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The energy dispersion of fermions or bosons vanishes in momentum space if destructive quantum interference occurs in a frustrated Kagome lattice with only nearest-neighbour (NN) hopping. A discrete flat band (FB) without any dispersion is…

Materials Science · Physics 2017-08-16 Zhi Li , Jincheng Zhuang , Lan Chen , Li Wang , Haifeng Feng , Xun Xu , Xiaolin Wang , Chao Zhang , Kehui Wu , Shi Xue Dou , Zhenpeng Hu , Yi Du

Spin and charge are two interrelated properties of electrons. However, most of previous works on topological matter study the electronic and magnonic excitations separately. In this paper, by combining density functional theory calculations…

Strongly Correlated Electrons · Physics 2021-11-17 Zhuoran He , Aiyun Luo , Biao Lian , Gang Xu

Three important driving forces for creating qualitatively new phases in quantum materials are the topology of the materials' electronic band structures, frustration in the electrons' motion or magnetic interactions, and strong correlations…

In two dimensional honeycomb ferromagnets, bosonic magnon quasiparticles (spin waves) may either behave as massless Dirac fermions or form topologically protected edge states. The key ingredient defining their nature is the next-nearest…

Strongly Correlated Electrons · Physics 2018-11-21 Lebing Chen , Jae-Ho Chung , Bin Gao , Tong Chen , Matthew B. Stone , Alexander I. Kolesnikov , Qingzhen Huang , Pengcheng Dai

We develop a low-energy continuum model to describe the moir\'{e} physics of heterostructures, which is a generalization of the celebrated Bistritzer-MacDonald (BM) method [R. Bistritzer and A. H. MacDonald, Proc. Natl. Acad. Sci. U.S.A.…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 David T. S. Perkins , Joseph J. Betouras

Topological phases and modes, including pseudospin-Hall-selective edge transport and corner states, provide robust control of wave propagation and modal confinement in classical wave platforms. Under a tight-binding framework, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Shenglong Guo , Qinhui Jiang , Yuma Kawaguchi , Bo Li , Mengyao Li

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…

Moir\'{e} superlattices in twisted bilayer graphene and transition-metal dichalcogenides have emerged as a powerful tool for engineering novel band structures and quantum phases of two-dimensional quantum materials. Here we investigate…

Quantum Gases · Physics 2021-03-17 Xi-Wang Luo , Chuanwei Zhang

Topological materials hosting kagome lattices have drawn considerable attention due to the interplay between topology, magnetism, and electronic correlations. The (Fe$_{1-x}$Co$_x$)Sn system not only hosts a kagome lattice but has a tunable…

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

Magnetic topological phases of quantum matter are an emerging frontier in physics and material science. Along these lines, several kagome magnets have appeared as the most promising platforms. Here, we explore magnetic correlations in the…

Kagome metals with van Hove singularities near the Fermi level can host intriguing quantum phenomena such as chiral loop currents, electronic nematicity, and unconventional superconductivity. However, to our best knowledge, unconventional…

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

The topological properties of massive and massless fermionic quasiparticles have been intensively investigated over the past decade in topological materials without magnetism. Recently, the bosonic analogs of such quasiparticles arising…

Strongly Correlated Electrons · Physics 2021-12-30 Bin Gao , Tong Chen , Chong Wang , Lebing Chen , Ruidan Zhong , Douglas Abernathy , Di Xiao , Pengcheng Dai

We present the results of first-principle calculations using the Vienna Ab-initio Simulation Package (VASP) for a new class of organometallics labeled TM3C6O6 (TM =Sc, Ti, V, Cr, Fe, Co, Ni and Cu) in the form of planar, two-dimensional,…

Materials Science · Physics 2023-02-22 Adam Hassan Denawi , Xavier Bouju , Mathieu Abel , Johannes Richter , Roland Hayn

Topological orbital moments can arise in non-coplanar spin structures even in the absence of spin-orbit coupling and a net topological orbital magnetization occurs for the triple-Q state and for isolated skyrmions. For atomic-scale skyrmion…

Topological quantum materials with kagome lattices have attracted intense interest due to their unconventional electronic structures, which exhibit nontrivial topology, anomalous magnetism, and electronic correlations. Among these, Co3Sn2S2…

Strongly Correlated Electrons · Physics 2025-08-18 Guowei Liu , Wei Song , Titus Neupert , M. Zahid Hasan , Hanbin Deng , Jia-Xin Yin

Flat bands and dispersive Dirac bands are known to coexist in the electronic bands in a two-dimensional kagome lattice. Including the relativistic spin-orbit coupling, such systems often exhibit nontrivial band topology, allowing for…

Strongly Correlated Electrons · Physics 2022-08-09 Satoshi Okamoto , Narayan Mohanta , Elbio Dagotto , D. N. Sheng

Based on the first-principles evolutionary materials design, we report a stable boron Kagome lattice composed of triangles in triangles on a two-dimensional sheet. The Kagome lattice can be synthesized on a silver substrate, with selecting…

Materials Science · Physics 2019-08-01 Sunghyun Kim , W. H. Han , In-Ho Lee , K. J. Chang

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