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We investigate the topology of the different phases of the extended Su-Schrieffer-Heeger (eSSH) model, which includes hopping processes between translationally inequivalent atoms beyond nearest neighbors. Exact analytical expressions for…

Other Condensed Matter · Physics 2026-04-23 P. A. Grizzi , A. A. Aligia , P. Roura-Bas

The Su-Schrieffer-Heeger (SSH) model describes a finite one-dimensional dimer lattice with first-neighbour hoppings populated by non-interacting electrons. In this work we study a generalization of the SSH model including longer-range…

Mesoscale and Nanoscale Physics · Physics 2018-10-05 Beatriz Pérez-González , Miguel Bello , Álvaro Gómez-León , Gloria Platero

We study the topological properties of rhombohedral-stacked N-layer Su-Schrieffer-Heeger networks with interlayer coupling. We find that these systems exhibit $2N$-fold degenerate zero-energy edge states with winding number $W=N$, providing…

Disordered Systems and Neural Networks · Physics 2025-11-12 Feng Lu , Ao Zhou , Shujie Cheng , Gao Xianlong

As an important class of systems with unique topological effects beyond the periodic lattices, quasiperiodic topological structures have attracted much attention in recent years. Due to the quasiperiodic modulation, the topological states…

Applied Physics · Physics 2020-08-25 Juan Song , Fengqing Yang , Zhiwei Guo , Youqi Chen , Haitao Jiang , Yunhui Li , Hong Chen

We investigate topological phenomena in a spatially modulated Dirac-$\delta$ lattice, where the scattering potential varies periodically in space. Changing the potential modulation frequency leads to Hofstadter's butterfly-like energy…

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…

Disordered Systems and Neural Networks · Physics 2025-01-07 Subhajyoti Bid , Arunava Chakrabarti

We investigate topological edge states in one-dimensional off-diagonal mosaic lattices, where nearest-neighbor hopping amplitudes are modulated periodically with period $\kappa>1$. Analytically, we demonstrate that discrete edge states…

Optics · Physics 2025-10-17 Ba Phi Nguyen , Kihong Kim

Modeling the spin-triplet superconductor Sr2RuO4 through a three-orbital tight-binding model we investigate topological properties and edge states assuming chiral p-wave pairing. In concordance with experiments the three Fermi surfaces…

Superconductivity · Physics 2013-10-16 Yoshiki Imai , Katsunori Wakabayashi , Manfred Sigrist

Periodically driven noninteracting systems may exhibit anomalous chiral edge modes, despite hosting bands with trivial topology. We find that these drives have surprising many-body analogs, corresponding to class A, which exhibit anomalous…

Strongly Correlated Electrons · Physics 2017-03-28 Fenner Harper , Rahul Roy

We study the topological properties of a one-dimensional quasiperiodic-potential-modulated mosaic trimer lattice. To begin with, we first investigate the topological properties of the model in the clean limit free of quasiperiodic disorder…

Disordered Systems and Neural Networks · Physics 2026-01-21 Xiatao Wang , Li Wang , Shu Chen

One of the hallmarks of bulk topology is the existence of robust boundary localized states. For instance, a conventional $d$ dimensional topological system hosts $d{-}1$ dimensional surface modes, which are protected by non-spatial…

Mesoscale and Nanoscale Physics · Physics 2021-05-11 Ruchira V Bhat , Soumya Bera

Su-Schrieffer-Heeger (SSH) model is one of the simplest models to show topological end/edge states and the existence of Majorana fermions. Here we consider a SSH like model both in one and two dimensions where a nearest neighbor hopping…

Mesoscale and Nanoscale Physics · Physics 2023-11-07 Satyaki Kar

In this study topological properties of static and dynamic Su-Schrieffer-Heeger models with staggered further neighbor hopping terms of different extents are investigated. Topological characterization of the static chiral models is…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Rittwik Chatterjee , Asim Kumar Ghosh

The essential properties of the half-filled interacting Kane-Mele model on a hexagon lattice is studied using the slave rotor approach. It is shown clearly that a long-range charge-order state with spontaneously broken chiral symmetry…

Strongly Correlated Electrons · Physics 2025-06-11 Minghuan Zeng , Junjie Zeng , Ling Qin , Shiping Feng , Donghui Xu , Rui Wang

Building on advances in topological photonics and computational optimization, we inversedesign a periodic dielectric structure surrounding a chain of interacting qubits, emulating an extended, dimerized Su-Schrieffer-Heeger (SSH) excitonic…

We investigate the control of the parity-time ($\mathcal{PT}$)-symmetry breaking threshold in a periodically driven one-dimensional dimerized lattice with spatially symmetric gain and loss defects. We elucidate the contrasting roles played…

Quantum Physics · Physics 2025-08-28 Xinguang Li , Hongzheng Wu , Yangchun Zhao , Jinpeng Xiao , Yu Guo , Lei Li , Yajiang Chen , Xiaobing Luo

We investigate the formation of multipole topological solitons at the edges of two and three coupled parallel Su-Schrieffer-Heeger (SSH) waveguide arrays. We show that independent variations of waveguide spacing in the unit cells (dimers)…

Optics · Physics 2024-06-28 Khalil Sabour , Yaroslav V. Kartashov

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

Symmetry plays an important role in the topological band theory. In contrary, study on the topological properties of the asymmetric systems is rather limited, especially in higher-dimensional systems. In this work, we explore a new theory…

Mesoscale and Nanoscale Physics · Physics 2025-09-26 Yunlin Li , Yufu Liu , Xuezhi Wang , Haoran Zhang , Xunya Jiang

Unlike the edge state of a topological insulator where its energy level lives in the bulk energy gap, the edge state of a topological semimetal hides in the bulk spectrum and is difficult to be identified by the energy. We investigate the…

Mesoscale and Nanoscale Physics · Physics 2020-01-17 K. L. Zhang , Z. Song
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