Landau level spectrum of<i>ABA</i>- and<i>ABC</i>-stacked trilayer graphene

Yuan, Shengjun; Roldán, Rafael; Katsnelson, M. I.

doi:10.1103/physrevb.84.125455

Cited by 156 publications

(211 citation statements)

References 42 publications

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“…We show that the electron-electron interactions play a significant role in redistributing electron-hole puddles, thus strongly affecting the optical properties. We also investigate the large size limit of the GQDs as compared to optical properties of bulk graphene [44][45][46] and show that UOC can be observed in GQDs with a diameter of 18 nm.…”

Section: Introductionmentioning

confidence: 99%

Effects of long-range disorder and electronic interactions on the optical properties of graphene quantum dots

2017

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We theoretically investigate the effects of long-range disorder and electron-electron interactions on the optical properties of hexagonal armchair graphene quantum dots consisting of up to 10806 atoms. The numerical calculations are performed using a combination of tight-binding, mean-field Hubbard and configuration interaction methods. Imperfections in the graphene quantum dots are modelled as a long-range random potential landscape, giving rise to electron-hole puddles. We show that, when the electron-hole puddles are present, tight-binding method gives a poor description of the low-energy absorption spectra compared to meanfield and configuration interaction calculation results. As the size of the graphene quantum dot is increased, the universal optical conductivity limit can be observed in the absorption spectrum. When disorder is present, calculated absorption spectrum approaches the experimental results for isolated monolayer of graphene sheet.

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Section: Introductionmentioning

confidence: 99%

Effects of long-range disorder and electronic interactions on the optical properties of graphene quantum dots

2017

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“…In particular, for trilayer graphene the two possible stacking sequences ABA and ABC lead to different band structures 12 and a distinctly different Landaulevel spectrum. 4,[6][7][8]13 In a magnetic field, exchange effects and the Zeeman splitting can lift this degeneracy. 14 However, the mobility in standard samples deposited on a SiO 2 substrate is in general too low in order to resolve such effects.…”

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confidence: 99%

Fine structure of the lowest Landau level in suspended trilayer graphene

et al. 2013

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Magneto-transport experiments on ABC-stacked suspended trilayer graphene reveal a complete splitting of the twelve-fold degenerated lowest Landau level, and, in particular, the opening of an exchange-driven gap at the charge neutrality point. A quantitative analysis of distinctness of the quantum Hall plateaus as a function of field yields a hierarchy of the filling factors: \nu=6, 4, and 0 are the most pronounced, followed by \nu=3, and finally \nu=1, 2 and 5. Apart from the appearance of a \nu=4 state, which is probably caused by a layer asymmetry, this sequence is in agreement with Hund's rules for ABC-stacked trilayer graphene

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“…In view of Eqs. (39) and (40), the ν = 0 gap will become even more prominent with increasing bias u, in contrast to the ν = ±3 gap.…”

Section: Generalizationmentioning

confidence: 95%

“…Actually trilayers drew theorists' attention [33][34][35][36] even before experiments and their rich electronic properties [37][38][39] have been under active study. Currently considerable attention [40][41][42] is directed to ABCstacked trilayers which are a chiral generalization of bilayer graphene.…”

Section: Introductionmentioning

confidence: 99%

Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels inABC-stacked trilayer graphene

Shizuya

2013

Phys. Rev. B

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In a magnetic field graphene trilayers support a characteristic multiplet of 12 zero(-energy)-mode Landau levels with a threefold degeneracy in Landau orbitals. It was earlier noted for bilayer graphene that Coulombic vacuum fluctuations, specific to graphene, lift the orbital degeneracy of such zero-energy modes and that these "Lamb-shfted" orbital modes, with filling, get mixed via the Coulomb interaction. It is pointed out that analogous orbital Lamb shift and mixing of zero-mode levels can also take place, with an enriched symmetry content, in ABC-stacked trilayer graphene; and its consequences are discussed in the light of experimental results.

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Landau level spectrum ofABA- andABC-stacked trilayer graphene

Cited by 156 publications

References 42 publications

Effects of long-range disorder and electronic interactions on the optical properties of graphene quantum dots

Effects of long-range disorder and electronic interactions on the optical properties of graphene quantum dots

Fine structure of the lowest Landau level in suspended trilayer graphene

Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels inABC-stacked trilayer graphene

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