Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
arXiv:2101.12219 · doi:10.1103/PhysRevB.103.195105
Abstract
We study the topological properties of a spin-orbit coupled Hofstadter model on the Kagome lattice. The model is time-reversal invariant and realizes a 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.
arXiv comment26 pages, 16 figures
References in corpus (81)
- Topological Insulators
- Topological insulators and superconductors
- Many-Body Physics with Ultracold Gases
- Quantum Spin Hall Effect in Graphene
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Anyons in an exactly solved model and beyond
- Topological Insulators with Inversion Symmetry
- Experimental realisation of the topological Haldane model
- New Perspectives for Rashba Spin-Orbit Coupling
- A spin-orbit coupled Bose-Einstein condensate
- Artificial gauge potentials for neutral atoms
- Colloquium: Topological Band Theory
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
- High temperature fractional quantum Hall states
- Light-induced gauge fields for ultracold atoms
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Spin-orbit coupling in quantum gases
- Topological Bands for Ultracold Atoms
- Spin-Orbit Coupled Degenerate Fermi Gases
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Direct Observation of Second Order Atom Tunnelling
- Topological insulator on the kagome lattice
- Discovery of a quantum limit Chern magnet TbMn6Sn6
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Experimental realization of a two-dimensional synthetic spin-orbit coupling in ultracold Fermi gases
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- A lattice of double wells for manipulating pairs of cold atoms
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Edge states and topological phases in one-dimensional optical superlattices
- Amorphous topological insulators constructed from random point sets
- Topological quantum matter with cold atoms
- Gauge fields for ultracold atoms in optical superlattices
- Berry phase, hyperorbits, and the Hofstadter spectrum
- Intrinsic Quantum Anomalous Hall Effect in the Kagome Lattice Cs2LiMn3F12
- Wilson loop approach to fragile topology of split elementary band representations and topological crystalline insulators with time reversal symmetry
- Anomalous Hall effect of ferromagnetic Fe3Sn2 single crystal with geometrically frustrated kagome lattice
- Isolated Flat Bands and Spin-1 Conical Bands in Two-Dimensional Lattices
- Tunable Berry Curvature Through Magnetic Phase Competition in a Topological Kagome Magnet
- Counting atoms using interaction blockade in an optical superlattice
- Topological states in two-dimensional optical lattices
- Topological states on the breathing kagome lattice
- Topological aspects of quantum spin Hall effect in graphene: Z topological order and spin Chern number
- Fourier synthesis of optical potentials for atomic quantum gases
- Experimental realization of plaquette resonating valence bond states with ultracold atoms in optical superlattices
- Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
- Hofstadter Topology: Non-crystalline Topological Materials at High Flux
- Higher-order Topological Mott Insulators
- Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
- Simulating and Detecting the Quantum Spin Hall Effect in Kagomé Optical Lattice
- Artificial gauge fields with ultracold atoms
- Measuring Z2 topological invariants in optical lattices using interferometry
- Quantization of spin Hall conductivity in two-dimensional topological insulators versus symmetry and spin-orbit interaction
- Dynamically generated flat-band phases in optical kagome lattices
- Spin Hall effect in the kagome lattice with Rashba spin-orbit interaction
- 2D spin-orbit coupling for ultracold atoms in optical lattices
- A Natural Topological Insulator
- Interaction-Induced Topological and Magnetic Phases in the Hofstadter-Hubbard Model
- Floquet Hofstadter Butterfly on the Kagome and Triangular Lattices
- Interacting Stochastic Topology and Mott Transition from Light Response
- Magnetic Topological Kagome Systems
- Topological invariant for two-dimensional open systems
- Quantum spin Hall effect and spin-charge separation in a kagome lattice
- Interaction-driven topological phase transitions in fermionic SU() systems
- Quantum Entangled Fractional Topology and Curvatures
- Driven Hofstadter Butterflies and Related Topological Invariants
- Thermal Hall Conductivity in Superconducting Phase on Kagome Lattice
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