4.6 Article

Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry

期刊

PHYSICAL REVIEW B
卷 103, 期 19, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.195105

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资金

  1. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [277974659]
  2. DFG via the high performance computing center Goethe-HLR
  3. ANR BOCA

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The study explores the topological properties of a spin-orbit coupled tight-binding model with flux on the kagome lattice, which includes a Z(2) topological insulator, inequivalent sites, flat band, and topological dispersive energy bands. It demonstrates the stability of the topological phase against spin-flip processes and different types of on-site potentials, as well as the possibility of different on-site energies within a unit cell.
We study the topological properties of a spin-orbit coupled tight-binding model with flux on the kagome lattice. The model is time-reversal invariant and realizes a Z(2) topological insulator as a result of artificial gauge fields. We develop topological arguments to describe this system showing three inequivalent sites in a unit cell and a flat band in its energy spectrum in addition to the topological dispersive energy bands. We show the stability of the topological phase towards spin-flip processes and different types of on-site potentials. In particular, we also address the situation where on-site energies may differ inside a unit cell. Moreover, a staggered potential on the lattice may realize topological phases for the half-filled situation. Another interesting result is the occurrence of a topological phase for large on-site energies. To describe topological properties of the system we use a numerical approach based on the twisted boundary conditions and we develop a mathematical approach, related to smooth fields.

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