Interplay between the spin-orbit coupling and lattice modulation on the Lieb lattice
Abstract
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 flat 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.
- Publication:
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Journal of Physics Conference Series
- Pub Date:
- July 2019
- DOI:
- 10.1088/1742-6596/1274/1/012001
- Bibcode:
- 2019JPhCS1274a2001V