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We study two coupled Su-Schrieffer-Heeger (SSH) chains system, which is shown to contain rich quantum phases associated with topological invariants protected by symmetries. In the weak coupling region, the system supports two non-trivial…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Ci. Li , Sen. Lin , Gang. Zhang , Zhi. Song

We investigate quantum transport and thermoelectrical properties of a finite-size Su-Schrieffer-Heeger model, a paradigmatic model for a one-dimensional topological insulator, which displays topologically protected edge states. By coupling…

Statistical Mechanics · Physics 2018-07-25 Sina Böhling , Georg Engelhardt , Gloria Platero , Gernot Schaller

Bound states in the continuum, originally proposed within the framework of quantum mechanics, have since been observed in a variety of physical contexts, including electromagnetism, acoustics, and optics. Of particular interest are those…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Dunkan Martinez , Rodrigo P A Lima , Alexander Lopez , Francisco Dominguez-Adame , Pedro A Orellana

In recent years, the study of topologically non-trivial structures in one-dimensional models has been dominated by the Su--Schrieffer--Heeger model due to its simplicity in design and its ability to support edge states with robustness to…

Mesoscale and Nanoscale Physics · Physics 2024-05-01 Valerii Kachin , Juan Camilo López Carreño , Magdalena Stobińska

We consider spin chain families inspired by the Su, Schrieffer and Hegger (SSH) model. We demonstrate explicitly the topologically induced spatial localisation of quantum states in our systems. We present detailed investigations of the…

Quantum Physics · Physics 2017-02-28 Marta P. Estarellas , Irene D'Amico , Timothy P. Spiller

Quantum topology categorizes physical systems in integer invariants, which are robust to some deformations and certain types of disorder. A prime example is the Su-Schrieffer-Heeger (SSH) model, which has two distinct topological phases,…

Disordered Systems and Neural Networks · Physics 2026-01-01 Michael Hilke

While solid-state devices offer naturally reliable hardware for modern classical computers, thus far quantum information processors resemble vacuum tube computers in being neither reliable nor scalable. Strongly correlated many body states…

Quantum Physics · Physics 2015-03-19 Joseph M. Renes , Akimasa Miyake , Gavin K. Brennen , Stephen D. Bartlett

The Su-Schrieffer-Heeger (SSH) model on a two-dimensional square lattice has been considered as a significant platform for studying topological multipole insulators. However, due to the highly-degenerate bulk energy bands protected by $…

Mesoscale and Nanoscale Physics · Physics 2021-03-16 Zhang-Zhao Yang , An-Yang Guan , Wen-Jie Yang , Xin-Ye Zou , Jian-Chun Cheng

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

Symmetry-protected topological phases of matter, characterized by non-trivial band topology, are spectrally gapped and show non-trivial boundary phenomena. Here, we show that scattering states when interjected by an array of periodically…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Rahul Singh , Ritajit Kundu , Arijit Kundu , Adhip Agarwala

Exploring the properties and applications of topological quantum states is essential to better understand topological matter. Here, we theoretically study a quasi-one-dimensional topological atom array. In the low-energy regime, the atom…

Quantum Physics · Physics 2020-01-29 Wei Nie , Z. H. Peng , Franco Nori , Yu-xi Liu

We suggest a method for fast and robust quantum-state transfer in a Su-Schrieffer-Heeger (SSH) chain, which exploits the use of next-to-nearest-neighbour (NNN) interactions. The proposed quantum protocol combines a rapid change in one of…

Encoding and manipulation of quantum information by means of topological degrees of freedom provides a promising way to achieve natural fault-tolerance that is built-in at the physical level. We show that this topological approach to…

Quantum Physics · Physics 2009-11-07 Paolo Zanardi , Seth Lloyd

Advances in the next generation of mesoscopic electronics require an understanding of topological phases in inhomogeneous media and the principles that govern them. Motivated by the nature of motifs available in printable conducting inks,…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Nirnoy Basak , Ritajit Kundu , Basudeb Mondal , Adhip Agarwala

In this work, we present a theory for topological phases for quantum systems on tree graphs. Conventionally, topological phases of matter have been studied in regular lattices, but also in quasicrystals and amorphous settings. We consider…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Alex Westström , Wenbu Duan , Kangpei Yao , Xiaonan Wang , Jie Liu , Jian Li

Sensitivity to noise makes most of the current quantum computing schemes prone to error and nonscalable, allowing only for small proof-of-principle devices. Topologically-protected quantum computing aims at solving this problem by encoding…

Disordered Systems and Neural Networks · Physics 2013-12-17 Helmut G. Katzgraber , Ruben S. Andrist

We perform digital quantum simulations of the noninteracting Su-Schrieffer-Heeger (SSH) model using a parameterized quantum circuit. The circuit comprises two main components: the first prepares the initial state from the product state…

Quantum Physics · Physics 2025-04-11 Qing Xie , Kazuhiro Seki , Tomonori Shirakawa , Seiji Yunoki

Linear electric circuits composed of inductors and capacitors can serve as analogues of tight-binding models that describe the electronic band structure of materials. This mapping provides a versatile approach for exploring topological…

Other Condensed Matter · Physics 2026-01-27 Araceli Gutiérrez-Llorente

Topological modes in one- and two-dimensional systems have been proposed for numerous applications utilizing their exotic electronic responses. The zero-energy, topologically protected end modes can be realized in the Su-Schrieffer-Heeger…

Mesoscale and Nanoscale Physics · Physics 2020-03-19 Md Nurul Huda , Shawulienu Kezilebieke , Teemu Ojanen , Robert Drost , Peter Liljeroth

We study the stability of the topological phase in one-dimensional Su-Schrieffer-Heeger chain subject to the quasiperiodic hopping disorder. We investigate two different hopping disorder configurations, one is the Aubry-Andr\'{e}…

Disordered Systems and Neural Networks · Physics 2018-10-08 Tong Liu , Hao Guo
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