Flat band of Kagome lattice in graphene plasmonic crystals

Abstract

We propose graphene plasmonic crystals (GPCs) with a Kagome lattice, and investigate the properties of the flat band (FB) in the plasmonic system. By modulating the arrangement of the chemical potentials, a FB is obtained. Furthermore, the authenticity of the FB is confirmed by comparing the band structures and the eigen field distributions obtained from using the tight-binding modeled Hamiltonian with numerical calculations. The proposed Kagome-type GPCs could be of great significance for the study of novel effects in strong interaction systems in the field of plasmonics.

Spin-valley polarized edge states in quasi-one-dimensional asymmetric kagome lattice

“…Kagome lattice is a two-dimensional network of corner-sharing triangles. Due to its special lattice geometric structure, an exotic band structure with flat band and Dirac cones has been theoretically demonstrated [1][2][3][4][5][6], as well as unconventional magnetism [7][8][9], Dirac metal [10] and quantum spin liquids [11,12]. Experimentally, a lot of compounds with kagome lattice have been synthesized and studied.…”

“…Besides, a number of well-known kagome magnets with exotic phenomenon have been reported to exhibit giant intrinsic anomalous Hall effect, such as ferromagnetic Fe 3 Sn 2 with bilayer Fe kagome lattice [21][22][23], ferromagnetic Weyl semimetal Co 3 Sn 2 S 2 [24,25], and noncollinear antiferromagnet Mn 3 Sn [26]. The topological properties, like quantum Hall effect and quantum spin Hall effect, magnetic order and flat band of the kagome lattice have also been studied theoretically in recent years based on tightbinding model [1,3,[27][28][29][30][31][32][33]. At 1/3 filling of kagome lattice, there are two nonequivalent Dirac points locating at the corners of the first Brillouin zone, and the system is a Dirac semi-metal.…”

Formation of honeycomb-Kagome hexagonal superlattice pattern with dark discharges in dielectric barrier discharge

“…It was observed in the process of exploring phase transitions by Kôdi Husimi and Itiro Syôzi in 1951. Since then, the Kagome lattice has become an important component of lattice structures and has been widely studied in many fields, such as magnetic materials, spin liquids, non-trivial topology, photonic crystals, semiconductors, superconductors, mechanisms, lasers and so on [7][8][9][10][11][12][13][14][15]. Recently, the Kagome lattice has been presented in and is attracting attention in dielectric barrier discharge (DBD) systems.…”

Experimental Observation of Flat Bands in One-Dimensional Chiral Magnonic Crystals

“…Moreover, dispersionless flat bands and a robust nonreciprocal character of the band diagram are observed for relatively large values of the i-DMI, above a threshold value that depends on the sample and periodicity of the array (see Figure 2g in ref ). In this respect, it is worth noting that the design and realization of metamaterials with tailored band structures, that permit quasiparticle control, are of great interest not only in magnonics but also in the research fields of photonics, electronics, plasmonics, and phononics. − The formation of flat bands , is a particularly interesting behavior, because when the group velocity is notably reduced, and the associated quasiparticle loses its kinetic energy, strongly interacting phases of matter can develop. − Flat bands have been recently reported in nonmagnetic systems − and in different forms of magnetic metamaterials without i-DMI, such as 1D MCs − and 2D MCs, consisting of both dot and antidot arrays. Flat bands have also been reported in ferromagnetic and antiferromagnetic crystal lattices. − Nonetheless, the appearance of flat modes and, more generally, a detailed analysis of the influence of the periodic i-DMI on the magnonic band structure of MCs have not been experimentally proved up to now.…”