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In this study, we investigate the localization transition and quantum criticality {in the ground state of the} disordered Aubry-Andr\'{e}-Harper (AAH) model, where a quasiperiodic potential is hybridized with a disordered potential. In the…

Disordered Systems and Neural Networks · Physics 2025-08-07 Tian-Cheng Yi , Ying-Ying Fang , Wen Chen , Wen-Long You , Yunbo Zhang

We systematically investigate the topological and localization properties of a quadrupolar insulator represented by the celebrated Benalcazar-Bernevig-Hughes model in presence of a quasiperiodic disorder instilled in its hopping amplitude.…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Srijata Lahiri , Saurabh Basu

Quantum coherence quantifies the amount of superposition a quantum state can have in a given basis. Since there is a difference in the structure of eigenstates of the ergodic and many-body localized systems, we expect them also to differ in…

Strongly Correlated Electrons · Physics 2020-07-29 Sayandip Dhara , Alioscia Hamma , Eduardo R. Mucciolo

Isolated quantum many-body systems are often well-described by the eigenstate thermalization hypothesis. There are, however, mechanisms that cause different behavior: many-body localization and quantum many-body scars. Here, we show how one…

Disordered Systems and Neural Networks · Physics 2023-05-24 Michael Iversen , Anne E. B. Nielsen

Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness. Moving beyond traditional multi-impurity scenarios, we investigate…

Disordered Systems and Neural Networks · Physics 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali

Physical systems with non-trivial topological order find direct applications in metrology[1] and promise future applications in quantum computing[2,3]. The quantum Hall effect derives from transverse conductance, quantized to unprecedented…

Atomic Physics · Physics 2019-05-09 Dina Genkina , Lauren M. Aycock , Hsin-I Lu , Alina M. Pineiro , Mingwu Lu , I. B. Spielman

We examine the transport properties of magnetically doped topological insulator (TI) thin films subject to correlated non-magnetic disorder. For the disorder we choose a quasi-periodic potential with a random phase. We restrict the disorder…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Takuya Okugawa , Tanay Nag , Dante M. Kennes

Anderson localization is a consequence of coherent interference of multiple scattering events in the presence of disorder, which leads to an exponential suppression of the transmission. The decay of the transmission is typically probed at a…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hichem Eleuch , Michael Hilke , Richard MacKenzie

Quasiperiodic systems extend the concept of the Anderson transition to quasi-random and low-dimensional realms and have garnered widespread attention. Here, we propose the asymptotic quasiperiodic two-dimensional systems characterized by a…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Ting-Fung Jeffrey Poon , Yuhao Wan , Yucheng Wang , Xiong-Jun Liu

We establish a condition for the perturbative stability of zero energy nodal points in the quasi-particle spectrum of superconductors in the presence of coexisting \textit{commensurate} orders. The nodes are found to be stable if the…

Superconductivity · Physics 2008-01-29 E. Berg , C-C. Chen , S. A. Kivelson

One of the most striking features of quantum mechanics is the appearance of phases of matter with topological origins. These phases result in remarkably robust macroscopic phenomena such as the edge modes in integer quantum Hall systems,…

Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties, in analogy with the quantized transport properties of topological insulators. We use a single nitrogen-vacancy center in diamond to…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Eric Boyers , Philip J. D. Crowley , Anushya Chandran , Alexander O. Sushkov

Quantum simulation enables study of many-body systems in non-equilibrium by mapping to a controllable quantum system, providing a new tool for computational intractable problems. Here, using a programmable quantum processor with a chain of…

Most periodic systems are governed by short-range interactions as long-range interactions in these systems diminish uniformly. In this letter, however, we demonstrate that this is not true for a more general class of systems, which possess…

Strongly Correlated Electrons · Physics 2026-01-12 Junmo Jeon , SungBin Lee

Spin chains with symmetry-protected edge modes are promising candidates to realize intrinsically robust physical qubits that can be used for the storage and processing of quantum information. In any experimental realization of such physical…

Quantum Physics · Physics 2020-02-12 Marcel Goihl , Nathan Walk , Jens Eisert , Nicolas Tarantino

We show that a broad class of quantum critical points can be stable against locally correlated disorder even if they are unstable against uncorrelated disorder. Although this result seemingly contradicts the Harris criterion, it follows…

Statistical Mechanics · Physics 2011-02-16 J. A. Hoyos , Nicolas Laflorencie , A. P. Vieira , Thomas Vojta

Quasi-static protocols for systems that feature a mixed phase-space with both chaos and quasi-regular regions are beyond the standard paradigm of adiabatic processes. We focus on a many-body system of atoms that are described by the…

Statistical Mechanics · Physics 2021-02-08 Yehoshua Winsten , Doron Cohen

Higher-order topological insulators are an intriguing new family of topological states that host lower-dimensional boundary states. Concurrently, quasiperiodic systems have garnered significant interest due to their complex localization and…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Raul Liquito , Miguel Gonçalves , Eduardo V. Castro

Harnessing the quantum coherence and tunability of molecular-scale structures, we theoretically explore thermoelectric transport in ring-shaped molecular junctions featuring dimerized hopping integrals. By engineering alternating strong and…

Other Condensed Matter · Physics 2025-12-17 Ranjini Bhattacharya , Souvik Roy

We study the effect of disorder in systems having a non-trivial Euler class. As these recently proposed multi-gap topological phases come about by braiding non-Abelian charged band nodes residing between different bands to induce stable…

Mesoscale and Nanoscale Physics · Physics 2024-08-08 Wojciech J. Jankowski , Mohammadreza Noormandipour , Adrien Bouhon , Robert-Jan Slager