Weak Localization in Bilayer Graphene

Gorbachev, Roman; Tikhonenko, F. V.; Mayorov, Alexander S.; Horsell, D. W.; Savchenko, A. K.

doi:10.1103/physrevlett.98.176805

Cited by 224 publications

(254 citation statements)

References 29 publications

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“…However, the effect of warping and AB-asymmetric disorder suppresses this difference, and the inter-valley scattering on sharp defects and edges leads to the usual WL effect both in monolayer and bilayer, with the WL magnetoresistance saturated at a relatively weak magnetic field determined by the inter-valley scattering rate Kechedzhi et al 2007). This seems to be consistent with the recent observations of weak localization effects in both monolayers and bilayers (Gorbachev et al 2007) …”

Section: Discussionsupporting

confidence: 80%

Electronic properties and the quantum Hall effect in bilayer graphene

Fal’ko

2007

Phil. Trans. R. Soc. A.

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In this paper, I review the quantum Hall effect (QHE) and far-infra red (FIR) absorption properties of bilayer graphene in a strong magnetic field. This includes a derivation of the effective low-energy Hamiltonian for this system and the consequences of this Hamiltonian for the sequencing of the Landau levels in the material: the form of this effective Hamiltonian gives rise to the presence of a level with doubled degeneracy at zero energy. The effect of a potential difference between the layer of a bilayer is also investigated. It is found that there is a density-dependent gap near the K points in the band structure. The consequences of this gap on the QHE are then described. Also, the magneto-absorption spectrum is investigated and an experiment proposed to distinguish between model groundstates of the bilayer QHE system based on the different absorption characteristics of right-and left-handed polarization of FIR light. Finally, the effects of trigonal warping are taken into account in the absorption picture.

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Section: Discussionsupporting

confidence: 80%

Electronic properties and the quantum Hall effect in bilayer graphene

Fal’ko

2007

Phil. Trans. R. Soc. A.

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“…The form of this correction is described well by equation (1.1). All parameters determined from fits to this equation are temperature independent below Tw3 K, and here we focus only on these T-independent values (the T dependence of the phase-breaking rate t 4 at higher temperatures is discussed elsewhere by Gorbachev et al (2007) and Tikhonenko et al (2007)). …”

Section: Experiments and Resultsmentioning

confidence: 99%

“…The inset data show the quantum Hall plateaux measured for each sample and the expected difference of half of a resistance quantum (h=4e 2 for graphene) between the systems is clearly seen. The correction to the conductivity due to WL is measured by the procedure given by Gorbachev et al (2007) where, to negate the fluctuations, ds is averaged over a gate voltage window, DV g Z 2V: dsZ hsðB; V g ÞKsð0; V g Þi DV g . Figure 2 shows the effect of magnetic field on the conductivity of samples B and M both in the high electron concentration region (nw1.5!10 12 cm K2 ) and the electroneutrality region.…”

Section: Experiments and Resultsmentioning

confidence: 99%

Weak localization in monolayer and bilayer graphene

Horsell

Tikhonenko

Gorbachev

et al. 2007

Phil. Trans. R. Soc. A.

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We demonstrate quantitative experimental evidence for a weak localization correction to the conductivity in monolayer and bilayer graphene systems. We show how inter-and intra-valley elastic scattering control the correction in small magnetic fields in a way which is unique to graphene. A clear difference in the forms of the correction is observed in the two systems, which shows the importance of the interplay between the elastic scattering mechanisms and how they can be distinguished. Our observation of the correction at zero-net carrier concentration in both systems is clear evidence of the inhomogeneity engendered into the graphene layers by disorder.

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“…Since the isolation of graphene flakes, 1 the chiral nature of quasiparticles in monolayer and bilayer graphene has been observed in a range of phenomena including the integer quantum Hall effect, [2][3][4] Klein tunneling, [5][6][7][8] weak localization, [9][10][11][12][13][14][15][16] and photoemission. [17][18][19][20] Generally speaking, the effective mass models [21][22][23][24][25][26][27][28][29][30] of monolayer and bilayer graphene have been very successful in describing these phenomena.…”

Section: Introductionmentioning

confidence: 99%

Landau level spectra and the quantum Hall effect of multilayer graphene

2011

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The Landau level spectra and the quantum Hall effect of ABA-stacked multilayer graphenes are studied in the effective-mass approximation. The low-energy effective-mass Hamiltonian may be partially diagonalized into an approximate block-diagonal form, with each diagonal block contributing parabolic bands except for an additional block describing Dirac-like bands with a linear dispersion in a multilayer with an odd number of layers. We fully include the band parameters and, taking into account the symmetry of the lattice, we analyze their effect on the block-diagonal Hamiltonian. Next-nearest-layer couplings are shown to be particularly important in determining the low-energy spectrum and the phase diagram of the quantum Hall conductivity by causing energy shifts, level anticrossings, and valley splitting of the low-lying Landau levels.

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Weak Localization in Bilayer Graphene

Cited by 224 publications

References 29 publications

Electronic properties and the quantum Hall effect in bilayer graphene

Electronic properties and the quantum Hall effect in bilayer graphene

Weak localization in monolayer and bilayer graphene

Landau level spectra and the quantum Hall effect of multilayer graphene

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