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

Martino, Alessandro De; Hütten, Artur; Egger, Reinhold

doi:10.1103/physrevb.84.155420

Cited by 36 publications

(46 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It exhibits many unusual physical properties, e.g., a rich magnetic quantization [1][2][3][4][5][6][7][8], half-integer Hall effect [9][10][11][12][13][14][15][16], high Young's modulus [17][18][19][20][21], high Fermi velocity (10 6 m/s), and others. Graphene could play an important role in technological applications such as electric circuits [22,23], field-effect transistors [24,25], light-emitting diodes [26][27][28], solar cells [29][30][31][32], and durable touch screens [33,34].…”

Section: Introductionmentioning

confidence: 99%

Configuration-enriched magneto-electronic spectra of AAB-stacked trilayer graphene

Lin

et al. 2015

Carbon

View full text Add to dashboard Cite

We developed the generalized tight-binding model to study the magneto-electronic properties of AAB-stacked trilayer graphene. Three groups of Landau levels (LLs) are characterized by the dominating subenvelope function on distinct sublattices. Each LL group could be further divided into two sub-groups in which the wavefunctions are, respectively, localized at 2/6 (5/6) and 4/6 (1/6) of the total length of the enlarged unit cell. The unoccupied conduction and the occupied valence LLs in each subgroup behave similarly. For the first group, there exist certain important differences between the two sub-groups, including the LL energy spacings, quantum numbers, spatial distributions of the LL wavefunctions, and the field-dependent energy spectra.The LL crossings and anticrossings occur frequently in each sub-group during the variation of field strengths, which thus leads to the very complex energy spectra and the seriously distorted wavefunctions. Also, the density of states (DOS) exhibits rich symmetric peak structures. The predicted results could be directly examined by experimental measurements. The magnetic quantization is quite different among the AAB-, AAA-, ABA-, and ABC-stacked configurations.

show abstract

Section: Introductionmentioning

confidence: 99%

Configuration-enriched magneto-electronic spectra of AAB-stacked trilayer graphene

Lin

et al. 2015

Carbon

View full text Add to dashboard Cite

show abstract

“…The present contribution reports results obtained by the authors in [19]. The structure is as follows.…”

Section: Introductionmentioning

confidence: 94%

“…For details about the solutions and the solutions for a negative magnetic field (i.e., ε = −1), see Ref. [19]. Next, we analyze the spatially uniform case.…”

Section: General Solutionmentioning

confidence: 99%

See 1 more Smart Citation

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

Self Cite

View full text Add to dashboard Cite

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

show abstract

“…Recent investigations of the interplay between QH and QSH phases in some specific examples of 2DDFGs [20][21][22][23] have led to surprising results. In these works, it was shown that the QSH phase can survive the presence of a perpendicular magnetic field and that the Z 2 topological invariant [4] remains non-trivial for energies below the spin-orbit induced gap, despite the breaking of timereversal symmetry [59].…”

Section: Graphenementioning

confidence: 99%

Competing topological phases in few-layer graphene

et al. 2013

View full text Add to dashboard Cite

We investigate the effect of spin-orbit coupling on the band structure of graphene-based twodimensional Dirac fermion gases in the quantum Hall regime. Taking monolayer graphene as our first candidate, we show that a quantum phase transition between two distinct topological statesthe quantum Hall and the quantum spin Hall phases -can be driven by simply tuning the Fermi level with a gate voltage. This transition is characterized by the existence of a chiral spin-polarized edge state propagating along the interface separating the two topological phases. We then apply our analysis to the more difficult case of bilayer graphene. Unlike in monolayer graphene, spinorbit coupling by itself has indeed been predicted to be unsuccessful in driving bilayer graphene into a topological phase, due to the existence of an even number of pairs of spin-polarized edge states. While we show that this remains the case in the quantum Hall regime, we point out that by additionally breaking the layer inversion symmetry, a non-trivial quantum spin Hall phase can reemerge in bilayer graphene at low energy. We consider two different symmetry-breaking mechanisms: inducing spin-orbit coupling only in the upper layer, and applying a perpendicular electric field. In both cases, the presence at low energy of an odd number of pairs of edge states can be driven by an exchange field. The related situation in trilayer graphene is also discussed.

show abstract

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

Cited by 36 publications

References 66 publications

Configuration-enriched magneto-electronic spectra of AAB-stacked trilayer graphene

Configuration-enriched magneto-electronic spectra of AAB-stacked trilayer graphene

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

Competing topological phases in few-layer graphene

Contact Info

Product

Resources

About