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We report on the transition between an Anderson localized regime and a conductive regime in a 1D scattering system with correlated disorder. We show experimentally that when long-range correlations, in the form of a power-law spectral…

We investigate localization properties of the Apollonian network (AN) in the presence of diagonal and off-diagonal disorder. By employing a site-resolved localization measure, we show that the localization degree is strongly dependent on…

Disordered Systems and Neural Networks · Physics 2026-04-15 Eduardo M. K. Souza , Francisco A. B. F. de Moura , Guilherme M. A. Almeida

We study disorder effects in the extended Su-Schrieffer-Heeger (SSH) model using a convolutional neural network (CNN) trained on reduced correlation matrices (RCMs) of disorder-free systems to predict winding number phase diagrams in…

Disordered Systems and Neural Networks · Physics 2026-03-13 Zhekai Yin , C. K. Ong

General multi-channel SN junctions fall into two topological classes depending on whether or not there is a Majorana mode localized at the junction. This is known to lead to different behaviour of the conductance in the presence of…

Mesoscale and Nanoscale Physics · Physics 2014-11-11 Yashar Komijani , Ian Affleck

The time evolution of topological systems is an active area of interest due to their expected applications in fault-tolerant quantum computing. Here, we analyze the dynamics of a noninteracting spinless fermion chain in its topological…

Strongly Correlated Electrons · Physics 2024-10-21 Thomas L. M. Lane , Miklós Horváth , Kristian Patrick

The presence of disorder can severely impede wave transport, resulting in the famous Anderson localization. Previous theoretical studies found that Anderson transition can exist in one-dimensional (1D) non-Hermitian disordered rings with…

Applied Physics · Physics 2025-02-13 Wei Wang , Xulong Wang , Guancong Ma

Anderson localization is a paradigmatic coherence effect in disordered systems, often analyzed in the absence of dissipation. Here we consider the case of coherent dissipation, occurring for open system with coupling to a common decay…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 A. Biella , F. Borgonovi , R. Kaiser , G. L. Celardo

We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

Disordered hyperuniform many-particle systems have attracted considerable recent attention. One important class of such systems is the classical ground states of "stealthy potentials." The degree of order of such ground states depends on a…

Statistical Mechanics · Physics 2017-01-02 G. Zhang , F. H. Stillinger , S. Torquato

We study the phase diagram of a disordered Kitaev chain with long-range pairing when connected to two metallic leads exchanging particles with external Lindblad baths. We (i) monitor the subgap modes at increasing disorder, (ii) compute the…

Strongly Correlated Electrons · Physics 2025-04-30 Emmanuele G. Cinnirella , Andrea Nava , Gabriele Campagnano , Domenico Giuliano

We investigate theoretically the effect of a finite electric field on the resistivity of a disordered one-dimensional system in the variable-range hopping regime. We find that at low fields the transport is inhibited by rare fluctuations in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. M. Fogler , R. S. Kelley

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

General properties of the hopping transport of charge carriers in amorphous organic and inorganic materials are discussed. We consider the case where the random energy landscape in the materials is strongly spatially correlated. This is a…

Materials Science · Physics 2020-02-24 S. V. Novikov

By introducing loss to one sublattice of a dimer chain described by the extended Aubry-Andr\'e or Harper (AAH) model, we study the topological features including the edge states, spectrum and winding number of the chain. We find that the…

Quantum Gases · Physics 2017-05-03 X. L. Zhao , Z. C. Shi , C. S. Yu , X. X. Yi

The one-dimensional (1D) tight binding model with random nearest neighbor hopping is known to have a singularity of the density of states and of the localization length at the band center. We study numerically the effects of random long…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chenggang Zhou , R. N. Bhatt

We study a one-dimensional system that includes both a commensurate off-diagonal modulation of the hopping amplitude and an incommensurate, slowly varying diagonal on-site modulation. By using asymptotic heuristic arguments, we identify…

Disordered Systems and Neural Networks · Physics 2017-10-02 Tong Liu , Gao Xianlong , Shihua Chen , Hao Guo

A conducting 1D chain or 2D film inside (or on the surface of) an insulator is considered. Impurities displace the charges inside the insulator. This results in a long-range fluctuating electric field acting on the conducting line (plane).…

Condensed Matter · Physics 2009-10-31 V. V. Flambaum , V. V. Sokolov

We study the effects of short-range correlated disorder arising from chemical dopants or local lattice distortions, on the ferromagnetism of 3d double exchange systems. For this, we integrate out the carriers and treat the resulting…

Strongly Correlated Electrons · Physics 2009-11-13 Georges Bouzerar , Olivier Cépas

We study the influence of scale-free correlated disorder on the metal-insulator transition in the Anderson model of localization. We use standard transfer matrix calculations and perform finite-size scaling of the largest inverse Lyapunov…

Disordered Systems and Neural Networks · Physics 2012-06-05 Alexander Croy , Philipp Cain , Michael Schreiber

The interplay between order and disorder in photonic lattices opens up a wide range of novel optical scattering mechanisms, resonances, and applications that can be obscured by typical ordered design approaches to photonics. Striking…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 J. P. Vasco , S. Hughes