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Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been…

A chiral symmetric Su-Schrieffer-Heeger (SSH) chain features topological end states in one of its dimerized configurations. Those mid-gap zero energy states show interesting modifications upon a periodic tuning of the hopping modulations.…

Strongly Correlated Electrons · Physics 2024-05-15 Surajit Mandal , Satyaki Kar

In this work we investigate non-Hermitian topological phase transitions using real-space edge states as a paradigmatic tool. We focus on the simplest non-Hermitian variant of the Su-Schrieffer-Hegger model, including a parameter that…

Strongly Correlated Electrons · Physics 2024-03-15 Rui Aquino , Nei Lopes , Daniel G. Barci

Scattering theory has been suggested as a convenient method to identify topological phases of matter, in particular of disordered systems for which the Bloch band-theory approach is inapplicable. Here we examine this idea, employing as a…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Zhi-Hai Liu , O. Entin-Wohlman , A. Aharony , J. Q. You , H. Q. Xu

In this study topological properties of static and dynamic Su-Schrieffer-Heeger models with staggered further neighbor hopping terms of different extents are investigated. Topological characterization of the static chiral models is…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Rittwik Chatterjee , Asim Kumar Ghosh

In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and…

The interplay between topology and nonlinearity represents a central challenge in modern physics. Here, we investigate this interplay by considering a synthetic Su-Schrieffer-Heeger lattice with all-to-all nonlocal interactions. We find…

Optics · Physics 2026-01-06 Chong-Xiao Chen , Zheng-Wei Zhou , Han Pu , Xi-Wang Luo

We study the extended Su-Schrieffer-Heeger model with both the nearest-neighbor and next-nearest-neighbor hopping strengths being cyclically modulated and find the family of the model system exhibiting topologically nontrivial phases, which…

Mesoscale and Nanoscale Physics · Physics 2014-02-13 Linhu Li , Zhihao Xu , Shu Chen

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

We investigate the topology of the different phases of the extended Su-Schrieffer-Heeger (eSSH) model, which includes hopping processes between translationally inequivalent atoms beyond nearest neighbors. Exact analytical expressions for…

Other Condensed Matter · Physics 2026-04-23 P. A. Grizzi , A. A. Aligia , P. Roura-Bas

Su-Schrieffer-Heeger (SSH) model on two-dimensional square lattice exhibits a topological phase transition, which is related to the Zak phase determined by bulk band topology. The strong modulation of electron hopping causes nontrivial…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Daichi Obana , Feng Liu , Katsunori Wakabayashi

We consider the non-Hermitian, parity-time (PT) symmetric extensions of the one-dimensional Su-Schrieffer-Heeger (SSH) model in the topological non-trivial configuration. We study the properties of the topologically protected edge states,…

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

We study two-particle states in a Su-Shrieffer-Heeger (SSH) chain with periodic boundary conditions and nearest-neighbor (NN) interactions. The system is mapped into a problem of a single particle in a two-dimensional (2D) SSH lattice with…

Strongly Correlated Electrons · Physics 2018-07-05 A. M. Marques , R. G. Dias

Both the Haldane spin-$1$ chain and dimerized chains of spin-$1/2$ exhibit topologically protected edge states that are robust against specific perturbations. Recently, such spin chains have been specifically assembled on surfaces and we…

Strongly Correlated Electrons · Physics 2025-06-03 Alexander Sattler , Maria Daghofer

The concept of local symmetry dynamics has recently been used to demonstrate the evolution of discrete symmetries in one-dimensional chains leading to emergent periodicity. Here we go one step further and show that the unboundedness of this…

Quantum Physics · Physics 2023-07-13 Peter Schmelcher

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 topological phase of the Su-Schrieffer-Heeger (SSH) model is known to exhibit two edge states that are topologically protected by the chiral symmetry. We demonstrate that, for any parameter quench performed on the half-filled SSH chain,…

Mesoscale and Nanoscale Physics · Physics 2022-04-15 Lorenzo Rossi , Fausto Rossi , Fabrizio Dolcini

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

We use the Lindblad equation approach to investigate topological phases hosting more than one localized state at each side of a disordered SSH chain with properly tuned long range hoppings. Inducing a non equilibrium steady state across the…

Strongly Correlated Electrons · Physics 2024-01-31 Emmanuele G. Cinnirella , Andrea Nava , Gabriele Campagnano , Domenico Giuliano