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Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one-dimensional topological phases -- in particular the Su-Schrieffer-Heeger model. In the process, we delve upon ideas of…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Anantha Hegde , Adarsh Kumar , Adhip Agarwala , Bhaskaran Muralidharan

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

Cavity materials are a frontier to investigate the role of light-matter interactions on the properties of electronic phases of matter. In this work, we raise a fundamental question: can non-local interactions mediated by cavity photons…

Strongly Correlated Electrons · Physics 2023-08-21 Daniel Shaffer , Martin Claassen , Ajit Srivastava , Luiz H. Santos

We investigate localization and reentrance in a dimerized Su-Schrieffer-Heeger (SSH) tight-binding chain whose on-site energies are given by a quasiperiodic cosine masked by a deterministic Thue-Morse sequence. Working with non-interacting,…

Disordered Systems and Neural Networks · Physics 2025-12-23 Taylan Yildiz , B. Tanatar

We introduce a topological photonic-crystal fiber that embeds a short Su-Schrieffer-Heeger (SSH) chain and supports two edge supermodes. Using full-vector modal analysis and a coupled generalized nonlinear Schroedinger equation, we show…

The Su-Schrieffer-Heeger (SSH) model serves as a canonical example of a one-dimensional topological insulator, yet its behavior under more complex, realistic conditions remains a fertile ground for research. This paper presents a…

Materials Science · Physics 2025-06-13 Souvik Ghosh , Sayak Roy

We show that mutual statistics between quantum particles can be tuned to generate emergent novel few particle quantum mechanics for the boundary modes of symmetry-protected topological phases of matter. As a concrete setting, we study a…

Strongly Correlated Electrons · Physics 2021-05-26 Saikat Santra , Adhip Agarwala , Subhro Bhattacharjee

We investigate the formation of multipole topological solitons at the edges of two and three coupled parallel Su-Schrieffer-Heeger (SSH) waveguide arrays. We show that independent variations of waveguide spacing in the unit cells (dimers)…

Optics · Physics 2024-06-28 Khalil Sabour , Yaroslav V. Kartashov

Recent studies of moir\'e physics have unveiled a wealth of opportunities for significantly advancing the field of quantum phase transitions. However, properties of reentrant phase transitions driven by moir\'e strength are poorly…

Quantum Physics · Physics 2026-01-16 Guo-Qing Zhang , L. F. Quezada , Shi-Hai Dong

The canonical Su-Schrieffer-Heeger (SSH) model is one of the basic geometries that have spurred significant interest in topologically nontrivial bandgap modes with robust properties. Here, we show that the inclusion of suitable third-order…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Yakir Hadad , Alexander B. Khanikaev , Andrea Alu

It is well known that the topology of Su-Schrieffer-Heeger(SSH) model, which belongs to AIII symmetry class, is protected by chiral symmetry. In this article, instead of chiral symmetry, we constrain the bulk Hamiltonian by a magnetic point…

Materials Science · Physics 2020-11-30 Chi-Ho Cheung , Jinyu Zou

We investigate interacting Su-Schrieffer-Heeger (SSH) chains with two- and three-site unit cells using density matrix renormalization group (DMRG) simulations. By selecting appropriate filling fractions and sweeping across interaction…

Strongly Correlated Electrons · Physics 2025-12-18 Yuxiao Hang , Stephan Haas

Hybridization of resonances is known to overcome inherent limitations of individual systems, enabling advanced functionalities and applications. Here we discuss hybrid plasmonic-Mie resonators that emerged recently as a promising direction…

Unlocking the potential of topological order within many-body spin systems has long been a central pursuit in the realm of quantum materials. Despite extensive efforts, the quest for a versatile platform enabling site-selective spin…

Theoretical studies suggest that Su-Schrieffer-Heeger-like electron-phonon ($e$-ph) interactions can mediate high-temperature bipolaronic superconductivity that is robust against repulsive electron-electron interactions. Here we present a…

Superconductivity · Physics 2023-07-21 Andy Tanjaroon Ly , Benjamin Cohen-Stead , Sohan Malkaruge Costa , Steven Johnston

We study the radiative heat transfer through a Su-Schrieffer-Heeger chain of plasmonic InSb nanoparticles in close vicinity of an InSb substrate. We show how the frequency bands of the in-plane and out-of-plane modes in the chain are…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 A. Naeimi , F. Herz , S. -A. Biehs

We study a one-dimensional plasmonic system with non-trivial topology: a chain of metallic nanoparticles with alternating spacing, which is the plasmonic analogue to the Su-Schreiffer-Heeger model. We extend previous efforts by including…

Mesoscale and Nanoscale Physics · Physics 2019-12-30 Simon R. Pocock , Paloma A. Huidobro , Vincenzo Giannini

The Su-Schrieffer-Heeger (SSH) model, commonly used for robust state transfers through topologically protected edge pumping, has been generalized and exploited to engineer diverse functional quantum devices. Here, we propose to realize a…

Quantum Physics · Physics 2023-04-12 Jia-Ning Zhang , Jin-Xuan Han , Jin-Lei Wu , Jie Song , Yong-Yuan Jiang

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

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
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