Determination of the trigonal warping orientation in Bernal-stacked bilayer graphene via scanning tunneling microscopy

Joucken, Frédéric; Ge, Zhehao; Quezada-López, Eberth A.; Davenport, John L.; Watanabe, Kenji; Taniguchi, Takashi; Velasco, Jairo

doi:10.1103/physrevb.101.161103

Cited by 23 publications

(30 citation statements)

References 50 publications

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“…Our most interesting observations are that at the energies close to the Dirac points the real-space oscillations reflect the symmetry of the trigonal warping, and most saliently, one can extract in a closed analytical form the arXiv:2105.01068v1 [cond-mat.mes-hall] 3 May 2021 values of momenta at which the oscillations occur. By analyzing our findings both in the real and Fourier space, we provide a comparison with recent experiments and semi-analytical calculations [24,38], and we show that our results are in good agreement with the experimental observations.…”

Section: Introductionsupporting

confidence: 77%

“…It was anticipated theoretically [20][21][22] and confirmed experimentally [23][24][25][26][27][28] that there is a threefold symmetric warping of the bands in bilayer graphene, the so-called "trigonal warping". Originating from the interlayer coupling between non-dimer orbitals A1 and B2, the latter splits the Dirac points inherent in graphene-like systems into four Dirac points, as it is shown in Fig.…”

Section: Introductionmentioning

confidence: 86%

“…It is worth noting that the effect of the trigonal warping observable in experiments is stronger as one approaches the Dirac points. Finally, note that some confusion regarding the orientation of the trigonal warping has been solved both theoretically [31] and experimentally [24].…”

Section: Introductionmentioning

confidence: 99%

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Quasiparticle interference patterns in bilayer graphene with trigonal warping

Kaladzhyan

Joucken

et al. 2021

Phys. Rev. B

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We calculate the form of quasiparticle interference patterns in bilayer graphene within a lowenergy description, taking into account perturbatively the trigonal warping terms. We introduce four different types of impurities localized on the A and B sublattices of the first and the second layer, and we obtain closed-form analytical expressions both in real and Fourier spaces for the oscillatory corrections to the local density of states generated by the impurities. Finally, we compare our findings with recent experimental and semi-analytical T-matrix results from arXiv:2104.10620 and we show that there is a very good agreement between our findings and the previous results, as well as with the experimental data.

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Section: Introductionsupporting

confidence: 77%

Section: Introductionmentioning

confidence: 86%

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Quasiparticle interference patterns in bilayer graphene with trigonal warping

Kaladzhyan

Joucken

et al. 2021

Phys. Rev. B

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“…46 , which includes a minus sign in front of v 3 > 0. This sign determines the orientation of the trigonal distortion and the three Dirac replicas of the band structure of bilayer graphene at very low energies, and it has been shown to be negative in DFT analysis 46 and in recent ARPES measurements 49 . We point out that an extra term in Eq.…”

Section: B Hkptb Model For Aligned Bilayer Graphene With An Arbitrary...mentioning

confidence: 98%

Full Slonczewski-Weiss-McClure parametrization of few-layer twistronic graphene

2021

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We use a hybrid k • p theory -tight binding (HkpTB) model to describe interlayer coupling simultaneously in both Bernal and twisted graphene structures. For Bernal-aligned interfaces, HkpTB is parametrized using the full Slonczewski-Weiss-McClure (SWMcC) Hamiltonian of graphite 1 , which is then used to refine the commonly used minimal model for twisted interfaces 2,3 , by deriving additional terms that reflect all details of the full SWMcC model of graphite. We find that these terms introduce some electron-hole asymmetry in the band structure of twisted bilayers, but in twistronic multilayer graphene, they produce only a subtle change of moiré miniband spectra, confirming the broad applicability of the minimal model for implementing the twisted interface coupling in such systems.

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“…The signs of the hopping parameters are chosen to address the ambiguity discussed in Ref. [33,34]. The magnitude of the Grüneisen parameter η0 follows from both Raman spectroscopy measurements (η0 ≈ −1.99) and first principles calculations (η0 ≈ −1.87) [35].…”

Section: Theory a Tight-binding Modelmentioning

confidence: 99%

Electrically tunable and reversible magnetoelectric coupling in strained bilayer graphene

Schaefer,

Nowack

2021

Preprint

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The valleys in hexagonal two-dimensional systems with broken inversion symmetry carry an intrinsic orbital magnetic moment. Despite this, such systems possess zero net magnetization unless additional symmetries are broken, since the contributions from both valleys cancel. A nonzero net magnetization can be induced through applying both uniaxial strain to break the rotational symmetry of the lattice and an in-plane electric field to break time-reversal symmetry owing to the resulting current. This creates a magnetoelectric effect whose strength is characterized by a magnetoelectric susceptibility, which describes the induced magnetization per unit applied in-plane electric field. Here, we predict the strength of this magnetoelectric susceptibility for Bernal-stacked bilayer graphene as a function of the magnitude and direction of strain, the chemical potential, and the interlayer electric field. We estimate that an orbital magnetization of 5400 µB/µm 2 can be achieved for 1 % uniaxial strain and a 10 µA bias current, which is almost three orders of magnitude larger than previously probed experimentally in strained monolayer MoS2. We also identify regimes in which the magnetoelectric susceptibility not only switches sign upon reversal of the interlayer electric field but also in response to small changes in the carrier density. Taking advantage of this reversibility, we further show that it is experimentally feasible to probe the effect using scanning magnetometry.

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Determination of the trigonal warping orientation in Bernal-stacked bilayer graphene via scanning tunneling microscopy

Cited by 23 publications

References 50 publications

Quasiparticle interference patterns in bilayer graphene with trigonal warping

Quasiparticle interference patterns in bilayer graphene with trigonal warping

Full Slonczewski-Weiss-McClure parametrization of few-layer twistronic graphene

Electrically tunable and reversible magnetoelectric coupling in strained bilayer graphene

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