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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

The Su-Schrieffer-Heeger (SSH) model, with bond phonons modulating electron tunneling, is a paradigmatic electron-phonon model that hosts an antiferromagnetic order to bond order transition at half-filling. In the presence of repulsive…

Strongly Correlated Electrons · Physics 2023-10-13 Bo Xing , Chunhan Feng , Richard Scalettar , G. George Batrouni , Dario Poletti

We study the ground-state phase diagram of an interacting staggered Su-Schrieffer-Heeger (SSH) ladder in the vicinity of the Gaussian quantum critical point. The corresponding effective field theory is a double-frequency sine-Gordon (DSG)…

Strongly Correlated Electrons · Physics 2020-07-15 A. A. Nersesyan

We study the topological properties of hardcore bosons on a two-leg ladder consisting of two Su-Schrieffer-Heeger (SSH) chains that are coupled via hopping and interaction. We chart out the phase diagram for the system and show that based…

Quantum Gases · Physics 2023-06-16 Ashirbad Padhan , Suman Mondal , Smitha Vishveshwara , Tapan Mishra

Topological models are characterized by a quantized topological invariant and provide a description of novel phases of matter that can exhibit localized edge states, corner modes, and chiral transport. We experimentally realize two 1-D…

We systematically investigate the finite-size effects in non-Hermitian one-dimensional (1D) Su-Schrieffer-Heeger (SSH) and two-dimensional (2D) Chern insulator models. Using a combination of analytical and numerical calculations, we show…

Mesoscale and Nanoscale Physics · Physics 2019-04-30 Rui Chen , Chui-Zhen Chen , Bin Zhou , Dong-Hui Xu

Working in the context of the Su-Schreiffer-Heeger (SSH) model, the effect of topological transitions on the structure and properties of bulk position-space wavefunctions is studied for a particle undergoing a quantum walk in a…

Quantum Physics · Physics 2018-08-31 David S. Simon , Shuto Osawa , Alexander V. Sergienko

The interacting SSH model provides an ideal ground to study the interplay between topologically insulating phases and electron-electron interactions. We study the polarization density as a topological invariant and provide an analytic…

Strongly Correlated Electrons · Physics 2024-11-19 E. Di Salvo , A. Moustaj , C. Xu , L. Fritz , A. K. Mitchell , C. Morais Smith , D. Schuricht

We construct a two-leg ladder dimer model by using two orbitals instead of one in Su-Schrieffer-Heeger (SSH) dimer chain and find out a chiral symmetry in it. In this model, the otherwise-hidden additional chiral symmetry allows us to…

Strongly Correlated Electrons · Physics 2015-06-23 Jin-Yu Zou , Bang-Gui Liu

We extend the standard SSH model to include long range hopping and disorder, and study how the electronic and topological properties are affected. We show that long range hopping can change the symmetry class and the topological invariant,…

Mesoscale and Nanoscale Physics · Physics 2019-02-07 Beatriz Pérez-González , Miguel Bello , Álvaro Gómez-León , Gloria Platero

Topological systems furnish a powerful way of localizing wave energy at edges of a structured material. Usually this relies on Bragg scattering to obtain bandgaps with nontrivial topological structures. However, this limits their…

Classical Physics · Physics 2022-06-15 Antonin Coutant , Vassos Achilleos , Olivier Richoux , Georgios Theocharis , Vincent Pagneux

We simulate the the Su-Schrieffer-Heeger (SSH) model using Rydberg-atom synthetic dimensions constructed, in a single atom, from a ladder of six neighboring $n\:^3S_1$ Rydberg states in which adjacent states are coupled with two-photon…

Quantum Physics · Physics 2024-04-30 Yi Lu , Chuanyu Wang , Soumya K. Kanungo , F. Barry Dunning , Thomas C. Killian

The usual Su-Schrieffer-Heeger model with an even number of lattice sites possesses two degenerate zero energy modes. The degeneracy of the zero energy modes leads to the mixing between the topological left and right edge states, which…

Quantum Physics · Physics 2020-08-26 Lu Qi , Guo-Li Wang , Shutian Liu , Shou Zhang , Hong-Fu Wang

This communication presents an examination of a two-dimensional, non-Hermitian Su -Schrieffer-Heeger (SSH) model, which is differentiated from its conventional Hermitian counterpart by incorporating gain and/or loss terms, mathematically…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Udai Prakash Tyagi , Partha Goswami

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

We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is known to possess a non-trivial topological band structure. For this model, which is characterized by a single parameter, the hopping ratio $0 \leq r\leq…

Superconductivity · Physics 2023-03-29 Ying Wang , Gautam Rai , Stephan Haas , Anuradha Jagannathan

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the…

Quantum Physics · Physics 2022-09-21 Ciaran McDonnell , Beatriz Olmos

Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states that mediate decoherence-free, tunable emitter-emitter interactions. Recently, it has been shown that when these band-gaps…

Quantum Physics · Physics 2021-11-29 Carlos Vega , Miguel Bello , Diego Porras , Alejandro González-Tudela

We study two coupled Su-Schrieffer-Heeger (SSH) chains system, which is shown to contain rich quantum phases associated with topological invariants protected by symmetries. In the weak coupling region, the system supports two non-trivial…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Ci. Li , Sen. Lin , Gang. Zhang , Zhi. Song

We explore deformations of finite chains of independent fermions which give rise to large correlations between their extremes. After a detailed study of the Su-Schrieffer-Heeger (SSH) model, the trade-off curve between end-to-end…

Strongly Correlated Electrons · Physics 2018-12-19 Hernán Santos , José E. Alvarellos , Javier Rodríguez-Laguna