Statistics of Kagome Lattice

Syôzi, Itiro

doi:10.1143/ptp/6.3.306

Cited by 320 publications

(130 citation statements)

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“…into a gapped superconductor, a charge-density wave, or magnetic ordering. Many theories predict that flat bands occur in the dice lattice [3], the Kagome lattice [4,5,6], the Lieb lattice [7] and the Tasaki lattice [8]. Some of the flat bands have recently been experimentally observed, e.g.…”

Section: Introductionmentioning

confidence: 99%

Origin of the Flat Band in Heavily Cs-Doped Graphene

et al. 2019

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A flat energy dispersion of electrons at the Fermi level of a material leads to instabilities in the electronic system and can drive phase transitions. Here we introduce a method to induce a flat band in two-dimensional (2D) materials. We show that the flat band can be achieved by sandwiching the 2D material by two cesium (Cs) layers. We apply this method to monolayer graphene and investigate the flat band by a combination of angle-resolved photoemission spectroscopy experiment and the calculation. Our work highlights that charge transfer, zone folding of graphene bands and the covalent bonding between C and Cs atoms are at the origin of the flat energy 1 arXiv:1903.09038v2 [cond-mat.mes-hall] 30 May 2019 band formation. The presented approach is an alternative route for obtaining flat band materials to twisting bilayer graphene which yields thermodynamically stable flat band materials in large areas.

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Section: Introductionmentioning

confidence: 99%

Origin of the Flat Band in Heavily Cs-Doped Graphene

et al. 2019

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“…Even in the simplest cases of the Ising antiferromagnets on triangular [2] and kagome [3] lattices, exact solutions revealed the absence of magnetic order and the macroscopic degeneracy in the ground states, which are viewed as the hallmark of the frustration.…”

Section: Introductionmentioning

confidence: 99%

Scaling ansatz for the ac magnetic response in two-dimensional spin ice

et al. 2014

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A theory for frequency-dependent magnetic susceptibility χ (ω) is developed for thermally activated magnetic monopoles in a two-dimensional (2D) spin ice. By modeling the system in the vicinity of the ground-state manifold as a 2D Coulomb gas with an entropic interaction, and then as a 2D sine-Gordon model, we have shown that the susceptibility has a scaling form χ (ω)/χ (0) = F(ω/ω 1 ), where the characteristic frequency ω 1 is related to a charge correlation length between diffusively moving monopoles, and to the principal-breather excitation. The dynamical scaling is universal and applicable not only for kagome ice, but also for superfluid and superconducting films and generic 2D ices possibly including the artificial spin ice.

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“…Compounds that intrinsically possess the desired band structure also merit pursuit. Recent studies show that a coexistence of Dirac and flat bands in fact occurs in the so-called Kagome lattices, which consist of equilateral triangles and hexagons [57,58]. In particular, the double Kagome lattice show promise to possess the featured heavy-and-Dirac crossing [59].…”

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confidence: 99%

Leveraging electron-phonon interaction to enhance the thermoelectric power factor in graphene-like semimetals

et al. 2019

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Electron-phonon interaction (EPI) is presumably detrimental for thermoelectric performance in semiconductors because it limits carrier mobility. Here we show that enhanced EPI with strong energy dependence offers an intrinsic pathway to significant increase in the Seebeck coefficient and the thermoelectric power factor, particularly in the context of two-dimensional (2D) graphene-like Dirac bands. The increase is realized by enabling electron energy filtering through preferential scattering of electron/hole carriers. We prove this concept by implementing state-of-the-art firstprinciples computational methods with explicit treatment of EPI for a 2D gapless MoS2 allotrope, which has both massless Dirac bands and a heavy-fermion state that acts as the filter. We determine that the optimal location of the heavy state and hence the onset of the filtering process is at the Dirac point. Our study opens a new avenue for attaining ultrahigh power factors via engineering the EPI in graphene-like semimetals or identifying new compounds that intrinsically possess the featured electronic structure.

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Statistics of Kagome Lattice

Cited by 320 publications

References 0 publications

Origin of the Flat Band in Heavily Cs-Doped Graphene

Origin of the Flat Band in Heavily Cs-Doped Graphene

Scaling ansatz for the ac magnetic response in two-dimensional spin ice

Leveraging electron-phonon interaction to enhance the thermoelectric power factor in graphene-like semimetals

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