Magnetic superlattice and finite-energy Dirac points in graphene

Dell’Anna, Luca; Martino, Alessandro De

doi:10.1103/physrevb.83.155449

Cited by 59 publications

(41 citation statements)

References 33 publications

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“…1 That is why the electronic band structure of graphene under a periodic potential (graphene superlattice) was extensively studied from the early days of graphene physics. For single layer graphene superlattices (SLGSLs), the electronic band structure has been in detail examined in a number of works for periodic potentials of different natures (electric 2-5 or magnetic [6][7][8][9][10] ) and different shapes (Kronig-Penney, 2,5,7,10 cosine, 3 or square 4 ). Interesting findings have been reported such as a strongly anisotropic renormalization of the carrier group velocity and an emergence of extra Dirac points (DPs) in the electronic band structure of electric SLGSLs (Refs.…”

Section: Introductionmentioning

confidence: 99%

Electronic band structure of magnetic bilayer graphene superlattices

Pham

Nguyen

Nguyen³

2014

Journal of Applied Physics

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Articles you may be interested inElectronic structure changes during the surface-assisted formation of a graphene nanoribbon J. Chem. Phys. 140, 024701 (2014); 10.1063/1.4858855Tight-binding calculations of ZnSe/Si wurtzite superlattices: Electronic structure and optical properties Electronic structure and optical properties of ( ZnSe ) n ∕ ( Si 2 ) m (111) superlattices Electronic band structure of the bilayer graphene superlattices with d-function magnetic barriers and zero average magnetic flux is studied within the four-band continuum model, using the transfer matrix method. The periodic magnetic potential effects on the zero-energy touching point between the lowest conduction and the highest valence minibands of pristine bilayer graphene are exactly analyzed. Magnetic potential is shown also to generate the finite-energy touching points between higher minibands at the edges of Brillouin zone. The positions of these points and the related dispersions are determined in the case of symmetric potentials. V C 2014 AIP Publishing LLC.

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Section: Introductionmentioning

confidence: 99%

Electronic band structure of magnetic bilayer graphene superlattices

Pham

Nguyen

Nguyen³

2014

Journal of Applied Physics

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“…V, we turn to a mesoscopic waveguide geometry, where a suitable inhomogeneous magnetic field (or exchange field produced by lithographically deposited ferromagnetic films) defines the waveguide. [24][25][26][27][28][29][30][31][32][33] We show that the SOI parameters ∆ and λ give rise to interesting spin texture of the resulting propagating chiral states in such a waveguide. Finally, we conclude in Sec.…”

Section: Introductionmentioning

confidence: 99%

Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction

2011

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Citation: De Martino, A., Hütten, A. and Egger, R. (2011). Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction. Physical Review B (PRB), 84(15), doi: 10.1103/PhysRevB.84.155420 This is the unspecified version of the paper.This version of the publication may differ from the final published version. The electronic properties of a graphene monolayer in a magnetic and a strain-induced pseudomagnetic field are studied in the presence of spin-orbit interactions (SOI) that are artificially enhanced, e.g., by suitable adatom deposition. For the homogeneous case, we provide analytical results for the Landau level eigenstates for arbitrary intrinsic and Rashba SOI, including also the Zeeman field. The edge states in a semi-infinite geometry are studied in the absence of the Rashba term. For a critical value of the magnetic field, we find a quantum phase transition separating two phases with spin-filtered helical edge states at the Dirac point. These phases have opposite spin current direction. We also discuss strained magnetic waveguides with inhomogeneous field profiles that allow for chiral snake orbits. Such waveguides are practically immune to disorder-induced backscattering, and the SOI provides non-trivial spin texture to these modes. Permanent

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“…In Sec. 5, we turn to a waveguide geometry, defined by a suitable inhomogeneous magnetic field [25,26,27,28,29,30,31,32,33,34]. We show that the SOIs give rise to inter-esting spin textures of the chiral states propagating in the waveguides.…”

Section: Introductionmentioning

confidence: 99%

Landau Levels and Edge States in Graphene with Strong Spin-Orbit Coupling

Martino

Hütten

Egger

2013

NATO Science for Peace and Security Series B: Physics and Biophysics

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Abstract We investigate the electronic properties of graphene in a magnetic and a strain-induced pseudo-magnetic field in the presence of strong spin-orbit interactions (SOI). For a homogeneous field we provide analytical results for the Landau level eigenstates for arbitrary intrinsic and Rashba SOI, including also the effect of a Zeeman field. We then study the edge states in a semi-infinite geometry in the absence of the Rashba term. We find that, for a critical value of the magnetic field, a quantum phase transition occurs, which separates two phases both with spin-filtered helical edge states but with opposite direction of the spin current. Finally,we discuss magnetic waveguides with inhomogeneous field profiles that allow for chiral snake orbits. Such waveguides are practically immune to disorder-induced backscattering, and the SOI provides non-trivial spin texture to these modes. Permanent

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Magnetic superlattice and finite-energy Dirac points in graphene

Cited by 59 publications

References 33 publications

Electronic band structure of magnetic bilayer graphene superlattices

Electronic band structure of magnetic bilayer graphene superlattices

Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction

Landau Levels and Edge States in Graphene with Strong Spin-Orbit Coupling

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