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Motivated by recent debates around the many-body localization (MBL) problem, and in particular its stability against systemwide resonances, we investigate long-distance spin-spin correlations across the phase diagram of the random-field XXZ…

Disordered Systems and Neural Networks · Physics 2025-01-10 Jeanne Colbois , Fabien Alet , Nicolas Laflorencie

Motivated by recent advances in the realization of Truchet-tiling structures in molecular networks and metal-organic frameworks, we investigate the wave localization issue in this kind of structure. We introduce an electron model based on…

Disordered Systems and Neural Networks · Physics 2025-05-08 Junmo Jeon , Shiro Sakai

In this paper, we study the interacting random particles with power-law long-rang hopping. Via the multi-scale analysis arguments for the Green's function, we establish the power-law localization for all energy with strong disorder.

Mathematical Physics · Physics 2025-03-26 Wenwen Jian , Yingte Sun

Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the…

Disordered Systems and Neural Networks · Physics 2015-03-19 Alexander Croy , Philipp Cain , Michael Schreiber

We investigate the directional localization properties of wave-functions in a two-dimensional tight-binding model with uniform hopping and correlated random on-site energies. By controlling the disorder correlation strength with a parameter…

Disordered Systems and Neural Networks · Physics 2025-03-12 Mohammad Pouranvari

The properties of the entanglement entropy (EE) in one-dimensional disordered interacting systems are studied. Anderson localization leaves a clear signature on the average EE, as it saturates on length scale exceeding the localization…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Richard Berkovits

We investigate the localization behavior of electrons in a random lattice which is constructed from a quasi-one-dimensional chain with large coordinate number $Z$ and rewired bonds, resembling the small-world network proposed recently but…

Disordered Systems and Neural Networks · Physics 2009-10-31 Chen-Ping Zhu , Shi-Jie Xiong

The effect of rare system-wide resonances in the many-body localization (MBL) transition has recently attracted significant attention. They are expected to play a prominent role in the stability of the MBL phase, prompting the development…

Disordered Systems and Neural Networks · Physics 2025-11-13 Greivin Alfaro Miranda , Fabien Alet , Giulio Biroli , Leticia F. Cugliandolo , Nicolas Laflorencie , Marco Tarzia

We study a canonical many-body-localized (MBL) system with power-law-correlated disorders: $s=\frac{1}{2}$ spin chain in a random magnetic field. The power-law-correlated disorder can control the critical regime between the MBL and thermal…

Statistical Mechanics · Physics 2020-10-20 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

We study the nature of electronic states in one-dimensional continuous models with weak correlated disorder. Using a perturbative approach, we compute the inverse localisation length (Lyapunov exponent) up to terms proportional to the…

Disordered Systems and Neural Networks · Physics 2012-01-25 L. Tessieri

Randomness and disorder have strong impact on transport processes in quantum systems and give rise to phenomena such as Anderson localization [1-3], many-body localization [4] or glassy dynamics [5]. Their characteristics thereby depend on…

Quantum Physics · Physics 2023-03-02 Carsten Lippe , Tanita Klas , Jana Bender , Patrick Mischke , Thomas Niederprüm , Herwig Ott

Electron localization property of a random chain changing under the influence of a constant electric field has been studied. We have adopted the multifractal scaling formalism to explore the possible localization behavior in the system. We…

Disordered Systems and Neural Networks · Physics 2009-10-31 Parthapratim Biswas , Prabhat K Thakur

In this work, propagation of acoustic waves in a one-dimensional binary chain with different types of correlations in elasticity distribution is studied. We applied entropic analysis to investigate and quantify the…

Statistical Mechanics · Physics 2019-12-02 O. Farzadian , T. Oikonomou , M. R. R. Good , M. D. Niry

In the presence of quasiperiodic potentials, the celebrated Kitaev chain presents an intriguing phase diagram with ergodic, localized and and multifractal states. In this work, we generalize these results by studying the localization…

Disordered Systems and Neural Networks · Physics 2022-07-28 Joana Fraxanet , Utso Bhattacharya , Tobias Grass , Maciej Lewenstein , Alexandre Dauphin

We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions or long-range hopping. Based on perturbative arguments there is a…

Disordered Systems and Neural Networks · Physics 2019-06-14 Sabyasachi Nag , Arti Garg

In this work we investigate the electronic transport along model DNA molecules using an effective tight-binding approach that includes the backbone on site energies. The localization length and participation number are examined as a…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 C. J. Páez , P. A. Schulz

We study Anderson localization in a one-dimensional disordered system with long-range correlated hopping decaying as $1/r^{a}$ with complex hopping amplitudes that break time-reversal symmetry in a tunable fashion by varying their argument.…

Disordered Systems and Neural Networks · Physics 2026-04-03 Bikram Pain , Sthitadhi Roy , Jens H. Bardarson , Ivan M. Khaymovich

We study the one-dimensional nearest neighbor tight binding model of electrons with independently distributed random hopping and no on-site potential (i.e. off-diagonal disorder with particle-hole symmetry, leading to sub-lattice symmetry,…

Disordered Systems and Neural Networks · Physics 2020-06-16 Akshay Krishna , R. N. Bhatt

We study Anderson localisation on high-dimensional graphs with spatial structure induced by long-ranged but distance-dependent hopping. To this end, we introduce a class of models that interpolate between the short-range Anderson model on a…

Disordered Systems and Neural Networks · Physics 2026-04-22 Bibek Saha , Sthitadhi Roy

We consider the change in electron localization due to the presence of electron-electron repulsion in the \HA model. Taking into account local Mott-Hubbard physics and static screening of the disorder potential, the system is mapped onto an…

Disordered Systems and Neural Networks · Physics 2008-12-28 Peter Henseler , Johann Kroha , Boris Shapiro