Topological properties of the bond-modulated honeycomb lattice

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.

arXiv comment8 pages, 4 figures: discussion improved, typos corrected, references updated. Matches version published in PRB

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• Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
• Antiferromagnetic spin valve from heterostructure of two-dimensional hexagonal crystals
• Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
• Topological Magnon Insulator with a Kekule Bond Modulation
• Effect of disorder on the dimer transition of the honeycomb-lattice compound Li${}_2$RuO${}_3$
• Dynamics and Control of Edge States in Laser-driven Graphene Nanoribbons
• Periodically driven interacting electrons in 1D: a many-body Floquet approach
• Valley selecting current partition at zero-line mode of quantum anomalous Hall topologies
• Correlated electrons in a Crystalline Topological insulator