Topological properties of the bond-modulated honeycomb lattice
F. Grandi, F. Manghi, O. Corradini, C.M. Bertoni
TL;DR
This paper investigates how lattice deformation, electron-electron interactions, and spin-orbit coupling influence the topological phases of a 2D honeycomb lattice, identifying conditions for trivial and Quantum Spin Hall insulators.
Contribution
It introduces a comprehensive analysis of topological phase transitions in a honeycomb lattice under various hopping modulations and interactions, combining topological invariants with interaction effects.
Findings
Identification of parameter regimes for trivial and Quantum Spin Hall phases
Analysis of the effects of Kekule distortion and dimerization on topology
Calculation of topological invariants for interacting and non-interacting systems
Abstract
We study the combined effects of lattice deformation, e-e interaction and spin-orbit coupling in a two-dimensional (2D) honeycomb lattice. We adopt different kinds of hopping modulation--generalized dimerization and a Kekule distortion--and calculate topological invariants for the non-interacting system and for the interacting system. We identify the parameter range (Hubbard U, hopping modulation, spin-orbit coupling) where the 2D system behaves as a trivial insulator or Quantum Spin Hall Insulator.
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