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Journal of Physics: Conference Series 1274, 012001 (2019)

ISSN: 1742-6596

Interplay between the spin-orbit coupling and lattice modulation on the Lieb lattice

Ta Van Binh, Nguyen Duong Bo, Nguyen Hong Son, and Tran Minh Tien

The interplay between the spin-orbit coupling and a lattice modulation in the Lieb lattice is studied. The electron structure of the tight-binding model on the Lieb lattice features both the at and the Dirac linearly dispersing bands. Within the Lieb lattice the spinorbit coupling can induce a topological insulating state, while the lattice modulation breaks the topology. As a result of the interplay, a topological competition between the spin-orbit coupling and the lattice modulation occurs. The topology of the system is detected by the edge modes in open boundaries.

DOI: 10.1088/1742-6596/1274/1/012001