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Periodically driven quantum systems can exhibit subharmonic response, usually characterized through physical observables and often discussed in interacting settings. Here we show that a sharp subharmonic signature already appears in the…

量子物理 · 物理学 2026-04-28 Rishabh Jha

Topological phases supported by quasi-periodic spin-chain models and their bulk-boundary principles are investigated by numerical and K-theoretic methods. We show that, for both the un-correlated and correlated phases, the operator algebras…

强关联电子 · 物理学 2024-02-13 Yifei Liu , Lea F. Santos , Emil Prodan

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…

介观与纳米尺度物理 · 物理学 2019-09-04 Daichi Obana , Feng Liu , Katsunori Wakabayashi

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is…

量子物理 · 物理学 2016-04-04 Tony E. Lee

Helical edge states in quantum spin Hall (QSH) materials are central building blocks of topological matter design and engineering. Despite their principal topological protection against elastic backscattering, the level of operational…

介观与纳米尺度物理 · 物理学 2023-05-05 Maciej Bieniek , Jukka I. Väyrynen , Gang Li , Titus Neupert , Ronny Thomale

We analyze the static and dynamical properties of a one-dimensional topological lattice, the fermionic Su-Schrieffer-Heeger model, in the presence of on-site interactions. Based on a study of charge and spin correlation functions, we…

量子气体 · 物理学 2018-06-06 L. Barbiero , L. Santos , N. Goldman

We examine topological phases and symmetry-protected electronic edge states in the context of a Rydberg composite: a Rydberg atom interfaced with a structured arrangement of ground-state atoms. The electronic Hamiltonian of such a composite…

量子物理 · 物理学 2024-05-20 Matthew T. Eiles , Christopher W. Wächtler , Alexander Eisfeld , Jan M. Rost

We study electron transport at the edge of a generic disordered two-dimensional topological insulator, where some channels are topologically protected from backscattering. Assuming the total number of channels is large, we consider the edge…

介观与纳米尺度物理 · 物理学 2016-03-08 E. Khalaf , M. A. Skvortsov , P. M. Ostrovsky

Topological edge modes are excitations that are localized at the materials' edges and yet are characterized by a topological invariant defined in the bulk. Such bulk-edge correspondence has enabled the creation of robust electronic,…

介观与纳米尺度物理 · 物理学 2020-11-30 Ananya Ghatak , Martin Brandenbourger , Jasper van Wezel , Corentin Coulais

This study presents an approach that leverages the existing knowledge acquired in one-dimensional BDI class discrete metamaterials, such as mass-spring systems or acoustic resonators, and exploits it to realize fully continuous elastic…

应用物理 · 物理学 2026-02-27 Mohit Kumar , Fabio Semperlotti

In order to transport information with topological protection, we reveal and demonstrate experimentally the existence of a characteristic length $L_c$, coined as the transport length, in the bulk size for edge states in one-dimensional…

Tight-binding model on a finite chain is studied with four-fold alternated hopping parameters $t_{1,2,3,4}$. Imposing the open boundary conditions, the corresponding recursion is solved analytically with special attention paid to the…

介观与纳米尺度物理 · 物理学 2017-07-03 M. Eliashvili , D. Kereselidze , G. Tsitsishvili , M. Tsitsishvili

The discrete Hamiltonian of Su, Schrieffer and Heeger (SSH) is a well-known one-dimensional translation-invariant model in condensed matter physics. The model consists of two atoms per unit cell and describes in-cell and out-of-cell…

数学物理 · 物理学 2022-11-30 Jacob Shapiro , Michael I. Weinstein

In recent years, the study of topologically non-trivial structures in one-dimensional models has been dominated by the Su--Schrieffer--Heeger model due to its simplicity in design and its ability to support edge states with robustness to…

介观与纳米尺度物理 · 物理学 2024-05-01 Valerii Kachin , Juan Camilo López Carreño , Magdalena Stobińska

Topological states have been widely investigated in different types of systems and lattices. In the present work, we report on topological edge states in double-wave (DW) chains, which can be described by a generalized Aubry-Andr\'e-Harper…

量子气体 · 物理学 2024-01-17 Tobias Schneider , Wenlong Gao , Thomas Zentgraf , Stefan Schumacher , Xuekai Ma

We present an exact analytical investigation of the topological properties and edge states of the Haldane model defined on a honeycomb lattice with zigzag edges. By exploiting translational symmetry along the ribbon direction, we perform a…

介观与纳米尺度物理 · 物理学 2025-05-28 Ghassan Al-Mahmood , Mohsen Amini , Ebrahim Ghanbari-Adivi , Morteza Soltani

Topological insulating phases are primarily associated with condensed-matter systems, which typically feature short-range interactions. Nevertheless, many realizations of quantum matter can exhibit long-range interactions, and it is still…

量子物理 · 物理学 2017-11-29 Pedro Nevado , Samuel Fernández-Lorenzo , Diego Porras

The localization is one of the active and fundamental research in topology physics. Based on a generalized Su-Schrieffer-Heeger model with the quasiperiodic non-Hermitian emerging at the off-diagonal location, we propose a novel systematic…

量子物理 · 物理学 2022-07-04 Gang-Feng Guo , Xi-Xi Bao , Lei Tan

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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 2025-06-03 Alexander Sattler , Maria Daghofer