Topological phases in gated bilayer graphene: Effects of Rashba spin-orbit coupling and exchange field

Abstract

We present a systematic study on the influence of Rashba spin-orbit coupling, interlayer potential difference and exchange field on the topological properties of bilayer graphene. In the presence of only Rashba spin-orbit coupling and interlayer potential difference, the band gap opening due to broken out-of-plane inversion symmetry offers new possibilities of realizing tunable topological phase transitions by varying an external gate voltage. We find a two-dimensional $Z_2$ topological insulator phase and a quantum valley Hall phase in $AB$-stacked bilayer graphene and obtain their effective low-energy Hamiltonians near the Dirac points. For $AA$ stacking, we do not find any topological insulator phase in the presence of large Rashba spin-orbit coupling. When the exchange field is also turned on, the bilayer system exhibits a rich variety of topological phases including a quantum anomalous Hall phase, and we obtain the phase diagram as a function of the Rashba spin-orbit coupling, interlayer potential difference, and exchange field.

arXiv comment15 pages, 17figures, and 1 table

References in corpus (42)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Moire bands in twisted double-layer graphene
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit gap of graphene: First-principles calculations
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Band-structure topologies of graphene: spin-orbit coupling effects from first principles
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
• Rashba effect in the graphene/Ni(111) system
• Half-Heusler Compounds as a New Class of Three-Dimensional Topological Insulators
• Magnetic Insulator-Induced Proximity Effects in Graphene: Spin Filtering and Exchange Splitting Gaps
• Electrically tunable quantum anomalous Hall effect in 5d transition-metal adatoms on graphene
• Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
• Quantum Anomalous Hall Effect in Single-layer and Bilayer Graphene
• Magnetic and Electronic Properties of Metal-Atom Adsorbed Graphene
• Quantum spin Hall effect in three dimensional materials: Lattice computation of Z${}_2$ topological invariants and its application to Bi and Sb
• Moire Butterflies
• Giant topological insulator gap in graphene with 5d adatoms
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Two-Dimensional Topological Insulator State and Topological Phase Transition in Bilayer Graphene
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Integration of the Ferromagnetic Insulator EuO onto Graphene
• Microscopic theory of quantum anomalous Hall effect in graphene
• Quantum anomalous Hall effect with tunable Chern number in magnetic topological insulator film
• Topologically Protected Zero Modes in Twisted Bilayer Graphene
• Topological insulators beyond the Brillouin zone via Chern parity
• Rashba and intrinsic spin-orbit interactions in biased bilayer graphene
• Helical States in Curved Bilayer Graphene
• High Chern number quantum anomalous Hall phases in graphene ribbons with Haldane orbital coupling
• Quantized Anomalous Hall Insulator in a Nanopatterned Two-Dimensional Electron Gas
• Unbalanced edge modes and topological phase transition in gated trilayer graphene
• Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene

Cited by in corpus (31)

• Topological Phases in Two-Dimensional Materials: A Brief Review
• Electronic properties of graphene-based bilayer systems
• Topological Kirchhoff Law and Bulk-Edge Correspondence for Valley-Chern and Spin-Valley-Chern Numbers
• Perfect Valley Filter in Topological Domain Wall
• Absence of a transport signature of spin-orbit coupling in graphene with indium adatoms
• Mass inversion in graphene by proximity to dichalcogenide monolayer
• Topological crystalline insulator phase in graphene multilayers
• Antiferromagnetic spin valve from heterostructure of two-dimensional hexagonal crystals
• Ferromagnetism and quantum anomalous Hall effect in one-side-saturated buckled honeycomb lattices
• Majorana Fermions in Periodically Driven Semiconductor-Superconductor Heterostructure
• Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
• From Klein to anti-Klein tunneling in graphene tuning the Rashba spin-orbit interaction or the bilayer coupling
• Interaction-driven Quantum Anomalous Hall Effect in Halogenated Hematite Nanosheets
• Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator
• Spin Hall effect in AA-stacked bilayer graphene
• Topological Corner States in Graphene by Bulk and Edge Engineering
• A new phenomenon in graphene: The pseudospinorial Zitterbewegung
• Topological phase transition from trigonal warping in van der Waals multilayers
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Proximity-induced topological transition and strain-induced charge transfer in graphene/MoS2 bilayer heterostructures
• Interaction Driven Topological Phase Transition in Monolayer CrCl${}_2$(pyrazine)${}_2$
• Study of edge states and conductivity in spin-orbit coupled bilayer graphene
• Theory of interaction-induced renormalization of Drude weight and plasmon frequency in chiral multilayer graphene
• Rashba spin splitting based on trilayer graphene systems
• A Quantized Interband Topological Index in Two-Dimensional Systems
• Zigzag nanoribbon of gated bilayer hexagonal crystals with spontaneous edge magnetism
• Finite-Size Effects in the Dynamic Conductivity and Faraday Effect of Quantum Anomalous Hall Insulators
• Competing topological phases in few-layer graphene
• Band Structure and Topological Properties of Graphene in a Superlattice Spin Exchange Field
• Valley-Polarized Quantum Anomalous Hall Phase in Bilayer Graphene with Layer-Dependent Proximity Effects
• Layered Opposite Rashba Spin-Orbit Coupling in Bilayer Graphene: Loss of Spin Chirality, Symmetry Breaking and Topological Transition