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The Haldane model on the honeycomb lattice is a paradigmatic example of a Hamiltonian featuring topologically distinct phases of matter. It describes a mechanism through which a quantum Hall effect can appear as an intrinsic property of a…

We demonstrate that a plethora of higher order topological phases emerge in magnet-superconductor hybrid (MSH) systems through the interplay of a stacked magnetic structure and an underlying triangular surface lattice; the latter being of…

Layered two-dimensional (2D) materials exhibit unique properties, expanding opportunities in material design. We investigate MX$_2$ transition metal dichalcogenides (TMDCs) (M = Mo, W; X = S, Se, Te) in homo- and heterobilayers with…

Materials Science · Physics 2025-03-13 Yu-Hsiu Lin , William P. Comaskey , Jose L. Mendoza-Cortes

Existence of nontrivial topological phases in a tight binding Haldane-like model on the depleted Lieb lattice is reported. This two-band model is formulated by considering the nearest-neighbor, next-nearest-neighbor and…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Arghya Sil , Asim Kumar Ghosh

We report studies of the phase diagrams of two two-dimensional systems composed of particles with repulsive pair potentials, each of which supports a high-density Kagome lattice phase. The commonalities in the phase diagrams of the systems…

Soft Condensed Matter · Physics 2020-01-29 Linsey Nowack , Stuart A. Rice

We present a systematic theoretical study on the structural and electronic properties of twisted trilayer transition metal dichalcogenide (TMD) WSe$_2$, where two independent moir\'e patterns form between adjacent layers. Using a continuum…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Naoto Nakatsuji , Takuto Kawakami , Hayato Tateishi , Koichiro Kato , Mikito Koshino

It has been recently shown that in the Heisenberg (anti)ferromagnet on the honeycomb lattice, the magnons (spin wave quasipacticles) realize a massless two-dimensional (2D) Dirac-like Hamiltonian. It was shown that the Dirac magnon…

Strongly Correlated Electrons · Physics 2016-07-21 S. A. Owerre

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 predict and examine various topological states on a two-dimensional (2D) triangular kagome lattice (TKL) using the tight-binding (TB) models and theory of topological quantum chemistry (TQC). Firstly, on the basis of TQC, we diagnose…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 Yun-Feng Chen , Dao-Xin Yao

Itinerant electrons in a two-dimensional Kagome lattice form a Dirac semi-metal, similar to graphene. When lattice and spin symmetries are broken by various periodic perturbations this semi-metal is shown to spawn interesting non-magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 H. -M. Guo , M. Franz

Kondo screening of local moments in normal metals typically leads to hybridized conduction and valence bands separated by a Kondo gap, resulting in an insulating state at half-band filling. We show a dramatic change of this scenario in a…

Strongly Correlated Electrons · Physics 2026-04-17 Hanting Zhong , Shuxiang Yang , Chao Cao , Xiao-Yong Feng , Jianhui Dai

We study theoretically two-dimensional single-crystalline sheets of semiconductors that form a honeycomb lattice with a period below 10 nm. These systems could combine the usual semiconductor properties with Dirac bands. Using atomistic…

Mesoscale and Nanoscale Physics · Physics 2015-02-19 E. Kalesaki , C. Delerue , C. Morais Smith , W. Beugeling , G. Allan , D. Vanmaekelbergh

A kagome lattice naturally features Dirac fermions, flat bands and van Hove singularities in its electronic structure. The Dirac fermions encode topology, flat bands favour correlated phenomena such as magnetism, and van Hove singularities…

Strongly Correlated Electrons · Physics 2022-12-23 Jia-Xin Yin , Biao Lian , M Zahid Hasan

A generalization of the graphene honeycomb model to the case where each site in the honeycomb lattice contains a $n-$fold degenerate set of eigenstates of the $C_3$ symmetry has been recently proposed to describe several systems, including…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 L. Madail , R. G. Dias , J. Fernández-Rossier

In an atomic vapor, a honeycomb lattice can be constructed by utilizing the three-beam interference method. In the method, the interference of the three beams splits the dressed energy level periodically, forming a periodic refractive index…

Optics · Physics 2015-10-21 Yiqi Zhang , Xing Liu , Milivoj R. Belić , Zhenkun Wu , Yanpeng Zhang

The kagome lattice, with its inherent frustration, hosts a plethora of exotic phenomena, including the emergence of $3\mathbf{q}$ charge density wave order. The high rotational symmetry, required to realize such an unconventional charge…

We investigate higher-order topological states in honeycomb lattice with Y-Kekul\'e distortions that preserve $C_{6v}$ crystalline symmetry. The gapped states in expanded and shrunken distortions are adiabatically connected to isolated…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Yong-Cheng Jiang , Toshikaze Kariyado , Xiao Hu

Twisted van der Waals heterostructures have recently been proposed as a condensed-matter platform for realizing controllable quantum models due to the low-energy moir\'e bands with specific charge distributions in moir\'e superlattices.…

We investigate topological phases in two-dimensional Bi/Sb honeycomb crystals considering planar, buckled, freestanding and deposited on a substrate structures. We use the multi-orbital tight-binding model and compare results with density…

Materials Science · Physics 2018-09-26 N. Nouri , M. Bieniek , M. Brzezinska , M. Modarresi , S. Zia Borujeni , Gh. Rashedi , A. Wojs , P. Potasz

The interplay of hopping parameters that can give rise to flat bands in consequence of quantum interference in electronic, photonic, and other interesting materials has become an extensively studied topic. Most of the recognized structures…

Materials Science · Physics 2019-08-02 Chi-Cheng Lee , Antoine Fleurence , Yukiko Yamada-Takamura , Taisuke Ozaki