Emergence of photo-induced multiple topological phases on square octagon lattice
arXiv:1901.02200 · doi:10.1088/1361-648X/ab1026
Abstract
In this study, a tight-binding model on square octagon lattice with nearest-neighbour and next-nearest-neighbour hoppings is considered. The system is topologically trivial although it exhibits quadratic band-touching points in its band-structure. It is shown that the system drives towards topologically non-trivial phases as soon as it is exposed to monochromatic circularly polarized light. Multiple topological phases are found to emerge with the variation of amplitude of light. An effective time-independent Hamiltonian of the system is obtained following the Floquet-Bloch formulation. Quasi-energy band-structures along with definite values of Chern numbers for respective bands are obtained. Characterization of topological phases are made in terms of band structure and Chern numbers. In addition, Hall conductance and topologically protected chiral edge states are obtained to explain the topological properties. Density of states is obtained in every case. The system undergoes a series of topological phase transitions among various topological phases upon variations of both amplitude of light and hopping strengths. It exhibits Chern insulating and Chern semimetallic phases depending on the values of lattice filling.
arXiv comment9 pages, 6 figures
References in corpus (30)
- Topological Insulators
- Topological Order and the Quantum Spin Hall Effect
- Photonic Floquet Topological Insulators
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Photovoltaic Hall effect in graphene
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Observation of Floquet-Bloch states on the surface of a topological insulator
- Topological characterization of periodically-driven quantum systems
- Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
- Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
- Floquet topological insulators
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Floquet-Bloch theory and topology in periodically driven lattices
- Orbital superfluidity in the -band of a bipartite optical square lattice
- Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
- Floquet chiral edge states in graphene
- Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
- Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
- A Realization of the Haldane-Kane-Mele Model in a System of Localized Spins
- Effective Theory of Floquet Topological Transitions
- Dynamical preparation of Floquet Chern insulators
- Topological phases and phase transitions on the square-octagon lattice
- Photoinduced Chern insulating states in semi-Dirac materials
- Nontrivial topological flat bands in a diamond-octagon lattice geometry
- Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
- Ising antiferromagnet on the Archimedean lattices
- Two-dimensional Chern semimetals on the Lieb lattice
- Photoinduced Topological Phase Transitions in Topological Magnon Insulators
- SU(3) Dirac electrons in the 1/5-depleted square-lattice Hubbard model at 1/4 filling
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- A semimetallic square-octagon (fes) two-dimensional polymer with high mobility
- Topological phases of monolayer and bilayer depleted Lieb lattices