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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

We study the emergence of topological superconductivity in a two-dimensional (2D) Weyl system, composed of stacked Su-Schrieffer-Heeger (SSH) chains. A previous analysis of the model showed that the addition of an attractive Hubbard…

Superconductivity · Physics 2022-08-18 Peter Rosenberg , Efstratios Manousakis

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

We construct a quasi-two-dimensional Su Schrieffer-Heeger model (SSH) like model and uncover a rich set of topological phases with nontrivial spin textures in the presence of complex hopping and spin orbit coupling. Despite its simple…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Hemant K Sharma , Saptarshi Mandal , Kush Saha

We analyze the topological properties of a family of generalized Su-Schrieffer-Heeger (SSH) chains and mesh geometries. In both the geometries the usual staggering in the distribution of the two overlap integrals is delayed (in space) by…

Mesoscale and Nanoscale Physics · Physics 2024-05-15 Sougata Biswas , Arunava Chakrabarti

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

The major breakthroughs in the understanding of topological materials over the past decade were all triggered by the discovery of the Z$_2$ topological insulator (TI). In three dimensions (3D), the TI is classified as either "strong" or…

Topological insulators are materials with a bulk excitation gap generated by the spin orbit interaction, and which are different from conventional insulators. This distinction is characterized by Z_2 topological invariants, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liang Fu , C. L. Kane

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…

Mathematical Physics · Physics 2022-11-30 Jacob Shapiro , Michael I. Weinstein

The Euler class characterizes the topology of two real bands isolated from other bands in two-dimensions. Despite various intriguing topological properties predicted up to now, the candidate real materials hosting electronic Euler bands are…

Mesoscale and Nanoscale Physics · Physics 2024-04-26 Seung Hun Lee , Yuting Qian , Bohm-Jung Yang

Quantum spin-Hall insulators (QSHIs), i.e., two-dimensional topological insulators (TIs) with a symmetry-protected band inversion, have attracted considerable scientific interest in recent years. In this work, we have computed the…

We investigate interacting Su-Schrieffer-Heeger (SSH) chains with two- and three-site unit cells using density matrix renormalization group (DMRG) simulations. By selecting appropriate filling fractions and sweeping across interaction…

Strongly Correlated Electrons · Physics 2025-12-18 Yuxiao Hang , Stephan Haas

A non-Hermitian topological insulator with real spectrum is interesting in the theory of non-Hermitian extension of topological systems. We find an experimentally realizable example of a two dimensional non-Hermitian topological insulator…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 C. Yuce , H. Ramezani

Su-Schrieffer-Heeger (SSH) lattices have helped to understand key concepts of topological insulators. In this paper, we study the transmission properties of $pn$ junctions of bearded SSH lattices forming a bipartite structure. From a…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Yonatan Betancur-Ocampo , Guillermo Monsivais

It is well known that the topology of Su-Schrieffer-Heeger(SSH) model, which belongs to AIII symmetry class, is protected by chiral symmetry. In this article, instead of chiral symmetry, we constrain the bulk Hamiltonian by a magnetic point…

Materials Science · Physics 2020-11-30 Chi-Ho Cheung , Jinyu Zou

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…

Classical Physics · Physics 2018-11-26 Xin Li , Yan Meng , Xiaoxiao Wu , Sheng Yan , Yingzhou Huang , Shuxia Wang , Weijia Wen

We demonstrate a platform for synthetic dimensions based on coupled Rydberg levels in ultracold atoms, and we implement the single-particle Su-Schrieffer-Heeger (SSH) Hamiltonian. Rydberg levels are interpreted as synthetic lattice sites,…

Atomic Physics · Physics 2022-03-09 S. K. Kanungo , J. D. Whalen , Y. Lu , M. Yuan , S. Dasgupta , F. B. Dunning , K. R. A. Hazzard , T. C. Killian

We demonstrate the possibility of engineering the topological band structure of a plasmonic Su-Schrieffer-Heeger (SSH) chain through the interaction with its electromagnetic environment. We find that the long-range interaction of the…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Florian Herz , Alireza Naeimi , Svend-Age Biehs

We construct a two-leg ladder dimer model by using two orbitals instead of one in Su-Schrieffer-Heeger (SSH) dimer chain and find out a chiral symmetry in it. In this model, the otherwise-hidden additional chiral symmetry allows us to…

Strongly Correlated Electrons · Physics 2015-06-23 Jin-Yu Zou , Bang-Gui Liu

The canonical Su-Schrieffer-Heeger (SSH) model is one of the basic geometries that have spurred significant interest in topologically nontrivial bandgap modes with robust properties. Here, we show that the inclusion of suitable third-order…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Yakir Hadad , Alexander B. Khanikaev , Andrea Alu