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Motivated by the recent theoretical studies on a two-dimensional (2D) chiral Hamiltonian based on the Su-Schrieffer-Heeger chains, we experimentally and computationally demonstrate that topological flat frequency bands can occur at open…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Kai Qian , Linghua Zhu , Keun Hyuk Ahn , Camelia Prodan

A model for two-dimensional electronic, photonic, and mechanical metamaterial systems is presented, which has flat one-dimensional zero-mode energy bands and stable localized states of a topological origin confined within twin boundaries,…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Linghua Zhu , Emil Prodan , Keun Hyuk Ahn

We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is known to possess a non-trivial topological band structure. For this model, which is characterized by a single parameter, the hopping ratio $0 \leq r\leq…

Superconductivity · Physics 2023-03-29 Ying Wang , Gautam Rai , Stephan Haas , Anuradha Jagannathan

Intriguing issues in one-dimensional non-reciprocal topological systems include the breakdown of usual bulk-edge correspondence and the occurrence of half-integer topological invariants. In order to understand these unusual topological…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Hui Jiang , Rong Lü , Shu Chen

We prove that, a suitable correlation between the system parameters can trigger topological phase transition and flat bands in a multi strand Creutz ladder network, when a staggered second neighbor interaction is included along the x axis.…

Quantum Gases · Physics 2022-02-09 Amrita Mukherjee , Atanu Nandy , Shreekantha Sil , Arunava Chakrabarti

In this letter we summarise our study of Su-Schrieffer-Hegger(SSH) model with a one dimensional non-orientable manifold as bulk. For this purpose a SSH model with any bulk (SAB) is introduced. We observe the following: (1) The topology of…

Mesoscale and Nanoscale Physics · Physics 2023-03-02 Bharathiganesh Devanarayanan

We construct quasi one-dimensional topological and non-topological three-band lattices with tunable band gap and winding number of the flat band. Using mean field (MF) and exact density matrix renormalization group (DMRG) calculations, we…

Superconductivity · Physics 2022-10-11 Si Min Chan , B. Grémaud , G. G. Batrouni

The topological mechanics is a perfect tool that can bridge the gap between the quantum and Newtonian physics and mechanics of materials. It requires discrete models of the material with analogies with the topological characteristics of…

Applied Physics · Physics 2020-06-02 Mohamed Shaat

We derive a dielectric-dependent hybrid functional which accurately describes the electronic properties of heterogeneous interfaces and surfaces, as well as those of three- and two-dimensional bulk solids. The functional, which does not…

Materials Science · Physics 2019-07-17 Huihuo Zheng , Marco Govoni , Giulia Galli

Flat bands and nontrivial topological physics are two important topics of condensed matter physics. With a unique stacking configuration analogous to the Su-Schrieffer-Heeger (SSH) model, rhombohedral graphite (RG) is a potential candidate…

We propose and analyze a physical system that naturally admits two-dimensional topological nearly flat bands. Our approach utilizes an array of three-level dipoles (effective S = 1 spins) driven by inhomogeneous electromagnetic fields. The…

Strongly Correlated Electrons · Physics 2013-11-28 Norman Y. Yao , Chris R. Laumann , Alexey V. Gorshkov , Steven D. Bennett , Eugene Demler , Peter Zoller , Mikhail D. Lukin

The combination of magnetism and topological properties in one material platform is attracting significant attention due to the potential of realizing low power consumption and error-robust electronic devices. Common practice is to start…

There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

Superconductivity · Physics 2025-10-23 Hideo Aoki

It has recently been established that two-dimensional massless graphene-like systems and three-dimensional line-node topological semimetals comprise a special class of centrosymmetric materials where edge/surface states of topological…

Materials Science · Physics 2016-11-15 Ivan I. Naumov , Russell J. Hemley

Band topology has emerged as a novel tool for material design across various domains, including photonic and phononic systems, and metamaterials. A prominent model for band topology is the Su-Schrieffer-Heeger (SSH) chain, which reveals…

Other Condensed Matter · Physics 2024-08-20 Yeongtae Jang , Seokwoo Kim , Eunho Kim , Junsuk Rho

In this paper we study the formation of topological Tamm states at the interface between a semi-infinite one-dimensional photonic-crystal and a metal. We show that when the system is topologically non-trivial there is a single Tamm state in…

Mesoscale and Nanoscale Physics · Physics 2020-04-15 J. C. G. Henriques , T. G. Rappoport , Y. V. Bludov , M. I. Vasilevskiy , N. M. R. Peres

The criteria for strong correlations on surfaces of three-dimensional topological insulators are discussed. Usually, the Coulomb repulsion at such surfaces is too weak for driving a phase transition to a strongly correlated regime. I…

Strongly Correlated Electrons · Physics 2012-11-09 Manuel J. Schmidt

Bandgaps in layered materials are critical for enabling functionalities such as tunable photodetection, efficient energy conversion, and nonlinear optical responses, which are essential for next-generation photonic and quantum devices. Gap…

We present a version of the Hubbard model with a gapless nearly-flat lowest band which exhibits ferromagnetism in two or more dimensions. The model is defined on a lattice obtained by placing a site on each edge of the hypercubic lattice,…

Strongly Correlated Electrons · Physics 2018-01-17 Akinori Tanaka

Here we report the evolution of bulk band structure and surface states in rare earth mono-bismuthides with partially filled f shell. Utilizing synchrotron-based photoemission spectroscopy, we determined the three-dimensional bulk band…

Mesoscale and Nanoscale Physics · Physics 2019-02-12 Peng Li , Zhongzheng Wu , Fan Wu , Chao Cao , Chunyu Guo , Yi Wu , Yi Liu , Zhe Sun , Cheng-Maw Cheng , Deng-Sung Lin , Frank Steglich , Huiqiu Yuan , Tai-Chang Chiang , Yang Liu
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