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Higher-order topology is prized for its ability to realize lower-dimensional boundary states which are stable beyond fine-tuning. However, disorder presents a failure mechanism that can destroy topological in-gap states. Here, we…

Disorder-free localization is a paradigm of nonergodicity in translation-invariant quantum many-body systems hosting gauge symmetries. The quench dynamics starting from simple initial states, which correspond to extensive superpositions of…

Disordered Systems and Neural Networks · Physics 2022-01-07 Jad C. Halimeh , Hongzheng Zhao , Philipp Hauke , Johannes Knolle

We investigate the probable delocalization-localization transition in open quantum systems with disorder. The disorder can induce localization in isolated quantum systems and it is generally recognized that localization is fragile under the…

Disordered Systems and Neural Networks · Physics 2025-05-28 Xuanpu Yang , Xiang-Ping Jiang , Zijun Wei , Yucheng Wang , Lei Pan

Strongly interacting quantum systems subject to quenched disorder exhibit intriguing phenomena such as glassiness and many-body localization. Theoretical studies have mainly focused on disorder in the form of random potentials, while many…

Quantum Physics · Physics 2022-11-22 Adrian Braemer , Titus Franz , Matthias Weidemüller , Martin Gärttner

Many-body localisation is believed to be generically unstable in quantum systems with continuous non-Abelian symmetries, even in the presence of strong disorder. Breaking these symmetries can stabilise the localised phase, leading to the…

Disordered Systems and Neural Networks · Physics 2023-06-14 S. J. Thomson

We propose a new viewpoint on the study of localization transitions in disordered quantum systems, showing how critical properties can be seen also as a geometric transition in the data space generated by the classically encoded…

Disordered Systems and Neural Networks · Physics 2024-07-16 Carlo Vanoni , Vittorio Vitale

One-dimensional quantum emitters with chiral couplings can exhibit nonreciprocal decay channels, along with light-induced dipole-dipole interactions mediated via an atom-waveguide interface. When the position disorders are introduced to…

Quantum Physics · Physics 2020-10-28 H. H. Jen

Recently realized higher order topological insulators have taken a surge of interest among the theoretical and experimental condensed matter community. The two-dimensional second order topological insulators give rise to zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-10-29 R. Banerjee , S. Mandal , T. C. H. Liew

We show that topology can protect exponentially localized, zero energy edge modes at critical points between one-dimensional symmetry protected topological phases. This is possible even without gapped degrees of freedom in the bulk ---in…

Mesoscale and Nanoscale Physics · Physics 2018-02-02 Ruben Verresen , Nick G. Jones , Frank Pollmann

While many-body localization has primarily been studied in systems with a single local degree of freedom, experimental studies of many-body localization in cold atom systems motivate exploration of the disordered Hubbard model. With two…

Strongly Correlated Electrons · Physics 2019-09-18 Brandon Leipner-Johns , Rachel Wortis

In two-dimensional topological insulators, a disorder induced topological phase transition is typically identified with an Anderson localization transition at the Fermi energy. However, in higher-order, spin-resolved topological insulators…

Disordered Systems and Neural Networks · Physics 2024-03-07 Alexander C. Tyner , Cormac Grindall , J. H. Pixley

We study the creation and distribution of entanglement in disordered $XY$-type spin-$1/2$ chains for the paradigmatic case of a single flipped spin prepared on a fully polarized background. The local magnetic field is set to follow a…

We investigate a celebrated problem of one dimensional tight binding model in the presence of disorder leading to Anderson localization from a novel perspective. A binary disorder is assumed to be created by immobile heavy particles for the…

Quantum Gases · Physics 2015-08-11 Arkadiusz Kosior , Jan Major , Marcin Płodzień , Jakub Zakrzewski

Topological states are useful because they are robust against disorder and imperfection. In this study, we consider the effect of disorder and the breaking of parity symmetry on a topological network system in which the edge states are…

Disordered Systems and Neural Networks · Physics 2021-11-30 Tianshu Jiang , C. T. Chan

The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy ($\Sigma_c[{\cal \tilde{G}}](i,j\neq…

Disordered Systems and Neural Networks · Physics 2015-12-02 C. E. Ekuma , S. -X. Yang , H. Terletska , K. -M. Tam , N. S. Vidhyadhiraja , J. Moreno , M. Jarrell

The celebrated Kitaev chain reveals a captivating phase diagram in the presence of various disorders, encompassing multifractal states and topological Anderson phases. In this work, we investigate the localization and topological properties…

Other Condensed Matter · Physics 2025-06-10 Jinkun Wang , Sigma-Jun Lu , Mei Xiang , Wu-Ming Liu

We analyze the localization properties of the disordered Hubbard model in the presence of a synthetic magnetic field. An analysis of level spacing ratio shows a clear transition from ergodic to many-body localized phase. The transition…

Disordered Systems and Neural Networks · Physics 2021-01-08 Kuldeep Suthar , Piotr Sierant , Jakub Zakrzewski

We present a self-consistent theory of Anderson localization that yields a simple algorithm to obtain \emph{typical local density of states} as an order parameter, thereby reproducing the essential features of a phase-diagram of…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Dobrosavljevic , A. A. Pastor , Branislav K. Nikolic

We systematically investigate the interplay of disorder and time-homogeneous collisional noise in shaping the transport dynamics of an anisotropic XXZ spin chain. Using stochastic collision models to simulate interaction with the…

Quantum Physics · Physics 2025-12-30 Vittoria Stanzione , Alessandro Civolani , Jorge Yago Malo , Maria Luisa Chiofalo

We present a new embedding scheme for the locally self-consistent method to study disordered electron systems. We test this method in a tight-binding basis and apply it to the single band Anderson model. The local interaction zone is used…

Disordered Systems and Neural Networks · Physics 2019-09-04 Yi Zhang , Hanna Terletska , Ka-Ming Tam , Yang Wang , Markus Eisenbach , Liviu Chioncel , Mark Jarrell