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Atomic structures of Al-Co-Cu decagonal quasicrystals (QCs) are investigated using empirical oscillating pair potentials (EOPP) in molecular dynamic (MD) simulations that we enhance by Monte Carlo (MC) swapping of chemical species and…

Materials Science · Physics 2024-04-23 Y. Huang , M. Widom , M. Mihalkovič

We study high-temperature magnetization transport in a many-body spin-1/2 chain with on-site quasiperiodic potential governed by the Fibonacci rule. In the absence of interactions it is known that the system is critical with the transport…

Strongly Correlated Electrons · Physics 2019-09-13 Vipin Kerala Varma , Marko Znidaric

We study the spreading of initially localized excitations in 1D disordered granular crystals. We thereby investigate localization phenomena in strongly nonlinear systems, which we demonstrate to be fundamentally different from localization…

Disordered Systems and Neural Networks · Physics 2016-02-17 Alejandro J. Martínez , P. G. Kevrekidis , Mason A. Porter

We investigate analytically and numerically the Anderson localization of quasiparticles in binary Bose mixtures in the presence of the Lee-Huang-Yang quantum and thermal corrections subjected to correlated disordered potentials. We…

Quantum Gases · Physics 2024-11-04 Zohra Mehri , Abdelaali Boudjemaa

We investigate the entanglement dynamics of the non-Hermitian Aubry-Andr\'e-Harper (AAH) chain. The results reveal that by increasing quasiperiodic strength, a phase transition occurs from the area law induced by non-Hermitian skin effect…

Disordered Systems and Neural Networks · Physics 2024-01-18 Shan-Zhong Li , Xue-Jia Yu , Zhi Li

In this paper we discussed the topological transition between trivial and nontrivial phases of a quasi-periodic (Aubry-Andr\'e like) mechanical Su-Schrieffer-Heeger (SSH) model. We find that there exists a nontrivial boundary separating the…

Mesoscale and Nanoscale Physics · Physics 2024-05-29 D. A. Miranda , T. V. C. Antão , N. M. R Peres

We study a one-dimensional quasiperiodic system described by the off-diagonal Aubry-Andr\'{e} model and investigate its phase diagram by using the symmetry and the multifractal analysis. It was shown in a recent work ({\it Phys. Rev. B}…

Disordered Systems and Neural Networks · Physics 2016-09-23 Tong Liu , Pei Wang , Gao Xianlong

In a hybrid Superconductor - Insulator - Normal metal tunnel junction biased just below the gap, the extraction of hot electrons out of the normal metal results in electronic cooling effect. The quasiparticles injected in the superconductor…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Bernard Pannetier , Herve' Courtois , Sukumar Rajauria

We introduce a construction to embed a quasiperiodic lattice of obstacles into a single unit cell of a higher-dimensional space, with periodic boundary conditions. This construction transparently shows the existence of channels in these…

Chaotic Dynamics · Physics 2012-06-12 Atahualpa S. Kraemer , David P. Sanders

Recently, a kind of finite-temperature pseudo-transition was observed in several quasi-one-dimensional models. In this work, we consider a genuine one-dimensional extended Hubbard model in the atomic limit, influenced by an external…

Strongly Correlated Electrons · Physics 2024-09-10 Onofre Rojas , S. M. de Souza , J. Torrico , L. M. Verissimo , M. S. S. Pereira , M. L. Lyra , Oleg Derzhko

Three-dimensional icosahedral random tilings with rhombohedral cells are studied in the semi-entropic model. We introduce a global energy measure defined by the variance of the quasilattice points in the orthogonal space. The internal…

Condensed Matter · Physics 2007-05-23 W. Ebinger , J. Roth , H. -R. Trebin

Within the framework of the Aubry-Andre model, one kind of self-dual quasiperiodic lattice, it is known that a sharp transition occurs from \emph{all} eigenstates being extended to \emph{all} being localized. The common perception for this…

Disordered Systems and Neural Networks · Physics 2013-12-04 Gang Wang , Nianbei Li , Tsuneyoshi Nakayama

Localization in one-dimensional disordered or quasiperiodic non-interacting systems in presence of power-law hopping is very different from localization in short-ranged systems. Power-law hopping leads to algebraic localization as opposed…

Disordered Systems and Neural Networks · Physics 2019-11-27 Madhumita Saha , Santanu K. Maiti , Archak Purkayastha

Emergent hydrodynamics (EHD) bridges short-time unitarity with late-time thermodynamics, universal transport phenomena characterize the manner and speed of transport and thermalization. Typical non-integrable systems with few conserved…

Disordered Systems and Neural Networks · Physics 2025-10-23 Andrew Stasiuk , Garrett Heller , Lance Berkey , Bo Xing , Paola Cappellaro

Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the…

Quantum Physics · Physics 2021-08-25 Longwen Zhou

Non-Hermitian effects could trigger spectrum, localization and topological phase transitions in quasiperiodic lattices. We propose a non-Hermitian extension of the Maryland model, which forms a paradigm in the study of localization and…

Quantum Physics · Physics 2022-01-13 Longwen Zhou , Yongjian Gu

In this paper, we explore the localization features of wave functions in a family of mosaic quasiperiodic chains obtained by continuously interpolating between two limits: the mosaic Aubry-Andr\'{e} (AA) model, known for its exact mobility…

Disordered Systems and Neural Networks · Physics 2023-10-26 Qi Dai , Zhanpeng Lu , Zhihao Xu

The localization property of a non-Hermitian Su-Schrieffer-Heeger (SSH) chain with quasi-periodic on-site potential is investigated. In contrast to the preceding investigations, the quantum phase transition between localized state and…

Quantum Physics · Physics 2026-01-29 Guan-Qiang Li , Zhi-Yu Lin , You-Jiao Dong , Ya-Feng Xue , Chun-Yang Ren , Ping Peng

The Anderson localization transition is one of the most well studied examples of a zero temperature quantum phase transition. On the other hand, many open questions remain about the phenomenology of disordered systems driven far out of…

Statistical Mechanics · Physics 2019-09-11 Michael J. Gullans , David A. Huse

Recent advances in spin-dependent optical lattices [Meng et al., Nature \textbf{615}, 231 (2023)] have enabled the experimental implementation of two superimposed three-dimensional lattices, presenting new opportunities to investigate…

Quantum Gases · Physics 2025-04-04 Ce Wang , Chao Gao , Zhe-Yu Shi
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