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We study transport in a one-dimensional boundary-driven Anderson insulator (the XX spin chain with onsite disorder) with randomly positioned onsite dephasing, observing a transition from diffusive to subdiffusive spin transport below a…

Disordered Systems and Neural Networks · Physics 2021-05-12 Scott Richard Taylor , Antonello Scardicchio

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

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behavior, evading thermal equilibrium that occurs under its own dynamics. Previously, the…

A central theoretical issue at the core of the current research on many-body localization (MBL) consists in characterizing the statistics of rare long-range resonances in many-body eigenstates. This is of paramount importance to understand:…

Disordered Systems and Neural Networks · Physics 2023-12-25 Giulio Biroli , Alexander K. Hartmann , Marco Tarzia

We propose a new approach to probing ergodicity and its breakdown in quantum many-body systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's…

Disordered Systems and Neural Networks · Physics 2015-12-25 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

We study ground state and finite temperature properties of disordered heavy fermion metals by using a generalization of dynamical mean field theory which incorporates Anderson localization effects. The emergence of a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. O. Aguiar , E. Miranda , V. Dobrosavljevic

The many-body localization (MBL) phase transition is not a conventional thermodynamic phase transition. Thus to define the phase transition one should allow the possibility of taking the limit of an infinite system in a way that is not the…

Statistical Mechanics · Physics 2019-04-24 Sarang Gopalakrishnan , David A. Huse

In one dimension, noninteracting particles can undergo a localization-delocalization transition in a quasiperiodic potential. Recent studies have suggested that this transition transforms into a many-body localization (MBL) transition upon…

Disordered Systems and Neural Networks · Physics 2015-12-09 Ranjan Modak , Subroto Mukerjee

We address the critical properties of the many-body localization (MBL) phase transition in one-dimensional systems subject to spatially correlated disorder. We consider a general family of disorder models, parameterized by how strong the…

Disordered Systems and Neural Networks · Physics 2022-10-18 Zhengyan Darius Shi , Vedika Khemani , Romain Vasseur , Sarang Gopalakrishnan

We study the effects of disorder in the vicinity of the ferromagnetic transition in a diluted magnetic semiconductor in the strongly localized regime. We derive an effective polaron Hamiltonian, which leads to the Griffiths phase above the…

Materials Science · Physics 2009-11-10 Victor Galitski , A. Kaminski , S. Das Sarma

Many-body localization (MBL) is a phase of matter that is characterized by the absence of thermalization. Dynamical generation of a large number of local quantum numbers has been identified as one key characteristic of this phase, quite…

Disordered Systems and Neural Networks · Physics 2017-08-23 David Pekker , Bryan K. Clark , Vadim Oganesyan , Gil Refael

We study a one-dimensional (1d) XXZ spin-chain in a random field on the metallic side of the many-body localization transition by level statistics. For a fixed interaction, and intermediate disorder below the many-body localization…

Disordered Systems and Neural Networks · Physics 2016-11-28 Corentin L. Bertrand , Antonio M. García-García

We present a simplified strong-randomness renormalization group (RG) that captures some aspects of the many-body localization (MBL) phase transition in generic disordered one-dimensional systems. This RG can be formulated analytically, and…

Statistical Mechanics · Physics 2016-06-07 Liangsheng Zhang , Bo Zhao , Trithep Devakul , David A. Huse

In this paper, we theoretically investigate the many-body localization (MBL) properties of one-dimensional anisotropic spin-1/2 chains by using the exact matrix diagonalization method. Starting from the Ising spin-1/2 chain, we introduce…

Disordered Systems and Neural Networks · Physics 2025-04-15 Taotao Hu , Yuting Li , Jiameng Hong , Xiaodan Li , Dongyan Guo , Kangning Chen

Characterizing the many-body localization (MBL) transition in strongly disordered and interacting quantum systems is an important issue in the field of condensed matter physics. We study the single particle Green's functions for a…

Disordered Systems and Neural Networks · Physics 2021-10-29 Atanu Jana , V. Ravi Chandra , Arti Garg

Closed, interacting, quantum systems have the potential to transition to a many-body localized (MBL) phase under the presence of sufficiently strong disorder, hence breaking ergodicity and failing to thermalize. In this work we study the…

Disordered Systems and Neural Networks · Physics 2020-07-15 Benjamin Villalonga , Bryan K. Clark

Many-body localized (MBL) systems do not approach thermal equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form distinct dynamical phases of matter, separated by a phase transition at which equilibrium…

Disordered Systems and Neural Networks · Physics 2021-05-25 Sarang Gopalakrishnan , S. A. Parameswaran

Thermal and many-body localized phases are separated by a dynamical phase transition of a new kind. We analyze the distribution of off-diagonal matrix elements of local operators across the many-body localization transition (MBLT) in a…

Disordered Systems and Neural Networks · Physics 2017-09-13 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

We give an introduction into some aspects of the emerging mathematical theory of many-body localization (MBL) for disordered quantum spin chains. In particular, we discuss manifestations of MBL such as zero-velocity Lieb-Robinson bounds,…

Mathematical Physics · Physics 2019-02-15 Günter Stolz

We theoretically study transport properties in one-dimensional interacting quasiperiodic systems at infinite temperature. We compare and contrast the dynamical transport properties across the many-body localization (MBL) transition in…

Disordered Systems and Neural Networks · Physics 2017-09-21 F. Setiawan , Dong-Ling Deng , J. H. Pixley