Interface Landau levels in graphene monolayer-bilayer junctions

Koshino, Mikito; Nakanishi, Takeshi; Ando, Tsuneya

doi:10.1103/physrevb.82.205436

Cited by 44 publications

(35 citation statements)

References 63 publications

(83 reference statements)

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“…In experimentally produced bilayer graphene or graphene flake, it is often observed that the top-layer is interrupted suddenly while the bottom-layer still keeps going [6,7]. Based on promising electronic properties of hybrid bilayer/monolayer graphene experimentally synthesized by epitaxial growth, investigating thermal properties of these structures is important in thermal management of electronic devices as well as thermoelectric applications [8,9,6,10,11,12]. In such a hybrid layered nanostructure, the step-like configurations can be considered as an interface or intercept which imposes significant effects on electrical properties.…”

Section: Introductionmentioning

confidence: 99%

Inter-layer and intra-layer heat transfer in bilayer/monolayer graphene van der Waals heterostructure: Is there a Kapitza resistance analogous?

Rajabpour

Fan

Allaei

2018

Applied Physics Letters

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Van der Waals heterostructures have exhibited interesting physical properties. In this paper, heat transfer in hybrid coplanar bilayer/monolayer (BL-ML) graphene, as a model layered van der Waals heterostructure, was studied using non-equilibrium molecular dynamics (MD) simulations. Temperature profile and inter-and intra-layer heat fluxes of the BL-ML graphene indicated that, there is no fully developed thermal equilibrium between layers and the drop in average temperature profile at the step-like BL-ML interface is not attributable to the effect of Kapitza resistance. By increasing the length of the system up to 1 µm in the studied MD simulations, the thermally non-equilibrium region was reduced to a small area near the step-like interface. All MD results were compared to a continuum model and a good match was observed between the two approaches. Our results provide a useful understanding of heat transfer in nano-and micro-scale layered 2D materials and van der Waals heterostructures.

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Section: Introductionmentioning

confidence: 99%

Inter-layer and intra-layer heat transfer in bilayer/monolayer graphene van der Waals heterostructure: Is there a Kapitza resistance analogous?

Rajabpour

Fan

Allaei

2018

Applied Physics Letters

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“…In the limit ∆ → 0, this solution reduces to the one used in Ref. 32 in the description of interface states on the monolayer-bilayer graphene junction. The boundary conditions at the zigzag edge y = 0 of the half plane (which corresponds to η = −kl) are 24 Ψ s ξAi (−kl) = 0, i = 1, 2;…”

Section: A Dispersion Equations For Half Planementioning

confidence: 98%

Edge states in bilayer graphene in a magnetic field

Pyatkovskiy

2013

Phys. Rev. B

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Edge states in biased bilayer graphene in a magnetic field are studied within the four-band continuum model. The analysis is done for the semi-infinite graphene plane and for the graphene ribbon of a finite width, in the cases of zigzag and armchair edges. Exact dispersion equations for the edge states and analytic expressions for their wave functions are written in terms of the parabolic cylinder functions. The spectrum of edge states for each type of the boundary conditions is found by numerically solving the corresponding dispersion equations. The low-energy modes localized at zigzag edges are explored in detail.Comment: 15 pages, 8 figures, v2: to match published versio

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“…The wave functions are distributed in the piecewise form near the interface between two regions, where the distorted bilayer and monolayer Landau wave functions are joined. [398] But for W t = 2W b /5 and d s = (W b − W t + b)/2 ( Fig. 39(b)), there are two monolayer-like QLLs, one bilayer-like QLLs, and two extra groups of intermediate Landau subbands, reflecting the geometric structure with two interfaces.…”

Section: A Magneto-electronic Propertiesmentioning

confidence: 99%

Electronic and optical properties of graphene nanoribbons in external fields

Chung

Chang

Lin

et al. 2016

Phys. Chem. Chem. Phys.

106

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A review work is done for the electronic and optical properties of graphene nanoribbons in magnetic, electric, composite, and modulated fields. Effects due to the lateral confinement, curvature, stacking, non-uniform subsystems and hybrid structures are taken into account. The special electronic properties, induced by complex competitions between external fields and geometric structures, include many one-dimensional parabolic subbands, standing waves, peculiar edge-localized states, width- and field-dependent energy gaps, magnetic-quantized quasi-Landau levels, curvature-induced oscillating Landau subbands, crossings and anti-crossings of quasi-Landau levels, coexistence and combination of energy spectra in layered structures, and various peak structures in the density of states. There exist diverse absorption spectra and different selection rules, covering edge-dependent selection rules, magneto-optical selection rule, splitting of the Landau absorption peaks, intragroup and intergroup Landau transitions, as well as coexistence of monolayer-like and bilayer-like Landau absorption spectra. Detailed comparisons are made between the theoretical calculations and experimental measurements. The predicted results, the parabolic subbands, edge-localized states, gap opening and modulation, and spatial distribution of Landau subbands, have been identified by various experimental measurements.

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Interface Landau levels in graphene monolayer-bilayer junctions

Cited by 44 publications

References 63 publications

Inter-layer and intra-layer heat transfer in bilayer/monolayer graphene van der Waals heterostructure: Is there a Kapitza resistance analogous?

Inter-layer and intra-layer heat transfer in bilayer/monolayer graphene van der Waals heterostructure: Is there a Kapitza resistance analogous?

Edge states in bilayer graphene in a magnetic field

Electronic and optical properties of graphene nanoribbons in external fields

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