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Topological quantum materials with kagome lattice have become the emerging frontier in the context of condensedmatter physics. Kagome lattice harbors strongmagnetic frustration and topological electronic states generatedby the unique…

Superconductivity · Physics 2025-07-04 Qi Wang , Hechang Lei , Yanpeng Qi , Claudia Felser

In a first-order topological phase with sublattice degrees of freedom, a change in the boundary sublattice termination has no effect on the existence of gapless boundary states in dimensions higher than one. However, such a change may…

Superconductivity · Physics 2022-08-26 Majid Kheirkhah , Di Zhu , Joseph Maciejko , Zhongbo Yan

A two-dimensional kagome lattice is theoretically investigated within a simple tight-binding model, which includes the nearest neighbor hopping term and the intrinsic spin-orbit interaction between the next nearest neighbors. By using the…

Mesoscale and Nanoscale Physics · Physics 2011-08-03 Zhigang Wang , Ping Zhang

We study reconstruction of the chiral edge states in a magnetic Chern insulator in the Kondo lattice model on a triangular lattice at 1/4 filling. In this state, the spin scalar chirality associated with a four-sublattice noncoplanar…

Strongly Correlated Electrons · Physics 2015-06-19 Ryo Ozawa , Masafumi Udagawa , Yutaka Akagi , Yukitoshi Motome

We compute analytic expressions for the edge states in a zigzag Kane-Mele nanoribbon (KMNR) by solving the eigenvalue equations in presence of intrinsic and Rashba spin-orbit couplings. Owing to the P-T symmetry of the Hamiltonian the edge…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Priyanka Sinha , Sudin Ganguly , Saurabh Basu

Pursuing topological phase and matter in a variety of systems is one central issue in current physical sciences and engineering. Motivated by the recent experimental observation of corner states in acoustic and photonic structures, we…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Z. -X. Li , Yunshan Cao , Peng Yan , X. R. Wang

We present a numerical study of magnetic ordering in spin ice on kagome, a two-dimensional lattice of corner-sharing triangles. The magnet has six ground states and the ordering occurs in two stages, as one might expect for a six-state…

Strongly Correlated Electrons · Physics 2012-11-21 Gia-Wei Chern , Oleg Tchernyshyov

Engineering non trivial topological phases in materials, specially skyrmion-like arrangements, has been of great interest in the last decade due to its potential technological applications. In this work, we study a model of electrons…

Strongly Correlated Electrons · Physics 2022-12-16 M. E. Villalba , F. A. Gómez Albarracín , D. C. Cabra , H. D. Rosales

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

Lieb and Kagome lattices exhibit two-dimensional topological insulator behavior with $\mathbb{Z}_2$ topological classification when considering spin-orbit coupling. In this study, we used a general tight-binding Hamiltonian with a…

Mesoscale and Nanoscale Physics · Physics 2025-06-17 W. P. Lima , T. F. O. Lara , J. P. G. Nascimento , J. Milton Pereira , D. R. da Costa

The kagome lattice -- a two-dimensional (2D) arrangement of corner-sharing triangles -- is at the forefront of the search for exotic states generated by magnetic frustration. Such states have been observed experimentally for Heisenberg and…

We consider the combined effects of large spin-orbit couplings and a perpendicular magnetic field in a 2D honeycomb fermionic lattice. This system provides an elegant setup to generate versatile spin textures propagating along the edge of a…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 N. Goldman , W. Beugeling , C. Morais Smith

In this work, we use the local spin Chern marker (LSCM) recently introduced by Ba\`{u} and Marrazzo [Phys. Rev. B 110, 054203 (2024)] to analyze the topology of the ground-state electronic wave functions in a finite honeycomb lattice flake…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Sebastião dos Anjos Sousa Júnior , Marcus V. de S. Ferraz , José P. de Lima , Tarik P. Cysne

The Kane-Mele model has been modified to achieve versatile topological phases. Previous work [Phys. Rev. Lett. 120, 156402 (2018)] introduced a staggered intrinsic spin-orbit coupling effect to generate pseudohelical edge states, with…

Mesoscale and Nanoscale Physics · Physics 2024-11-14 Xiaokang Dai , Pei-Hao Fu , Yee Sin Ang , Qinjun Chen

Kagome lattice hosts a plethora of quantum states arising from the interplay of topology, spin-orbit coupling, and electron correlations. Here, we report symmetry-breaking electronic orders tunable by an applied magnetic field in a model…

Materials Science · Physics 2023-11-13 Huimin Zhang , Basu Dev Oli , Qiang Zou , Xu Guo , Zhengfei Wang , Lian Li

Optimizing translationally invariant infinite-Projected Entangled Pair States (iPEPS), we investigate the spin-2 Affleck-Kennedy-Lieb-Tasaki (AKLT) and spin-1 Heisenberg models on the Kagome lattice as a function of magnetic field. We found…

Strongly Correlated Electrons · Physics 2015-03-05 Thibaut Picot , Didier Poilblanc

We investigate the dependence of band dispersion of the quantum spin Hall effect (QSHE) edge states in the Kane-Mele model on crystallographic orientation of the edges. Band structures of the one-dimensional honeycomb lattice ribbons show…

Mesoscale and Nanoscale Physics · Physics 2013-03-13 Gabriel Autès , Oleg V. Yazyev

Kagome materials exhibit unique electronic properties, such as the quantum anomalous Hall effect. The control of Chern numbers is critical for quantum device manipulation, but existing research has mainly focused on collinear magnetization…

Materials Science · Physics 2025-11-18 Wenzhe Zhou , Guibo Zheng , Yating Li , Aolin Li , Fangping Ouyang

We investigate the lattice dynamics in the spin-1/2 frustrated kagome compound herbertsmithite ZnCu$_3$(OH)$_6$Cl$_2$ by a combination of infrared spectroscopy measurements and ab initio density functional theory calculations, and provide…

Strongly Correlated Electrons · Physics 2020-04-29 Ying Li , A. Pustogow , M. Bories , P. Puphal , C. Krellner , M. Dressel , Roser Valenti

We study kagome lattices with on-site and extended spin-singlet s-wave superconducting pairing and show that the inclusion of Rashba spin-orbit (RSO) interaction allows time-reversal-invariant topological superconducting states which…

Superconductivity · Physics 2025-07-04 M. A. Mojarro , Sergio E. Ulloa