Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry - Archive ouverte HAL
Article Dans Une Revue Physical Review B Année : 2021

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

Irakli Titvinidze
  • Fonction : Auteur
Maarten Grothus
  • Fonction : Auteur
Bernhard Irsigler
  • Fonction : Auteur
Walter Hofstetter
  • Fonction : Auteur

Résumé

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 Z2 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.

Dates et versions

hal-03224701 , version 1 (11-05-2021)

Identifiants

Citer

Irakli Titvinidze, Julian Legendre, Maarten Grothus, Bernhard Irsigler, Karyn Le Hur, et al.. Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry. Physical Review B, 2021, 103 (19), pp.195105. ⟨10.1103/PhysRevB.103.195105⟩. ⟨hal-03224701⟩
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