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Quantized conductance from topologically protected edge states is a hallmark of two-dimensional topological phases. In contrast, edge states in one-dimensional (1D) topological systems cannot transmit current across the insulating bulk,…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Bozhen Zhou , Pan Zhang , Yucheng Wang , Chao Yang

We study the stability of the topological phase in one-dimensional Su-Schrieffer-Heeger chain subject to the quasiperiodic hopping disorder. We investigate two different hopping disorder configurations, one is the Aubry-Andr\'{e}…

Disordered Systems and Neural Networks · Physics 2018-10-08 Tong Liu , Hao Guo

Bound states in the continuum, originally proposed within the framework of quantum mechanics, have since been observed in a variety of physical contexts, including electromagnetism, acoustics, and optics. Of particular interest are those…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Dunkan Martinez , Rodrigo P A Lima , Alexander Lopez , Francisco Dominguez-Adame , Pedro A Orellana

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

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

Controlling the topological properties of quantum matter is a major goal of condensed matter physics. A major effort in this direction has been devoted to using classical light in the form of Floquet drives to manipulate and induce states…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Olesia Dmytruk , Marco Schirò

We explore the physics of topological lattice models in c-QED architectures for arbitrary coupling strength, and the use of the cavity transmission as a topological marker. For this, we develop an approach combining the input-output…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Beatriz Pérez-González , Álvaro Gómez-León , Gloria Platero

We consider the non-Hermitian, parity-time (PT) symmetric extensions of the one-dimensional Su-Schrieffer-Heeger (SSH) model in the topological non-trivial configuration. We study the properties of the topologically protected edge states,…

In this work we study many-body 'steady states' that arise in the non-Hermitian generalisation of the non-interacting Su-Schrieffer-Heeger model at a finite density of fermions. We find that the hitherto known phase diagrams for this…

Mesoscale and Nanoscale Physics · Physics 2022-05-17 Ayan Banerjee , Suraj S. Hegde , Adhip Agarwala , Awadhesh Narayan

We consider an extended trimer Su-Schrieffer-Heeger (SSH) tight-binding Hamiltonian keeping up to next-nearest-neighbor (NNN) hopping terms and on-site potential energy. The Bloch Hamiltonian can be expressed in terms of all the eight…

Mesoscale and Nanoscale Physics · Physics 2024-09-20 Sonu Verma , Tarun Kanti Ghosh

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 one-dimensional Su-Schrieffer-Heeger (SSH) model is central to band topology in condensed matter physics, which allows us to understand and design distinct topological states. In this work, we find another mechanism to analogize the SSH…

Mesoscale and Nanoscale Physics · Physics 2024-05-22 Yuanjun Jin , XingYu Yue , Yong Xu , Xiang-Long Yu , Guoqing Chang

In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and…

$\mathbb{Z}$-classified topological phases lead to larger-than-unity topological states. However, these multiple topological states are only localized at the corners in nonlocal systems. Here, first, we rigorously prove that the multiple…

Mesoscale and Nanoscale Physics · Physics 2025-01-07 Yimeng Sun , Linjuan Wang , Huiling Duan , Jianxiang Wang

The Su-Schrieffer-Heeger (SSH) model, a prime example of a one-dimensional topologically nontrivial insulator, has been extensively studied in flat space-time. In recent times, many studies have been conducted to understand the properties…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Priyanuj Rajbongshi , Ranjan Modak

Advances in the next generation of mesoscopic electronics require an understanding of topological phases in inhomogeneous media and the principles that govern them. Motivated by the nature of motifs available in printable conducting inks,…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Nirnoy Basak , Ritajit Kundu , Basudeb Mondal , Adhip Agarwala

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 emergence of non equilibrium topological phases in low dimensional systems offers an interesting route for material properties engineering. We analyze the dynamical modulation of two coupled one-dimensional chains, described by the…

Mesoscale and Nanoscale Physics · Physics 2022-03-30 Carla Borja , Esther Gutiérrez , Alexander López

The Su-Schrieffer-Heeger (SSH) model describes the dynamics of spinless fermions in a one-dimensional lattice, with sublattices $A$ and $B$, and governed by staggered hopping potentials $v$ and $w$ representing the intracell and intercell…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 Dyn Paulo C. Dasallas , Eduardo C. Cuansing

Topological phase transitions can be described by the theory of critical phenomena and identified by critical exponents that define their universality classes. This is a consequence of the existence of a diverging length at the transition…

Mesoscale and Nanoscale Physics · Physics 2019-12-05 S. Rufo , Nei Lopes , Mucio A. Continentino , Griffith M. A. R