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We predict pseudo topological insulators that have been previously overlooked. We determine some conditions under which robust pseudo topological edge states appear and illustrate our idea on the Su-Schrieffer-Heeger (SSH) model with extra…

Strongly Correlated Electrons · Physics 2019-05-21 C. Yuce

If a full band gap closes and then reopens when we continuously deform a periodic system while keeping its symmetry, a topological phase transition usually occurs. A common model demonstrating such a topological phase transition in…

Classical Physics · Physics 2018-11-26 Xin Li , Yan Meng , Xiaoxiao Wu , Sheng Yan , Yingzhou Huang , Shuxia Wang , Weijia Wen

This paper experimentally investigates topologically protected edge modes in a water wave channel through a direct geometric mapping to the one-dimensional Su-Schrieffer-Heeger (SSH) model. By designing a periodic channel with alternating…

We study the interplay of spontaneous symmetry breaking and topological properties in interacting one-dimensional models. We solve these models using bozonization and identify topologically non-trivial phases by counting the additional…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Polina Matveeva , Dmitri Gutman , Sam T. Carr

We investigate the spectral properties of the Su-Schrieffer-Heeger (SSH) model with sublattice-dependent onsite nonlinearity. Two complementary approaches are employed in our studies. First, Bloch state solutions under periodic boundary…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Ahmed Alharthy , RW Bomantara

Topological edge states typically arise at the boundaries of topologically nontrivial structures or at interfaces between regions with differing topological invariants. When topological systems are extended into the nonlinear regime, linear…

We demonstrate dynamical topological phase transitions in evolving Su-Schrieffer-Heeger (SSH) lattices made of interacting soliton arrays, which are entirely driven by nonlinearity and thereby exemplify emergent nonlinear topological…

Pattern Formation and Solitons · Physics 2022-05-17 Domenico Bongiovanni , Dario Jukić , Zhichan Hu , Frane Lunić , Yi Hu , Daohong Song , Roberto Morandotti , Zhigang Chen , Hrvoje Buljan

We consider a Su-Schrieffer-Heeger chain to which we attach a semi-infinite undimerized chain (lead) to both ends. We study the effect of the openness of the SSH model on its properties. A representation of the infinite system using an…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Alexei Bissonnette , Nicolas Delnour , Andrew Mckenna , Hichem Eleuch , Michael Hilke , Richard MacKenzie

The Su-Schrieffer-Heeger (SSH) model describes a paradigmatic one-dimensional (1-D) system that exhibits a non-trivial band topology. In this paper, we foreground a new scheme involving a 1-D chain of $2N+1$ Bosonic modes with…

Quantum Physics · Physics 2022-11-30 Jayakrishnan M. P. Nair

We investigate the edge states and the topological phase transitions in a class of tight binding lattices in one dimension where a Su-Schrieffer-Heeger (SSH) model exists in disguise. The unit cells of such lattices may have an arbitrarily…

Disordered Systems and Neural Networks · Physics 2025-01-07 Subhajyoti Bid , Arunava Chakrabarti

Band topology has emerged as a novel tool for material design across various domains, including photonic and phononic systems, and metamaterials. A prominent model for band topology is the Su-Schrieffer-Heeger (SSH) chain, which reveals…

Other Condensed Matter · Physics 2024-08-20 Yeongtae Jang , Seokwoo Kim , Eunho Kim , Junsuk Rho

This article studies a non-Hermitian Su-Schrieffer-Heeger (SSH) model which has periodically staggered Hermitian and non-Hermitian dimers. The changes in topological phases of the considered chiral symmetric model with respect to the…

Quantum Physics · Physics 2024-12-30 A Niveth , S Karthiga , M Senthilvelan

Topological insulators are a new class of materials that have attracted significant attention in contemporary condensed matter physics. They are different from the regular insulators and they display novel quantum properties that also…

Mesoscale and Nanoscale Physics · Physics 2020-06-19 Navketan Batra , Goutam Sheet

We report an experimental study of the disordered Su-Schrieffer-Heeger (SSH) model, implemented in a system of coaxial cables, whose radio frequency properties map on to the SSH Hamiltonian. By measuring multiple chains with random hopping…

Disordered Systems and Neural Networks · Physics 2023-11-21 D. M. Whittaker , Maxine M. McCarthy , Qingqing Duan

The Su-Schrieffer-Heeger (SSH) model describes a tight-binding one-dimensional (1D) lattice with alternating nearest-neighbor amplitudes. Despite its mathematically simple and physically intuitive structure, the SSH model is capable of…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Raditya Weda Bomantara

Flat, non-dispersive bands and topological phase transition in multiple Su-Schrieffer-Heeger (SSH) chains, cross-linked via periodically arranged nodal points are explored within a tight binding framework. We give analytic prescription,…

Mesoscale and Nanoscale Physics · Physics 2024-11-20 Sauvik Chatterjee , Sougata Biswas , and Arunava Chakrabarti

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

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

In this paper, we review the basic concepts of topologically protected edge modes using the Su Schrieffer Heeger (SSH) model, originally introduced to describe electrical conductivity in doped polyacetylene polymer chains. We then propose…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 L. Q. English , A. Halchenko , F. Palmero

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
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