Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
arXiv:1204.2212 · doi:10.1103/PhysRevB.86.075118
Abstract
In this work, we explore the rich variety of topological states that arise in two-dimensional systems, by considering the competing effects of spin-orbit couplings and a perpendicular magnetic field on a honeycomb lattice. Unlike earlier approaches, we investigate minimal models in order to clarify the effects of the intrinsic and Rashba spin-orbit couplings, and also of the Zeeman splitting, on the quantum Hall states generated by the magnetic field. In this sense, our work provides an interesting path connecting quantum Hall and quantum spin Hall physics. First, we consider the properties of each term individually and we analyze their similarities and differences. Secondly, we investigate the subtle competitions that arise when these effects are combined. We finally explore the various possible experimental realizations of our model.
19 pages, 15 figures
References in corpus (28)
- The electronic properties of graphene
- Many-Body Physics with Ultracold Gases
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- The Quantum Spin Hall Effect: Theory and Experiment
- Landau Level Splitting in Graphene in High Magnetic Fields
- Quantum Anomalous Hall Effect in HgMnTe Quantum Wells
- Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Spin Filtered Edge States and Quantum Hall Effect in Graphene
- Robustness of the Spin-Chern number
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
- Single valley Dirac fermions in zero-gap HgTe quantum wells
- Two-dimensional Mott-Hubbard electrons in an artificial honeycomb lattice
- Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
- Optical Flux Lattices for Ultracold Atomic Gases
- Wilson Fermions and Axion Electrodynamics in Optical Lattices
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
- Ultracold Fermions in a Graphene-Type Optical Lattice
- Topological Insulators and Metals in Atomic Optical Lattices
- Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
- Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
- Delocalized-localized transition in a semiconductor two-dimensional honeycomb lattice
- Reentrant topological phases in Mn-doped HgTe quantum wells
- Energy Spectrum of Bloch Electrons Under Checkerboard Field Modulations
Cited by in corpus (18)
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Dirac Cones, Topological Edge States, and Nontrivial Flat Bands in Two-Dimensional Semiconductors with a Honeycomb Nanogeometry
- Spin-helical transport in normal and superconducting topological insulators
- Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals
- Topological states in multi-orbital HgTe honeycomb lattices
- Flat bands and nontrivial topological properties in an extended Lieb lattice
- Topological edge and corner states in Bi fractals on InSb
- High-Chern-number bands and tunable Dirac cones in -graphyne
- Topological insulating phases from two-dimensional nodal loop semimetals
- Robustness of chiral edge modes in fractal-like-lattices below two dimensions: A case study
- Phase diagrams and edge-state transitions in graphene with spin-orbit coupling and magnetic and pseudomagnetic fields
- Dynamical competition between Quantum Hall and Quantum Spin Hall effects
- Topological Floquet states on a Möbius band irradiated by circularly polarised light
- Many-Body Phases of a Planar Bose-Einstein Condensate with Cavity-Induced Spin-Orbit Coupling
- Rigidity of topological invariants to symmetry breakings
- Eigenspectrum, Chern Numbers and Phase Diagrams of Ultracold Color-orbit Coupled SU(3) Fermions in Optical Lattices
- Hofstadter Butterfly and Broken-Symmetry Quantum Hall States in α-Type Organic Dirac Fermion Systems
- Topological Color-Hall Insulators: SU(3) Fermions in Optical Lattices