30 S. J. Thomson

In this work, we discuss a non-Hermitian system described via a one-dimensional single-particle tight-binding model, where the non-Hermiticity is governed by random nearest-neighbour tunnellings, such that the left-to-right and…

Disordered Systems and Neural Networks · Physics 2026-01-19 Aitijhya Saha , Debraj Rakshit

We analyze the interplay of disorder and long-range hopping in a paradigmatic one dimensional model of quantum transport. While typically the current is expected to decrease as the disorder strength increases due to localization effects, in…

Quantum Physics · Physics 2026-01-13 Elisa Zanardini , Giuseppe Luca Celardo , Nahum C. Chávez , Fausto Borgonovi

We study the mobility edges in a variety of one-dimensional tight binding models with slowly varying quasi-periodic disorders. It is found that the quasi-periodic disordered models can be approximated by an ensemble of periodic models. The…

Disordered Systems and Neural Networks · Physics 2021-07-19 Qiyun Tang , Yan He

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

It has been widely believed that almost all states in one-dimensional (1d) disordered systems with short-range hopping and uncorrelated random potential are localized. Here, we consider the fate of these localized states by coupling between…

Disordered Systems and Neural Networks · Physics 2024-03-19 Xiaoshui Lin , Ming Gong

Anderson localization is a universal phenomenon affecting non-interacting quantum particles in disorder. In three spatial dimensions it becomes particularly interesting to study because of the presence of a quantum phase transition from…

It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

Extended systems driven through strong disorder are modeled generically using coarse-grained degrees of freedom that interact elastically in the directions parallel to the driving force and that slip along at least one of the directions…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Cristina Marchetti , A. Alan Middleton , Karl Saunders , J. M. Schwarz

We construct a solvable spin chain model of many-body localization (MBL) with a tunable mobility edge. This simple model not only demonstrates analytically the existence of mobility edges in interacting one-dimensional (1D) disordered…

Statistical Mechanics · Physics 2015-07-07 Yichen Huang

A new type of delocalization induced by coherent harmonic perturbations in one-dimensional Anderson-localized disordered systems is investigated. With only a few $M$ frequencies a normal diffusion is realized, but the transition to…

Disordered Systems and Neural Networks · Physics 2021-04-14 Hiroaki S. Yamada , Kensuke S. Ikeda

Disordered hyperuniformity is a description of hidden correlations in point distributions revealed by an anomalous suppression in fluctuations of local density at various coarse-graining length scales. In the absorbing phase of models…

Statistical Mechanics · Physics 2021-03-24 Yuanjian Zheng , Anshul D. S. Parmar , Massimo Pica Ciamarra

We study the interaction among dispersion, nonlinearity, and disorder effects in the context of wave transmission through a discrete periodic structure, subjected to continuous harmonic excitation in its stop band. We consider a damped…

Pattern Formation and Solitons · Physics 2025-10-20 Behrooz Yousefzadeh , A. Srikantha Phani

We describe how to engineer wavefunction delocalization in disordered systems modelled by tight-binding Hamiltonians in d>1 dimensions. We show analytically that a simple product structure for the random onsite potential energies, together…

Disordered Systems and Neural Networks · Physics 2012-08-21 Alberto Rodriguez , Arunava Chakrabarti , Rudolf A. Römer

We investigate localization properties of electron eigenstates in one-dimensional (1d) systems with long-range correlated diagonal disorder. Numerical studies on the localization length $\xi$ of eigenstates demonstrate the existence of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 H. Shima , T. Nomura , T. Nakayama

The single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically and numerically that extended states may occur in the one- and…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Rodriguez , V. A. Malyshev , G. Sierra , M. A. Martin-Delgado , J. Rodriguez-Laguna , F. Dominguez-Adame

We introduce a new approach to analyse the global structure of electronic states in quasi-1D models in terms of the dynamics of a system of parametric oscillators with time-dependent stochastic couplings. We thus extend to quasi-1D models…

Disordered Systems and Neural Networks · Physics 2009-11-11 L. Tessieri , F. M. Izrailev

Reduced transport and localization in isolated quantum systems are typically attributed to spatially-extended disorder, but may also emerge from the influence of a few controllable defects. We show here how a single defect profoundly…

Quantum Physics · Physics 2026-05-15 Anish Acharya , Luca Giuggioli , Shamik Gupta