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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

The discrete Hamiltonian of Su, Schrieffer and Heeger (SSH) is a well-known one-dimensional translation-invariant model in condensed matter physics. The model consists of two atoms per unit cell and describes in-cell and out-of-cell…

Mathematical Physics · Physics 2022-11-30 Jacob Shapiro , Michael I. Weinstein

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 Su-Schrieffer-Heeger (SSH) chain is the reference model of a one-dimensional topological insulator. Its topological nature can be explained by the quantization of the Zak phase, due to reflection symmetry of the unit cell, or of the…

Mesoscale and Nanoscale Physics · Physics 2023-10-12 Malte Röntgen , Xuelong Chen , Wenlong Gao , Maxim Pyzh , Peter Schmelcher , Vincent Pagneux , Vassos Achilleos , Antonin Coutant

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

The Su-Schrieffer-Heeger (SSH) model, which captures the most striking transport properties of the conductive organic polymer $trans$-polyacetylene, provides perhaps the most basic model system supporting topological excitations. The…

Quantum Gases · Physics 2017-05-12 Eric J. Meier , Fangzhao Alex An , Bryce Gadway

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

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

The Su-Schrieffer-Heeger (SSH) model lays the foundation of many important concepts in quantum topological matters. Since it tells one that topological states may be distinguished by abelian geometric phases, a question naturally arises as…

Quantum Gases · Physics 2017-06-28 Shao-Liang Zhang , Qi Zhou

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

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

The Su-Schrieffer-Heeger (SSH) model describes a finite one-dimensional dimer lattice with first-neighbour hoppings populated by non-interacting electrons. In this work we study a generalization of the SSH model including longer-range…

Mesoscale and Nanoscale Physics · Physics 2018-10-05 Beatriz Pérez-González , Miguel Bello , Álvaro Gómez-León , Gloria Platero

The on-site potentials may break the symmetry of a system, resulting in the loss of its original topology protected by the symmetry. In this work, we study the counteracting effect of non-Hermitian terms on real potentials, resulting in…

Strongly Correlated Electrons · Physics 2025-06-09 E. S. Ma , K. L. Zhang , Z. Song

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 is a fundamental lattice model used to study topological physics. Here, we propose a new versatile one-dimensional (1D) lattice model that extends beyond the SSH model. Our 1D model breaks chiral…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Qing Wang , Ning Hao

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…

I consider a particle in the topologically non-trivial Su-Schrieffer-Heeger (SSH) model interacting strongly with a mobile impurity, whose quantum dynamics is described by a topologically trivial Hamiltonian. A particle in the SSH model…

Quantum Gases · Physics 2019-07-24 Manuel Valiente

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

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

In this letter we summarise our study of Su-Schrieffer-Hegger(SSH) model with a one dimensional non-orientable manifold as bulk. For this purpose a SSH model with any bulk (SAB) is introduced. We observe the following: (1) The topology of…

Mesoscale and Nanoscale Physics · Physics 2023-03-02 Bharathiganesh Devanarayanan
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