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The question of whether the topological insulators can host a stable nontrivial phase in the presence of spatially correlated disorder is a fundamental question of interest. Based on theoretical investigations, we analyze the effect of…

Disordered Systems and Neural Networks · Physics 2022-07-11 Zheng-Wei Zuo , Dawei Kang

Topological phases feature robust edge states that are protected against the effects of defects and disorder. The robustness of these states presents opportunities to design technologies that are tolerant to fabrication errors and resilient…

It is known that a two dimensional dimerized Su-Schrieffer-Heeger model can produce a nontrivial topological phase. It is a simple nearest-neighbor model with either two or four lattice sites in in two dimensions. Su-Schrieffer-Heeger model…

Materials Science · Physics 2023-11-10 Chani Stella van Niekerk , Robert Warmbier

The interplay of topology, disorder, and non-Hermiticity gives rise to phenomena beyond the conventional classification of quantum phases. We propose a one-dimensional non-Hermitian Su-Schrieffer-Heeger model with quasiperiodically…

Disordered Systems and Neural Networks · Physics 2026-05-14 Qi-Bo Zeng , Rong Lü

It is shown that quantum walks on one-dimensional arrays of special linear-optical units allow the simulation of discrete-time Hamiltonian systems with distinct topological phases. In particular, a slightly modified version of the…

Quantum Physics · Physics 2017-08-02 David S. Simon , Casey A. Fitzpatrick , Shuto Osawa , Alexander V. Sergienko

The significance of topological phases has been widely recognized in the community of condensed matter physics. The well controllable quantum systems provide an artificial platform to probe and engineer various topological phases. The…

Quantum Physics · Physics 2018-01-01 Tenghui Wang , Zhenxing Zhang , Liang Xiang , Zhihao Gong , Jianlan Wu , Yi Yin

The topological phase of the Su-Schrieffer-Heeger (SSH) model is known to exhibit two edge states that are topologically protected by the chiral symmetry. We demonstrate that, for any parameter quench performed on the half-filled SSH chain,…

Mesoscale and Nanoscale Physics · Physics 2022-04-15 Lorenzo Rossi , Fausto Rossi , Fabrizio Dolcini

We investigate the interplay between disorder and superconducting pairing for a one-dimensional $p$-wave superconductor subject to slowly varying incommensurate potentials with mobility edges. With amplitude increments of the incommensurate…

Quantum Gases · Physics 2017-12-12 Tong Liu , Hai-Yang Yan , Hao Guo

Localization problem of electronic states in a two-dimensional quantum spin Hall system (QSH - a symplectic model with a non-trivial topological structure) is studied by the transfer matrix method. The phase diagram in the plane of energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Masaru Onoda , Yshai Avishai , Naoto Nagaosa

We study the square-lattice extended Hubbard model with on-site $U$ and nearest-neighbor $V$ interactions by exact diagonalization. We show that non-equilibrium quench dynamics can help determine the equilibrium phase transition boundaries,…

Superconductivity · Physics 2023-08-21 Wei-Chih Chen , Yao Wang , Cheng-Chien Chen

Multi-stable mechanical structures find cutting-edge applications across various domains due to their reconfigurability, which offers innovative possibilities for engineering and technology advancements. This study explores the emergence of…

Applied Physics · Physics 2024-02-13 Zhen Wang , Feiyang Sun , Xiaodong Xu , Xin Li , Chuanqing Chen , Minghui Lu

The topological superconducting state is a highly sought-after quantum state hosting topological order and Majorana excitations. In this work, we explore the mechanism to realize the topological superconductivity (TSC) in the doped Mott…

Strongly Correlated Electrons · Physics 2023-04-03 Yixuan Huang , Shou-Shu Gong , D. N. Sheng

The relation of topological insulators and superconductors and the field of nonlinear dynamics is widely unexplored. To address this subject, we adopt the linear coupling geometry of the Su-Schrieffer-Heeger model, a paradigmatic example…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 G. Engelhardt , M. Benito , G. Platero , T. Brandes

We develop a supervised machine learning algorithm that is able to learn topological phases of finite condensed matter systems from bulk data in real lattice space. The algorithm employs diagonalization in real space together with any…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 N. L. Holanda , M. A. R. Griffith

Recently, Floquet systems have attracted a great deal of interest as they offer unprecedented ability to engineer topological states through the tuning of an external time-periodic drive. Consequentially, seeking new driving protocols that…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Sam Olin , Wei-Cheng Lee

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…

Topological superconductivity in quasi-one-dimensional systems is a novel phase of matter with possible implications for quantum computation. Despite years of effort, a definitive signature of this phase in experiments is still debated. A…

Mesoscale and Nanoscale Physics · Physics 2021-07-12 Omri Lesser , Andrew Saydjari , Marie Wesson , Amir Yacoby , Yuval Oreg

Engineering synthetic dimensions, where the physics of additional spatial dimensions is simulated within the internal states of a quantum system, allows the realisation of phenomena not otherwise accessible in experiments. Ultracold…

The Su-Schrieffer-Heeger (SSH) model, containing dimerized hopping and a constant onsite energy, has become a paradigmatic model for one-dimensional topological phases, soliton excitations and fractionalized charge in the presence of chiral…

Strongly Correlated Electrons · Physics 2020-06-08 Wojciech Brzezicki , Timo Hyart

The one-dimensional Su-Schrieffer-Heeger (SSH) model is central to band topology in condensed matter physics, which allows us to understand and design distinct topological states. In this work, we find another mechanism to analogize the SSH…

Mesoscale and Nanoscale Physics · Physics 2024-05-22 Yuanjun Jin , XingYu Yue , Yong Xu , Xiang-Long Yu , Guoqing Chang