Topological proximity effects in a Haldane-graphene bilayer system
arXiv:1901.09748 · doi:10.1103/PhysRevB.100.081107
Abstract
We reveal a proximity effect between a topological band (Chern) insulator described by a Haldane model and spin-polarized Dirac particles of a graphene layer. Coupling weakly the two systems through a tunneling term in the bulk, the topological Chern insulator induces a gap and an opposite Chern number on the Dirac particles at half-filling resulting in a sign flip of the Berry curvature at one Dirac point. We study different aspects of the bulk-edge correspondence and present protocols to observe the evolution of the Berry curvature as well as two counter-propagating (protected) edge modes with different velocities. In the strong-coupling limit, the energy spectrum shows flat bands. Therefore we build a perturbation theory and address further the bulk-edge correspondence. We also show the occurrence of a topological insulating phase with Chern number one when only the lowest band is filled. We generalize the effect to Haldane bilayer systems with asymmetric Semenoff masses. We propose an alternative definition of the topological invariant on the Bloch sphere.
arXiv commentPaper, 8 Figures + Supplementary Material
References in corpus (46)
- The electronic properties of graphene
- Topological Insulators
- Quantum Spin Hall Effect in Graphene
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulators with Inversion Symmetry
- Chiral tunneling and the Klein paradox in graphene
- Topological Photonics
- Topological Photonics
- Photonic Floquet Topological Insulators
- Room-Temperature Quantum Hall Effect in Graphene
- Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
- Experimental realisation of the topological Haldane model
- Quantum Spin Hall Effect
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
- Evidence of Klein tunneling in graphene p-n junctions
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Topological Insulators and Mott Physics from the Hubbard Interaction
- An Aharonov-Bohm interferometer for determining Bloch band topology
- Observation of topological transitions in interacting quantum circuits
- Bloch state tomography using Wilson lines
- Quantum phase transition to unconventional multi-orbital superfluidity in optical lattices
- Measuring a topological transition in an artificial spin 1/2 system
- Measuring quantized circular dichroism in ultracold topological matter
- Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
- Tomography of band insulators from quench dynamics
- Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
- Introduction to Dirac materials and topological insulators
- Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
- Observation of Helical Edge States and Fractional Quantum Hall Effect in a Graphene Electron-hole Bilayer
- Driven dissipative dynamics and topology of quantum impurity systems
- Chiral Bosonic Phases on the Haldane Honeycomb Lattice
- Bulk Topological Proximity Effect
- Topological invariant for two-dimensional open systems
- Topology of a dissipative spin: dynamical Chern number, bath induced non-adiabaticity and a quantum dynamo effect
- Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
- Signature of chirality in scanning-probe imaging of charge flow in graphene
- Double-gap superconducting proximity effect in nanotubes
- Andreev scattering in the asymmetric ladder with preformed bosonic pairs
- Bilayer Haldane model: From trivial band insulator to fractionalized quantum anomalous Hall insulator
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- Driven quantum many-body systems and out-of-equilibrium topology
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- Preparing Atomic Topological Quantum Matter by Adiabatic Nonunitary Dynamics
- Quantum Entangled Fractional Topology and Curvatures
- Colloquium: Synthetic quantum matter in non-standard geometries
- Global and Local Topological Quantized Responses from Geometry, Light and Time
- Bulk topological proximity effect in multilayer systems
- Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases
- Band engineered bilayer Haldane model: Evidence of multiple topological phase transitions
- Quantum Hall and Light Responses in a 2D Topological Semimetal
- Orbital Hall Conductivity in a Graphene/Haldane and Haldane/Haldane Bilayers
- The layered phase of anisotropic gauge theories: A model for topological insulators
- Gate and Carriers tunable Valley Imbalance in Topological Proximitized Rhombohedral Trilayer Graphene
- Symmetry-protected topological wire in a topological vacuum