High Chern number quantum anomalous Hall phases in graphene ribbons with Haldane orbital coupling

Abstract

We investigate possible phase transitions among the different quantum anomalous Hall (QAH) phases in a zigzag graphene ribbon under the influence of the exchange field. The effective tight-binding Hamiltonian for graphene is made up of the hopping term, the Kane-Mele and Rashba spin-orbit couplings as well as the Haldane orbital term. We find that the variation of the exchange field results in bulk gap-closing phenomena and phase transitions occur in the graphene system. If the Haldane orbital coupling is absent, the phase transition between the chiral (anti-chiral) edge state $\nu =+2$ ($\nu =-2$) and the pseudo-quantum spin Hall state ($\nu =0$) takes place. Surprisingly, when the Haldane orbital coupling is taken into account, an intermediate QSH phase with two additional edge modes appears in between phases $\nu =+2$ and $\nu =-2$. This intermediate phase is therefore either the hyper-chiral edge state of high Chern number $\nu =+4$ or anti-hyper-chiral edge state of $\nu =-4$ when the direction of exchange field is reversed. We present the band structures, edge state wave functions and current distributions of the different QAH phases in the system. We also report the critical exchange field values for the QAH phase transitions.

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References in corpus (23)

• The electronic properties of graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Spin-orbit gap of graphene: First-principles calculations
• Topological Defects and Gapless Modes in Insulators and Superconductors
• The Quantum Spin Hall Effect: Theory and Experiment
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Spin transport in proximity induced ferromagnetic graphene
• Quantum Anomalous Hall Effect in Single-layer and Bilayer Graphene
• Universal phase diagrams for the quantum spin Hall systems
• Topological aspects of quantum spin Hall effect in graphene: Z${}_2$ topological order and spin Chern number
• Stacking Sequence Dependence of Graphene Layers on SiC(000-1) - Experimental and Theoretical Investigation
• Anomalous integer quantum Hall effect in AA-stacked bilayer graphene
• Quantum Hall effect in bilayer and multilayer graphenes with finite gate voltage
• Quantum spin Hall phases

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