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

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(Institut Català de Nanociència i Nanotecnologia)
Reily Rocha, Alexandre

(Universidade Estadual Paulista (Brasil))
Rappoport, Tatiana G. (Universidade Federal Do Rio de Janeiro)

Data:	2018
Resum:	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.
Ajuts:	Ministerio de Economía y Competitividad SEV-2013-0295 Ministerio de Economía y Competitividad MAT2012- 33911 European Commission 604391
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Effective Hamiltonian ; First-principles calculation ; Hydrogen impurity ; Low-energy limit ; Quantum Hall state ; Quantum transport ; Spin-orbit couplings ; Systematic analysis
Publicat a:	Physical review B, Vol. 97, Issue 8 (February 2018) , art. 85413, ISSN 2469-9969

Postprint
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Registre creat el 2019-09-02, darrera modificació el 2024-01-19