Weak localization and Raman study of anisotropically etched graphene antidots

Oberhuber, Florian; Blien, Stefan; Heydrich, Stefanie; Yaghobian, Fatemeh; Korn, Tobias; Schüller, Christian; Strunk, Christoph; Weiss, Dieter; Eroms, Jonathan

doi:10.1063/1.4824025

Cited by 29 publications

(41 citation statements)

References 42 publications

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“…Experimental fabrication techniques like block copolymer [3,4,65] or electron beam lithography [66][67][68] inevitably lead to disorder and imperfect edges. However, it may be possible to control the edge geometry of the antidot by heat treatment [67,69] or selective etching [68,70].…”

Section: Vortex Currents Near Perforationsmentioning

confidence: 99%

Patched Green's function techniques for two-dimensional systems: Electronic behavior of bubbles and perforations in graphene

et al. 2015

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We present a numerically efficient technique to evaluate the Green's function for extended two dimensional systems without relying on periodic boundary conditions. Different regions of interest, or 'patches', are connected using self energy terms which encode the information of the extended parts of the system. The calculation scheme uses a combination of analytic expressions for the Green's function of infinite pristine systems and an adaptive recursive Green's function technique for the patches. The method allows for an efficient calculation of both local electronic and transport properties, as well as the inclusion of multiple probes in arbitrary geometries embedded in extended samples. We apply the Patched Green's function method to evaluate the local densities of states and transmission properties of graphene systems with two kinds of deviations from the pristine structure: bubbles and perforations with characteristic dimensions of the order of 10-25 nm, i.e. including hundreds of thousands of atoms. The strain field induced by a bubble is treated beyond an effective Dirac model, and we demonstrate the existence of both Friedel-type oscillations arising from the edges of the bubble, as well as pseudo-Landau levels related to the pseudomagnetic field induced by the nonuniform strain. Secondly, we compute the transport properties of a large perforation with atomic positions extracted from a TEM image, and show that current vortices may form near the zigzag segments of the perforation.

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Section: Vortex Currents Near Perforationsmentioning

confidence: 99%

Patched Green's function techniques for two-dimensional systems: Electronic behavior of bubbles and perforations in graphene

et al. 2015

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“…Such structures are fabricated either by e-beam lithography [16,17] or using diblock copolymer templates [18,19]. Moreover, Oberhuber et al [20] have fabricated GALs with hexagonal antidots. They used an etching technique that selectively etches armchair edges, which produces hexagonal antidots with zigzag edges.…”

Section: Introductionmentioning

confidence: 99%

Electronic and optical properties of graphene antidot lattices: comparison of Dirac and tight-binding models

Brun

Thomsen

Pedersen

2014

J. Phys.: Condens. Matter

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Abstract. The electronic properties of graphene may be changed from semimetallic to semiconducting by introducing perforations (antidots) in a periodic pattern. The properties of such graphene antidot lattices (GALs) have previously been studied using atomistic models, which are very time consuming for large structures. We present a continuum model that uses the Dirac equation (DE) to describe the electronic and optical properties of GALs. The advantages of the Dirac model are that the calculation time does not depend on the size of the structures and that the results are scalable. In addition, an approximation of the band gap using the DE is presented. The Dirac model is compared with nearest-neighbour tight-binding (TB) in order to assess its accuracy. Extended zigzag regions give rise to localized edge states, whereas armchair edges do not. We find that the Dirac model is in quantitative agreement with TB for GALs without edge states, but deviates for antidots with large zigzag regions.

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“…Moreover, the influence of magnetic fields on perfectly periodic GALs and isolated antidots has been studied at the level of full atomistic approaches [25], the Dirac approximation [26], or the simple gapped graphene model [27]. Experimental fabrication of GALs involves invasive techniques such as electron beam or block copolymer lithography [28][29][30][31][32][33][34][35][36][37]. A major issue is the deterioration of the graphene sheet quality and the difficulty in maintaining a uniform size and separation of antidots throughout the lattice.…”

Section: Introductionmentioning

confidence: 99%

Electron trajectories and magnetotransport in nanopatterned graphene under commensurability conditions

et al. 2017

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Weak localization and Raman study of anisotropically etched graphene antidots

Cited by 29 publications

References 42 publications

Patched Green's function techniques for two-dimensional systems: Electronic behavior of bubbles and perforations in graphene

Patched Green's function techniques for two-dimensional systems: Electronic behavior of bubbles and perforations in graphene

Electronic and optical properties of graphene antidot lattices: comparison of Dirac and tight-binding models

Electron trajectories and magnetotransport in nanopatterned graphene under commensurability conditions

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