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In this work, we experimentally report the acoustic realization the two-dimensional (2D) Su-Schrieffer-Heeger (SSH) model in a simple network of air channels. We analytically study the steady state dynamics of the system using a set of…

Classical Physics · Physics 2019-09-18 Li-Yang Zheng , Vassos Achilleos , Olivier Richoux , Georgios Theocharis , Vincent Pagneux

We study the ground state of the one-dimensional half-filled Hubbard model with on-site (nearest-neighbor) repulsive interaction $U$ ($V$) and nearest-neighbor hopping $t$. In order to obtain an accurate phase diagram, we consider various…

Strongly Correlated Electrons · Physics 2007-11-20 Satoshi Ejima , Satoshi Nishimoto

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

We study the triangular lattice optical Su-Schrieffer-Heeger (SSH) model using determinant quantum Monte Carlo. By varying the model's carrier concentration, electron-phonon coupling strength, and phonon energy $\Omega$, we identify two…

Strongly Correlated Electrons · Physics 2026-04-07 Max Casebolt , Sohan Malkaruge Costa , Benjamin Cohen-Stead , Richard Scalettar , Steven Johnston

The Su, Schrieffer and Heeger (SSH) model, describing the soliton excitations in polyacetylene due to the formation of antiphase domain walls (DW) from the alternating bond pattern, has served as a paradigmatic example of one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-01-30 Jinwoong Kim , Cheng-Yi Huang , Hsin Lin , David Vanderbilt , Nicholas Kioussis

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

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

Electron-phonon ($e$-ph) interactions arise in many strongly correlated quantum materials from the modulation of the nearest-neighbor hopping integrals, as in the celebrated Su-Schrieffer-Heeger (SSH) model. Nevertheless, relatively few…

Strongly Correlated Electrons · Physics 2025-06-30 Andy Tanjaroon Ly , Benjamin Cohen-Stead , Steven Johnston

We address the effect of nearest-neighbor (NN) interactions on the topological properties of the Su-Schrieffer-Heeger (SSH) chain, with alternating hopping amplitudes t1 and t2. Both numerically and analytically, we show that the presence…

Strongly Correlated Electrons · Physics 2017-04-05 A. M. Marques , R. G. Dias

The Su-Schrieffer-Heeger (SSH) model is fundamental in topological insulators and relevant to understanding higher-order topological phases. This study explores the relationship between the $n$-dimensional SSH model and its…

Superconductivity · Physics 2024-01-29 Feng Liu

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

Topological modes in one- and two-dimensional systems have been proposed for numerous applications utilizing their exotic electronic responses. The zero-energy, topologically protected end modes can be realized in the Su-Schrieffer-Heeger…

Mesoscale and Nanoscale Physics · Physics 2020-03-19 Md Nurul Huda , Shawulienu Kezilebieke , Teemu Ojanen , Robert Drost , Peter Liljeroth

The Su-Schrieffer-Heeger (SSH) model is likely the simplest one-dimensional concept to study non-trivial topological phases and topological excitations. Originally developed to explain the electric conductivity of polyacetylene, it has…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 M. Esmann , F. R. Lamberti , A. Lemaitre , N. D. Lanzillotti-Kimura

The Su-Schrieffer-Heeger (SSH) model describes a one-dimensional $Z_{2}$ topological insulator, which has two topological distinct phases corresponding to two different dimerizations. When spin-orbit coupling is introduced into the SSH…

Strongly Correlated Electrons · Physics 2014-08-19 Zhongbo Yan , Shaolong Wan

We study the phase diagram and the total polarization distribution of the Su-Schrieffer-Heeger model with nearest neighbor interaction in one dimension at half-filling. To obtain the ground state wave-function, we extend the Baeriswyl…

Strongly Correlated Electrons · Physics 2018-10-12 Mohammad Yahyavi , Luqman Saleem , Balázs Hetényi

Simple route of engineering topological phases for any desired value of winding and Chern numbers is found in the Su-Schrieffer-Heeger (SSH) model by adding a further neighbor hopping term of varying distances. It is known that the standard…

Mesoscale and Nanoscale Physics · Physics 2023-05-19 Rakesh Kumar Malakar , Asim Kumar Ghosh

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

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 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

The Hubbard and Su-Schrieffer-Heeger Hamiltonians (SSH) are iconic models for understanding the qualitative effects of electron-electron and electron-phonon interactions respectively. In the two-dimensional square lattice Hubbard model at…

Strongly Correlated Electrons · Physics 2022-08-31 Chunhan Feng , Bo Xing , Dario Poletti , Richard Scalettar , George Batrouni