Ballistic transport in graphene antidot lattices

Yagi, Ryuta; Sakakibara, Ryoji; Ebisuoka, Ryoya; Onishi, Jumpei; Watanabe, Kenji; Taniguchi, Takashi; Iye, Yasuhiro

doi:10.1103/physrevb.92.195406

Cited by 31 publications

(46 citation statements)

References 27 publications

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“…SL engineering in graphene has been pursued extensively utilizing electrostatic gating schemes [13][14][15] as well as direct modification by chemical doping 16 , etching [17][18][19] , and strain engineering 20 . In all of these efforts the primary technical challenge remains the SL length scale.…”

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confidence: 99%

Band structure engineering of 2D materials using patterned dielectric superlattices

et al. 2018

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The ability to manipulate electrons in two-dimensional materials with external electric fields provides a route to synthetic band engineering. By imposing artificially designed and spatially periodic superlattice potentials, electronic properties can be further altered beyond the constraints of naturally occurring atomic crystals. Here, we report a new approach to fabricate high-mobility superlattice devices by integrating surface dielectric patterning with atomically thin van der Waals materials. By separating the device assembly and superlattice fabrication processes, we address the intractable trade-off between device processing and mobility degradation that constrains superlattice engineering in conventional systems. The improved electrostatics of atomically thin materials allows smaller wavelength superlattice patterns relative to previous demonstrations. Moreover, we observe the formation of replica Dirac cones in ballistic graphene devices with sub-40 nm wavelength superlattices and report fractal Hofstadter spectra under large magnetic fields from superlattices with designed lattice symmetries that differ from that of the host crystal. Our results establish a robust and versatile technique for band structure engineering of graphene and related van der Waals materials with dynamic tunability.

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confidence: 99%

Band structure engineering of 2D materials using patterned dielectric superlattices

et al. 2018

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“…By encapsulating graphene in hexagonal boron nitride (hBN) during the nanopatterning step, Sandner et al [52] demonstrated that the sample quality can be protected, and consequently they observed pronounced commensurability peaks that they associated with orbits around one, two, or four antidots in a square lattice. A contemporaneous study by Yagi et al [53], using a different etching technique, found commensurability features in triangular lattices with smaller mean free paths, suggesting that scattering between nearest-neighbor antidots plays a key role.…”

Section: Introductionmentioning

confidence: 99%

Electron trajectories and magnetotransport in nanopatterned graphene under commensurability conditions

et al. 2017

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“…A realization is shown in figure 2(b). (Note that this boundary roughness is distinct from the impurity scattering, which we also included in our model, see equation (8). )…”

Section: Modelmentioning

confidence: 99%

“…They were first fabricated by ion-beam implantation [1] or by etching periodic arrays of holes with periods of a few hundred nanometers into the 2DEG of AlGaAs/GaAs heterostructures [2] and by modulation of the 2DEG by nanostructured lateral metal gates [3]. Since then antidots were realized in many different materials [4][5][6], and recently also in graphene [7][8][9] and topological insulators [10]. They are a prime example of devices showing features of ballistic transport: when the typical length scales of a device become smaller than the mean free path of the electrons, transport is no longer dominated by diffusion due to impurity, phonon or electron-electron scattering.…”

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Robustness of ballistic transport in antidot superlattices

2019

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The magneto-resistance of antidot lattices shows pronounced peaks, which became a hallmark of ballistic electron transport. While most studies agree that they reflect the interplay of regular and chaotic motion in the quasi-classical dynamics, the exact mechanism has been surprisingly controversial. Inspired by recent experiments on graphene antidot lattices showing that the effect survives strong impurity scattering, we give a new explanation of the peaks linked to a fundamental relation between collision times and accessible phase space volumes, accounting for their robustness. Due to the fundamental nature of the mechanism described it will be relevant in many mesoscopic transport phenomena.

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Ballistic transport in graphene antidot lattices

Cited by 31 publications

References 27 publications

Band structure engineering of 2D materials using patterned dielectric superlattices

Band structure engineering of 2D materials using patterned dielectric superlattices

Electron trajectories and magnetotransport in nanopatterned graphene under commensurability conditions

Robustness of ballistic transport in antidot superlattices

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