Bulk-edge correspondence of light manipulated electrons on Shastry-Sutherland lattice

doi:10.7523/j.issn.2095-6134.2019.05.002

Abstract

Abstract: Electrons on Shastry-Sutherland (SS) lattice have plentiful properties. We use Floquet theory to demonstrate that a high-frequency circularly polarized light exerted on such a system generates phases including Dirac fermion, semi-Dirac fermion, quadratic band touch, SO(3) fermion gapless phases, and a gapped phase. In the presence of the spin-orbit coupling, those four gapless phases are shown to be topologically equivalent because of the opening of a gap. Through calculating the edge states of a nanoribbon, we further verify that those four gapless phases become topological insulators after the opening of gap according to the bulk-edge correspondence. Besides, we also find the bulk-edge correspondence between the bulk anisotropic dispersion of semi-Dirac fermion and its nanoribbon truncated along two different directions.

Key words: Shastry-Sutherland lattice, Floquet method, topological insulator, bulk-edge correspondence

CLC Number:

JIN Yuesu, SU Gang. Bulk-edge correspondence of light manipulated electrons on Shastry-Sutherland lattice[J]. , 2019, 36(5): 581-589.

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