Dynamical manipulation of Dirac points in the Kitaev honeycomb model

Abstract

We study the effect of a half wave rectified sinusoidal electromagnetic (EM) wave on the Kitaev honeycomb model with an additional magneto-electric coupling term {arising due to induced polarization of the bonds. Within the framework of Floquet analysis, we show that merging of a pair of Dirac points in the gapless region of the Kitaev model leading to a semi-Dirac spectrum is indeed possible} by externally varying the amplitude and the phase of the EM field.

10 pages, 7 figures: Text modified and new figures added

References in corpus (18)

• The electronic properties of graphene
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Topological characterization of periodically-driven quantum systems
• Measuring entanglement entropy through the interference of quantum many-body twins
• Merging of Dirac points in a two-dimensional crystal
• Irradiated graphene as a tunable Floquet topological insulator
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• A new magnetic field dependence of Landau levels on a graphene like structure
• Modulated Floquet Topological Insulators
• Radiation effects on the electronic structure of bilayer graphene
• Floquet Edge States with Ultracold Atoms
• Unpaired Floquet Majorana fermions without magnetic fields
• Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field
• Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
• Microwave-controlled coupling of Majorana bound states
• Topological phases in adiabatic and nonadiabatic driven systems
• Entanglement and Majorana edge states in the Kitaev model
• Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation

Cited by in corpus (7)

• Hunting Majorana Fermions in Kitaev Magnets
• Topological edge states on time-periodically strained armchair graphene nanoribbons
• Topology and localization of a periodically driven Kitaev model
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• Cross-dimensional universality classes in static and periodically driven Kitaev models
• Dynamics of edge current in a linearly quenched Haldane model
• Floquet topological phase transitions in a kicked Haldane-Chern insulator