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Motivated by recent experimental realizations of topological edge states in Su-Schrieffer-Heeger (SSH) chains, we theoretically study a ladder system whose legs are comprised of two such chains. We show that the ladder hosts a rich phase…

介观与纳米尺度物理 · 物理学 2018-08-01 Karmela Padavić , Suraj S Hegde , Wade DeGottardi , Smitha Vishveshwara

We study the topological phase transition in a two-leg Su-Schrieffer-Heeger (SSH) ladder by redefining the unit-cell structure. For both identical hopping dimerization pattern (uniform) and alternate hopping dimerization pattern (staggered)…

其他凝聚态物理 · 物理学 2026-03-31 Anish Kuanr , Rajashri Parida , Saralasrita Mohanty , Tapan Mishra

We investigate the edge states and the topological phase transitions in a class of tight binding lattices in one dimension where a Su-Schrieffer-Heeger (SSH) model exists in disguise. The unit cells of such lattices may have an arbitrarily…

无序系统与神经网络 · 物理学 2025-01-07 Subhajyoti Bid , Arunava Chakrabarti

We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D) super-lattice potential with alternating tunneling rates t_1 and t_2 and inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger (SSH) model. A…

量子气体 · 物理学 2014-10-08 Fabian Grusdt , Michael Höning , Michael Fleischhauer

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…

介观与纳米尺度物理 · 物理学 2023-07-03 Alexei Bissonnette , Nicolas Delnour , Andrew Mckenna , Hichem Eleuch , Michael Hilke , Richard MacKenzie

Higher-order topological phases feature topologically protected boundary states in lower dimensions. Specifically, the zero-dimensional corner states are protected by the $d$th-order topology of a $d$-dimension system. In this work, we…

介观与纳米尺度物理 · 物理学 2018-12-05 Linhu Li , Muhammad Umer , Jiangbin Gong

Topological phases of matter have attracted much attention over the years. Motivated by analogy with photonic lattices, here we examine the edge states of a one-dimensional trimer lattice in the phases with and without inversion symmetry…

介观与纳米尺度物理 · 物理学 2019-01-30 V. M. Martinez Alvarez , M. D. Coutinho-Filho

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

Topological edge states appear at the interface of topologically distinct two Hermitian insulators. We study the extension of this idea to non-Hermitian systems. We consider PT symmetric and topologically distinct non-Hermitian insulators…

介观与纳米尺度物理 · 物理学 2019-05-21 C. Yuce

We demonstrate dynamical topological phase transitions in evolving Su-Schrieffer-Heeger (SSH) lattices made of interacting soliton arrays, which are entirely driven by nonlinearity and thereby exemplify emergent nonlinear topological…

We investigate the edge state of a two-dimensional topological insulator based on the Kane-Mele model. Using complex wave numbers of the Bloch wave function, we derive an analytical expression for the edge state localized near the edge of a…

介观与纳米尺度物理 · 物理学 2014-08-21 Hyeonjin Doh , Gun Sang Jeon , Hyoung Joon Choi

Ladder architectures are fruitful systems to realize topological phases of matter. Here we present a classification of ladder models giving rise to topological insulators. We identify six different types of topological ladder models, three…

量子气体 · 物理学 2019-07-29 Carlos G. Velasco , Belén Paredes

Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other…

介观与纳米尺度物理 · 物理学 2024-07-09 C. A. Downing , L. Martín-Moreno , O. I. R. Fox

A second-order topological insulator on a two-dimensional square lattice hosts zero-dimensional states inside a band gap. They are localized near $90^{\circ}$ and $270^{\circ}$ corners constituting an edge of the system. When the edge is in…

介观与纳米尺度物理 · 物理学 2021-09-22 Yuki Nagasato , Yositake Takane , Yukinori Yoshimura , Shin Hayashi , Takeshi Nakanishi

We investigate theoretically the topological properties of dimerized quasi-one-dimensional (1D) lattice comprising of multi legs $(L)$ as well as multi sublattices $(R)$. The system has main and subsidiary exchange symmetries. In the basis…

介观与纳米尺度物理 · 物理学 2022-11-15 Milad Jangjan , Mir Vahid Hosseini

We construct microscopical models of one-dimensional non-interacting topological insulators in all of the chiral universality classes. Specifically, we start with a deformation of the Su-Schrieffer-Heeger (SSH) model that breaks…

介观与纳米尺度物理 · 物理学 2023-03-01 Polina Matveeva , Tyler Hewitt , Donghao Liu , Kethan Reddy , Dmitri Gutman , Sam T. Carr

Topologically engineered optical materials support robust light transport. Herein, the investigated non-Hermitian lattice is trimerized and inhomogeneously coupled using uniform intracell coupling. The topological properties of the coupled…

介观与纳米尺度物理 · 物理学 2018-03-20 L. Jin

We report the first observation of lasing in topological edge states in a 1D Su-Schrieffer-Heeger active array of resonators. We show that in the presence of chiral-time ($\mathcal{CT}$) symmetry, this non-Hermitian topological structure…

We examine the quench dynamics of an extended Su-Schrieffer-Heeger(SSH) model involving long-range hopping that can hold multiple topological phases. Using winding number diagrams to characterize the system's topological phases…

量子物理 · 物理学 2024-05-03 Anirban Ghosh , Andy M. Martin , Sonjoy Majumder

We consider the Su-Schrieffer-Heeger (SSH) chain, which has 0, 1, or 2 topological edge states depending on the ratio of the hopping parameters and the parity of the chain length. We couple a qubit to one edge of the SSH chain and a…

介观与纳米尺度物理 · 物理学 2023-09-21 Meri Zaimi , Christian Boudreault , Nouédyn Baspin , Nicolas Delnour , Hichem Eleuch , Richard MacKenzie , Michael Hilke
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