Abstract
A kagome lattice is composed of corner-sharing triangles arranged on a honeycomb lattice such that each honeycomb bond hosts a kagome site while each kagome triangle encloses a honeycomb site. Such close relation implies that the two lattices share common features. We predict here that a kagome crystal, similar to the honeycomb lattice graphene, reacts to elastic strain in a unique way that the bulk electronic states in the vicinity of Dirac points are reorganized by the strain-induced pseudomagnetic field into flat Landau levels, while the degenerate edge states in the undeformed crystal become separated in the energy dimension. When the strain is tuned continuously, the resulting scanning pseudomagnetic field gives rise to quantum oscillations in both density of states (DOS) and electric conductivity.
Highlights
A kagome lattice is a hexagonal Bravais lattice with a three-site basis
By a proper projection of the sublattice basis, we have studied the Dirac physics of kagome crystals with our focus on its response to the applied elastic strain and the associated transport in the form of quantum oscillations
By projecting the sublattice basis Hamiltonian onto the space spanned by the eigenvectors associated with the Dirac points, we are able to drop off the degree of freedom related to the flat band and analytically g(B)/g(0)
Summary
A kagome lattice is a hexagonal Bravais lattice with a three-site basis. The unique lattice site arrangement renders the kagome lattice an ideal platform to study the geometric frustration [1] and the resulting exotic quantum states of matter known as quantum spin liquids [2,3,4,5,6,7,8,9,10]. For structural reasons, the wave function associated with a hexagonal ring in the kagome lattice becomes completely localized due to the destructive interference of the wave functions of the corner sites [11,12], resulting in highly degenerate dispersionless bands [13,14] stable against disorder [15]. In the absence of the spin-orbit coupling and next-nearestneighbor hoppings, the two dispersive bands linearly touch at the corners of the Brillouin zone. X∈edge which is plotted in Fig. 2(g) [Fig. 2(h)] for the left (right) edge
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