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We study the topological physics in nonlinear Schr\"{o}dinger systems on lattices. We employ the quench dynamics to explore the phase diagram, where a pulse is given to a lattice point and we analyze its time evolution. There are two system…

Mesoscale and Nanoscale Physics · Physics 2021-12-24 Motohiko Ezawa

Despite extensive studies on the one-dimensional Su-Schrieffer-Heeger-Hubbard (SSHH) model, the variant incorporating next-nearest neighbour hopping remains largely unexplored. Here, we investigate the ground-state properties of this…

Strongly Correlated Electrons · Physics 2024-06-21 Pei-Jie Chang , Jinghui Pi , Muxi Zheng , Yu-Ting Lei , Dong Ruan , Gui-Lu Long

In this work, we theoretically study a modified Su-Schrieffer-Heeger (SSH) model in which each unit cell consists of three sites. Unlike existing extensions of the SSH model which are made by enlarging the periodicity of the…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Mohammad Ghuneim , Raditya Weda Bomantara

The Su-Schrieffer-Heeger (SSH) model perhaps is the easiest and the most basic model for topological excitations. Many variations and extensions of the SSH model have been proposed and explored to better understand both fundamental and…

Quantum Gases · Physics 2019-07-01 Dizhou Xie , Wei Gou , Teng Xiao , Bryce Gadway , Bo Yan

In the long-range Su-Schriffer-Heeger (SSH) model, in which the next nearest-neighbor hopping is considered, there exhibits a rich topological phase diagram that contains winding numbers $w=0, 1$, and $2$. In the presence of disorder, the…

Mesoscale and Nanoscale Physics · Physics 2020-12-11 Hsu-Chuan Hsu , Tsung-Wei Chen

We study the emergence of topological superconductivity in a two-dimensional (2D) Weyl system, composed of stacked Su-Schrieffer-Heeger (SSH) chains. A previous analysis of the model showed that the addition of an attractive Hubbard…

Superconductivity · Physics 2022-08-18 Peter Rosenberg , Efstratios Manousakis

Topological insulators have inspired the study with various quantum simulators. Exploiting the tunability of the qubit frequency and qubit-qubit coupling, we show that a superconducting qubit chain can simulate various topological band…

Quantum Physics · Physics 2017-11-21 Xiu Gu , Shu Chen , Yu-xi Liu

We use the Lindblad equation method to investigate the onset of a mobility edge and the topological phase transition in the disordered SSH chain connected to two external baths in the large bias limit. From the scaling properties of the…

Strongly Correlated Electrons · Physics 2023-01-11 Andrea Nava , Gabriele Campagnano , Pasquale Sodano , Domenico Giuliano

In this paper, we discuss the topological and transport properties of binary heterostructures of different topological materials. Using the Su-Schrieffer-Heeger model and the method of Green's functions, we calculate and characterize the…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 R. Pineda , W. J. Herrera

Topological phases at quantum criticality attract much attention recently. Here we numerically study the interaction-induced phase transitions at around the topological quantum critical points of an extended Su-Schrieffer-Heeger (SSH) chain…

Strongly Correlated Electrons · Physics 2025-05-09 Xiaofan Zhou , Suotang Jia , Jian-Song Pan

A two dimensional (2D) Su-Schrieffer-Heeger (SSH) model with topological defects like domain walls (DW) / vortices or quasi-periodic disorders is a perfect blend for investigating topology and localization of quantum states. In a 2D SSH…

Strongly Correlated Electrons · Physics 2025-12-09 Surajit Mandal , Satyaki Kar

The one-dimensional Su-Schrieffer-Heeger (SSH) model is a prototype model in the field of topological condensed matter physics, and the existence and characteristics of its topological edge states are crucial for revealing the topological…

Mesoscale and Nanoscale Physics · Physics 2025-09-23 Weibo Xu

Finding new topological materials and understanding the physical essence of topology are crucial problems for researchers. We studied the topological property based on several proposed Su-Schrieffer-Heeger (SSH) related models. We show that…

Strongly Correlated Electrons · Physics 2019-05-29 Yan-Chao Li , Jing Zhang , Hai-Qing Lin

The emergence of complex spectra in non-Hermitian systems causes dramatic changes even under weak perturbations, significantly hindering their precise control for study and integration into practical applications. Achieving a controlled…

Quantum Physics · Physics 2025-07-04 Sayed Ali Akbar Ghorashi , Masatoshi Sato

Non-Hermitian topological phenomena have gained much interest among physicists in recent years. In this paper, we expound on the physics of dissipatively coupled Su-Schrieffer-Heeger (SSH) lattices, specifically in systems with bosonic and…

Quantum Physics · Physics 2024-04-16 Jayakrishnan M. P. Nair , Marlan O. Scully , Girish S. Agarwal

Topological boundary states have attracted widespread fascination due to their series of intriguing properties. In this paper, we investigate the multiple boundary states within the two kinds of extended Su-Schrieffer-Heeger (SSH) models.…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Shengqun Guo , Jinke Huang , Ruimin Huang , Fengjiang Zhuang , Zhili Lin , Weibin Qiu

We simulate the the Su-Schrieffer-Heeger (SSH) model using Rydberg-atom synthetic dimensions constructed, in a single atom, from a ladder of six neighboring $n\:^3S_1$ Rydberg states in which adjacent states are coupled with two-photon…

Quantum Physics · Physics 2024-04-30 Yi Lu , Chuanyu Wang , Soumya K. Kanungo , F. Barry Dunning , Thomas C. Killian

Intriguing issues in one-dimensional non-reciprocal topological systems include the breakdown of usual bulk-edge correspondence and the occurrence of half-integer topological invariants. In order to understand these unusual topological…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Hui Jiang , Rong Lü , Shu Chen

We study the effects of electron-electron interactions on the charge excitation spectrum of the spinful Su-Schrieffer-Heeger (SSH) model, a prototype of a 1D bulk obstructed topological insulator. In view of recent progress in the…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 David Mikhail , Benoit Voisin , Dominique Didier St Medar , Gilles Buchs , Sven Rogge , Stephan Rachel

Fock-state lattice (FSL) offers a powerful quantum simulator for topological phenomena due to the unbounded scalability and ease of implementation. Nevertheless, the unique topological properties induced by its site-dependent coupling have…

Quantum Physics · Physics 2025-10-14 Xing Yao Mi , Yong-Chun Liu , Zhi Jiao Deng , Chun Wang Wu , Ping Xing Chen
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