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Related papers: Topological flat bands in a kagom\'e lattice multi…

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Among condensed matter systems, Mott insulators exhibit diverse properties that emerge from electronic correlations. In itinerant metals, correlations are usually weak, but can also be enhanced via geometrical confinement of electrons, that…

Flat bands, characterized by zero group velocity and strong energy localization, enable interaction-enhanced phenomena across both quantum and classical systems. Existing photonic flat-band implementations were limited to evanescent-wave…

Optics · Physics 2025-09-17 Han-Rong Xia , Ziyao Wang , Yunrui Wang , Zhen Gao , Meng Xiao

The kagome lattice based on 3d transition metals is a versatile platform for novel topological phases hosting symmetry-protected electronic excitations and exotic magnetic ground states. However, the paradigmatic states of the idealized…

Kagome materials are at the frontier of condensed matter physics. An ideal kagome lattice features only one geometrically frustrated flat band spanning the entire momentum space and a single Dirac cone at the Brillouin-zone corners.…

In the last years, kagome materials received massive attention by virtue of being candidate hosts for a large variety of quantum phases: spin liquids, unconventional superconductivity, and topological phases of matter, to name the more…

Strongly Correlated Electrons · Physics 2025-07-10 Simone Ciceri , Matteo Massaro , Lars Fritz

Materials with kagome lattice have attracted significant research attention due to their nontrivial features in energy bands. In this work, we theoretically investigate the evolution of electronic band structures of kagome lattice in…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Luting Xu , Fan Yang

A large number of recent works point to the emergence of intriguing analogs of fractional quantum Hall states in lattice models due to effective interactions in nearly flat bands with Chern number C=1. Here, we provide an intuitive and…

Strongly Correlated Electrons · Physics 2013-01-01 Maximilian Trescher , Emil J. Bergholtz

In condensed matter physics, the Kagome lattice and its inherent flat bands have attracted considerable attention for their potential to host a variety of exotic physical phenomena. Despite extensive efforts to fabricate thin films of…

Electronic flat bands have localized Wannier-like orbitals as zero modes. In the Lieb or the kagome models, the localized orbitals satisfy a topological condition that entails two non-contractible loop eigenstates along $x/y$-axis in real…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Rui-Heng Liu , Jiangping Hu , Chen Fang

Kagome lattices facilitate various quantum phases, yet in bulk materials, their kagome flat-bands often interact with bulk bands, suppressing kagome electronic characteristics for hosting these phases. Here, we use density-functional-theory…

Materials Science · Physics 2024-08-29 Jiaqi Dai , Zhongqin Zhang , Zemin Pan , Cong Wang , Chendong Zhang , Zhihai Cheng , Wei Ji

We study the topological properties of a spin-orbit coupled Hofstadter model on the Kagome lattice. The model is time-reversal invariant and realizes a $\mathbb{Z}_2$ topological insulator as a result of artificial gauge fields. We develop…

Strongly Correlated Electrons · Physics 2021-05-04 Irakli Titvinidze , Julian Legendre , Maarten Grothus , Bernhard Irsigler , Karyn Le Hur , Walter Hofstetter

We have studied how a generic bilayer kagome lattice behave upon layer rotation. We employed a Tight Binding model with one orbital per site and found (i) for low rotational angles, and at low energies, the same flat bands structure like in…

Mesoscale and Nanoscale Physics · Physics 2019-10-28 F. Crasto de Lima , R. H. Miwa , E. Suárez Morell

The possibility of realizing topological insulators by spontaneous formation of electronic superstructure is theoretically investigated in a minimal two-orbital model including both the spin-orbit coupling and electron correlations on a…

Strongly Correlated Electrons · Physics 2016-06-21 Yusuke Sugita , Yukitoshi Motome

We study the dispersion relation of a metamaterial composed of metallic disks and bars arranged to have kagome symmetry and find that a plasmonic flat band is formed by the topological nature of the kagome lattice. To confirm the flat-band…

Optics · Physics 2012-05-21 Yosuke Nakata , Takanori Okada , Toshihiro Nakanishi , Masao Kitano

We introduce a non-Abelian kagome lattice model that has both time-reversal and inversion symmetries and study the flat band physics and topological phases of this model. Due to the coexistence of both time-reversal and inversion…

Strongly Correlated Electrons · Physics 2021-01-01 Zhenxiang Gao , Zhihao Lan

Dispersionless bands, such as Landau levels, serve as a good starting point for obtaining interesting correlated states when interactions are added. With this motivation in mind, we study a variety of dispersionless ("flat") band structures…

Strongly Correlated Electrons · Physics 2013-05-29 Dmitry Green , Luiz Santos , Claudio Chamon

Emergent phases often appear when the electronic kinetic energy is comparable to the Coulomb interactions. One approach to seek material systems as hosts of such emergent phases is to realize localization of electronic wavefunctions due to…

We study a system of microcavity pillars arranged into a kagome lattice. We show that polarization-dependent tunnel coupling of microcavity pillars leads to the emergence of the effective spin-orbit interaction consisting of the Dresselhaus…

Mesoscale and Nanoscale Physics · Physics 2016-09-29 D. R. Gulevich , D. Yudin , I. V. Iorsh , I. A. Shelykh

The notion of an electronic flat band refers to a collectively degenerate set of quantum mechanical eigenstates in periodic solids. The vanishing kinetic energy of flat bands relative to the electron-electron interaction is expected to…

We investigate topological band structures of a kagome system coupled to a circularly polarized cavity mode, using a model based on a muffin-tin potential and quantum light-matter interaction. We show that Chern insulating phases emerge in…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Hikaru Goto , Ryo Okugawa , Takami Tohyama