Shubnikov-de Haas oscillations in the anomalous Hall conductivity of Chern insulators
Canonico, Luis M. (Universidade Federal Fluminense)
Garcia, José H. (Institut Català de Nanociència i Nanotecnologia)
Rappoport, Tatiana Gabriela (Universidade Federal do Rio de Janeiro)
Ferreira, Aires (York University. Department of Physics (Toronto, Canadà))
Muniz, R. B. (Universidade Federal Fluminense)

Data:	2018
Resum:	The Haldane model on a honeycomb lattice is a paradigmatic example of a system featuring quantized Hall conductivity in the absence of an external magnetic field, that is, a quantum anomalous Hall effect. Recent theoretical work predicted that the anomalous Hall conductivity of massive Dirac fermions can display Shubnikov-de Haas (SdH) oscillations, which could be observed in topological insulators and honeycomb layers with strong spin-orbit coupling. Here, we investigate the electronic transport properties of Chern insulators subject to high magnetic fields by means of accurate spectral expansions of lattice Green's functions. We find that the anomalous component of the Hall conductivity displays visible SdH oscillations at low temperature. The effect is shown to result from the modulation of the next-nearest-neighbor flux accumulation due to the Haldane term, which removes the electron-hole symmetry from the Landau spectrum. To support our numerical findings, we derive a long-wavelength description beyond the linear ("Dirac cone") approximation. Finally, we discuss the dependence of the energy spectra shift for reversed magnetic fields with the topological gap and the lattice bandwidth.
Ajuts:	European Commission 696656 Ministerio de Economía y Competitividad SEV-2013-0295
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Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Chern insulators ; Landau levels ; Magnetotransport ; Topological materials
Publicat a:	Physical review B, Vol. 98, Issue 8 (August 2018) , art. 85409, ISSN 2469-9969

DOI: 10.1103/PhysRevB.98.085409

Postprint 8 p, 1.1 MB

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