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We propose a scheme to investigate the topological phase transition and the topological state transfer based on the small optomechanical lattice under the realistic parameters regime. We find that the optomechanical lattice can be…

Quantum Physics · Physics 2020-09-02 Lu Qi , Guo-Li Wang , Shutian Liu , Shou Zhang , Hong-Fu Wang

We consider the quasi Hermitian limit of a non-Hermitian extended Su Schrieffer Heeger model, in which the hopping amplitudes obey a specific relation so that the system may be mapped to a corresponding Hermitian one and its energy spectrum…

Quantum Physics · Physics 2023-08-23 Iao-Fai Io , Cheng-Yuan Huang , Jhih-Shih You , Hao-Chun Chang , Hsien-chung Kao

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

In this paper we discussed the topological transition between trivial and nontrivial phases of a quasi-periodic (Aubry-Andr\'e like) mechanical Su-Schrieffer-Heeger (SSH) model. We find that there exists a nontrivial boundary separating the…

Mesoscale and Nanoscale Physics · Physics 2024-05-29 D. A. Miranda , T. V. C. Antão , N. M. R Peres

We present a detailed study of the fidelity, the entanglement entropy, and the entanglement spectrum, for a dimerized chain of spinless fermions---a simplified Su-Schrieffer-Heeger (SSH) model---with open boundary conditions which is a…

Strongly Correlated Electrons · Physics 2014-10-22 J. Sirker , M. Maiti , N. P. Konstantinidis , N. Sedlmayr

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

We consider a Su-Schrieffer-Heeger chain to which we attach a semi-infinite undimerized chain (lead) to both ends. We study the effect of the openness of the SSH model on its properties. A representation of the infinite system using an…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Alexei Bissonnette , Nicolas Delnour , Andrew Mckenna , Hichem Eleuch , Michael Hilke , Richard MacKenzie

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

Topological insulators are a class of electronic materials exhibiting robust edge states immune to perturbations and disorder. This concept has been successfully adapted in photonics, where topologically nontrivial waveguides and…

We present a continuous non-local model that faithfully replicates the rich topological and spectral features of the Su-Schrieffer-Heeger (SSH) model. Remarkably, our model shares the SSH models bulk energy spectrum, eigenstates, and Zak…

Quantum Physics · Physics 2025-11-11 Fotios K. Diakonos , P. Schmelcher

It has been proposed recently by some of the authors that the quantum phase transition of a topological insulator like the SSH model may be detected by the eigenvalues and eigenvectors of the reduced density matrix. Here we further extend…

Strongly Correlated Electrons · Physics 2019-03-27 Wing Chi Yu , P. D. Sacramento , Yan Chao Li , D. G. Angelakis , Hai-Qing Lin

We employ electric circuit networks to study topological states of matter in non-Hermitian systems enriched by parity-time symmetry $\mathcal{PT}$ and chiral symmetry anti-$\mathcal{PT}$ ($\mathcal{APT}$). The topological structure…

The Su-Schrieffer-Heeger chain is a prototype example of a symmetry-protected topological insulator. Coupling it non-perturbatively to local thermal environments, either through the intercell or the intracell fermion tunneling elements,…

Mesoscale and Nanoscale Physics · Physics 2024-09-11 Brett Min , Kartiek Agarwal , Dvira Segal

Recent experimental advance in creating dissipative couplings provides a new route for engineering exotic lattice systems and exploring topological dissipation. Using the spatial lattice of atomic spinwaves in a vacuum vapor cell, where…

Quantum Physics · Physics 2023-04-26 Dongdong Hao , Lin Wang , Xingda Lu , Xuzhen Cao , Suotang Jia , Ying Hu , Yanhong Xiao

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

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

A recently-proposed class of photonic topological insulators is shown to map onto Chalker-Coddington-type networks, which were originally formulated to study disordered quantum Hall systems. Such network models are equivalent to the Floquet…

Mesoscale and Nanoscale Physics · Physics 2014-02-17 Michael Pasek , Y. D. Chong

Two-dimensional (2D) model of a weak topological insulator with $N$-stacked Su-Schrieffer-Heeger (SSH) chain is studied. This study starts with a basic model with all the fundamental symmetries (chiral, time-reversal, and particle-hole)…

Strongly Correlated Electrons · Physics 2023-09-06 Aayushi Agrawal , Jayendra N. Bandyopadhyay

We construct a family of chiral symmetry-protected third-order topological insulators by stacking Su-Schrieffer-Heeger (SSH) chains and provide a unified topological characterization by a series of Bott indices. Our approach is informed by…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 Xun-Jiang Luo , Jia-Zheng Li , Meng Xiao , Fengcheng Wu

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
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