2011
DOI: 10.1103/physrevb.84.165453
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High Chern number quantum anomalous Hall phases in single-layer graphene with Haldane orbital coupling

Abstract: We investigate possible phase transitions among the different quantum anomalous Hall (QAH) phases in single-layer graphene 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,… Show more

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Cited by 40 publications
(39 citation statements)
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References 68 publications
(79 reference statements)
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“…Because of these edge states, the Cu 2 S/MnSe heterostructure has great potential for the fabrication of a dissipationless, 100% spin-polarized, and highspeed spintronic devices and is superior to the Chern insulators with no spin polarization or partially spin-polarized edge states. 19,21,22 It is also important to note that the E F in this system lies in the nontrivial band gap, enabling improvements in the experimental observations.…”
Section: Resultsmentioning
confidence: 97%
“…Because of these edge states, the Cu 2 S/MnSe heterostructure has great potential for the fabrication of a dissipationless, 100% spin-polarized, and highspeed spintronic devices and is superior to the Chern insulators with no spin polarization or partially spin-polarized edge states. 19,21,22 It is also important to note that the E F in this system lies in the nontrivial band gap, enabling improvements in the experimental observations.…”
Section: Resultsmentioning
confidence: 97%
“…In previous studies of the QAHE in the context of graphene, [20][21][22][23][24] an extended Kane-Mele model 4 was employed with an additional Rashba term. The effective Rashba spinorbit interaction originates from the combination of intrinsic SOC and potential gradient perpendicular to the honeycomb lattice plane which breaks the inversion symmetry, and can be created by, e.g., applying a finite electric field perpendicular to the honeycomb plane 25 or imposing a finite curvature of the honeycomb sheet.…”
Section: A P Z Orbitalsmentioning
confidence: 99%
“…Sublattice staggering as found in silicene 17 is too small to induce significant variation of the electronic structure, thus the simplified four-band model considering only the π bands is good enough to account for the topological phase transitions in graphene-related systems. [20][21][22][23] However, for Bi(111) bilayer and its derivatives, all three p orbitals reside in the same energy scale, the hybridization between them is strongly enhanced due to buckling, and the strength of SOC is orders of magnitude larger as compared to that of carbon or silicon atoms. Therefore, rich physics with competing orbital and spin degrees of freedom is expected in the latter case.…”
Section: B S Orbitalsmentioning
confidence: 99%
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“…Interestingly, the two edge states are on the same edge with the spin-up state moving right and the spin-down state moving left, i.e., they form the helical quantum spin Hall-like edge states. Since the time-reversal symmetry is broken here, the ZNR can be considered as the pseudo-quantum spin Hall insulator25. Finally, we notice that as the width of the ZNRs is increased from n  = 10 to n  = 17, the calculated energy bands remain more or less unchanged.…”
Section: Resultsmentioning
confidence: 85%