Quantum Hall effect in graphene with interface-induced spin-orbit coupling

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Cysne, Tarik P.
Garcia, Jose H.
Rocha, Alexandre R. [UNESP]
Rappoport, Tatiana G.
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Amer Physical Soc
We consider an effective model for graphene with interface-induced spin-orbit coupling and calculate the quantum Hall effect in the low-energy limit. We perform a systematic analysis of the contribution of the different terms of the effective Hamiltonian to the quantum Hall effect (QHE). By analyzing the spin splitting of the quantum Hall states as a function of magnetic field and gate voltage, we obtain different scaling laws that can be used to characterize the spin-orbit coupling in experiments. Furthermore, we employ a real-space quantum transport approach to calculate the quantum Hall conductivity and investigate the robustness of the QHE to disorder introduced by hydrogen impurities. For that purpose, we combine first-principles calculations and a genetic algorithm strategy to obtain a graphene-only Hamiltonian that models the impurity.
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Physical Review B. College Pk: Amer Physical Soc, v. 97, n. 8, 9 p., 2018.