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This paper concerns the topological classification of continuous Hamiltonians that find applications in biased cold plasmas and photonics. Besides a magnetic bias, the Hamiltonians are parametrized by a plasma frequency and a fixed vertical…

数学物理 · 物理学 2026-04-20 Matthew Frazier , Guillaume Bal

We examine the role of strong nonlinearity on the topologically-robust edge state in a one-dimensional system. We consider a chain inspired from the Su-Schrieffer-Heeger model, but with a finite-frequency edge state and the dynamics…

斑图形成与孤子 · 物理学 2021-01-20 Rajesh Chaunsali , Haitao Xu , Jinkyu Yang , Panayotis G. Kevrekidis , Georgios Theocharis

We present a class of mechanical lattices based on elliptical gears with quasiperiodic modulation and geometric nonlinearity, capable of exhibiting topologically protected modes and amplitude-driven transitions. Starting from a…

应用物理 · 物理学 2025-08-11 Shuaifeng Li , Di Zhou , Feng Li , Panayotis G. Kevrekidis , Jinkyu Yang

We investigate topological and disorder effects in non-Hermitian systems with chiral symmetry. The system under consideration consists in a finite Su-Schrieffer-Heeger chain to which two semi-infinite leads are attached. The system lacks…

介观与纳米尺度物理 · 物理学 2020-12-30 B. Ostahie , A. Aldea

A characteristic feature of topological systems is the presence of robust gapless edge states. In this work the effect of time-dependent perturbations on the edge states is considered. Specifically we consider perturbations that can be…

超导电性 · 物理学 2017-01-16 P. D. Sacramento

The one-dimensional Su-Schrieffer-Heeger (SSH) model is a prototype model in the field of topological condensed matter physics, and the existence and characteristics of its topological edge states are crucial for revealing the topological…

介观与纳米尺度物理 · 物理学 2025-09-23 Weibo Xu

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

量子物理 · 物理学 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

Studying the edge states of a topological system and extracting their topological properties is of great importance in understanding and characterizing these systems. In this paper, we present a novel analytical approach for obtaining…

介观与纳米尺度物理 · 物理学 2023-12-19 Mozhgan Sadeghizadeh , Morteza Soltani , Mohsen Amini

The bulk-edge correspondence guarantees that the interface between two topologically distinct insulators supports at least one topological edge state that is robust against static perturbations. Here, we address the question of how dynamic…

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…

超导电性 · 物理学 2023-03-29 Ying Wang , Gautam Rai , Stephan Haas , Anuradha Jagannathan

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

介观与纳米尺度物理 · 物理学 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

In polymer science, cross-linking of polymer chains yields a substantially modified system compared to the one-dimensional constituent chains, due to the increase of dimensionality and effective seeding by defects (cross-linking sites).…

介观与纳米尺度物理 · 物理学 2022-08-25 A. Sivan , M. Orenstein

We use the bulk Hamiltonian for a three-dimensional topological insulator such as $\rm Bi_2 Se_3$ to study the states which appear on its various surfaces and along the edge between two surfaces. We use both analytical methods based on the…

介观与纳米尺度物理 · 物理学 2015-06-18 Oindrila Deb , Abhiram Soori , Diptiman Sen

Topological magnon insulators exhibit robust edge modes with chiral properties similar to quantum Hall edge states. However, due to their strong localization at the edges, interactions between these chiral edge magnons can be significant,…

强关联电子 · 物理学 2026-01-12 Stefan Birnkammer , Michael Knap , Johannes Knolle , Alexander Mook , Alvise Bastianello

Flat, non-dispersive bands and topological phase transition in multiple Su-Schrieffer-Heeger (SSH) chains, cross-linked via periodically arranged nodal points are explored within a tight binding framework. We give analytic prescription,…

介观与纳米尺度物理 · 物理学 2024-11-20 Sauvik Chatterjee , Sougata Biswas , and Arunava Chakrabarti

We study the Su-Schrieffer-Hegger model, perhaps the simplest realization of a topological insulator, in the presence of an embedded impurity superlattice. We consider the impact of the said impurity by changing the hopping amplitudes…

材料科学 · 物理学 2024-02-09 Julio César Pérez-Pedraza , José Eduardo Barrios-Vargas , Alfredo Raya

A model for two-dimensional electronic, photonic, and mechanical metamaterial systems is presented, which has flat one-dimensional zero-mode energy bands and stable localized states of a topological origin confined within twin boundaries,…

介观与纳米尺度物理 · 物理学 2019-02-06 Linghua Zhu , Emil Prodan , Keun Hyuk Ahn

If a full band gap closes and then reopens when we continuously deform a periodic system while keeping its symmetry, a topological phase transition usually occurs. A common model demonstrating such a topological phase transition in…

经典物理 · 物理学 2018-11-26 Xin Li , Yan Meng , Xiaoxiao Wu , Sheng Yan , Yingzhou Huang , Shuxia Wang , Weijia Wen

We investigate a non-Hermitian quantum battery based on the Su-Schrieffer-Heeger (SSH) lattice, charged through a parity-time (PT)-symmetric protocol that alternates gain and loss between the two sublattices. The interplay between lattice…

量子物理 · 物理学 2026-04-16 A-Long Zhou , Ya-Wen Xiao , Nuo Xu , Li-Li Gao , Long-Jie Li , Hang Zhou , Zi-Min Li , Chuan-Cun Shu

Topological photonic systems offer a robust platform for guiding light in the presence of disorder, but their interplay with quantum emitters remains a frontier for realizing strongly correlated quantum states. Here, we explore a…

光学 · 物理学 2025-11-26 Fatemeh Davoodi