Chaos and open orbits in hole-antidot arrays with non-isotropic Fermi surface

Zitzlsperger, M; Onderka, Roland; Suhrke, Michael; Rößler, U.; Weiss, Dieter; Wegscheider, Werner; Bichler, Max; Winkler, Roland; Hirayama, Y.; Muraki, K.

doi:10.1209/epl/i2003-00185-0

Cited by 8 publications

(9 citation statements)

References 16 publications

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“…7 It has been shown to lead to multiband transport, 4,6 to modified Landau level degeneracies, [4][5][6] and to additional harmonics in the cyclotron resonance modes. 7 In general, Fermi surface anisotropy is also expected to have effects on the mesoscopic transport properties, 8,9 such as anisotropic electron conduction. This effect has recently been evidenced in ballistic transport experiments in BLG and attributed to TW.…”

Section: Main Textmentioning

confidence: 99%

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

Joucken

Quezada-López

et al. 2020

Phys. Rev. B

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The existence of strong trigonal warping around the K point for the low energy electronic states in multilayer ( ≥ 2) graphene films and graphite is well established. It is responsible for phenomena such as Lifshitz transitions and anisotropic ballistic transport. The absolute orientation of the trigonal warping with respect to the center of the Brillouin zone is however not agreed upon. Here, we use quasiparticle scattering experiments on a gated bilayer graphene/hexagonal boron nitride heterostructure to settle this disagreement. We compare Fourier transforms of scattering interference maps acquired at various energies away from the charge neutrality point with tight-binding-based joint density of states simulations. This comparison enables unambiguous determination of the trigonal warping orientation for bilayer graphene low energy states. Our experimental technique is promising for quasi-directly studying fine features of the band structure of two-dimensional materials such as topological transitions, interlayer hybridization, and moiré minibands.

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Section: Main Textmentioning

confidence: 99%

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

Joucken

Quezada-López

et al. 2020

Phys. Rev. B

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“…That the cyclotron orbit from one antidot to the other affects magnetoresistance properties suggests that the antidot lattice could be used to detect anisotropy of the Fermi surface [11]. To illustrate the basic idea, here we consider the simplest cases in panels (i)-(iii) of Fig.…”

Section: (B)mentioning

confidence: 99%

Ballistic transport experiment detects Fermi surface anisotropy of graphene

et al. 2019

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Monolayer graphene and bilayer graphene have strikingly different properties. One such difference is the shape of the Fermi surface. Although anisotropic band structures can be detected in optical measurements, they have so far been difficult to detect in transport experiments on twodimensional materials. Here we describe a ballistic transport experiment using high-quality graphene that revealed Fermi surface anisotropy in the magnetoresistance. The shape of the Fermi surface is closely related with the cyclotron orbit in real space. Electron trajectories in samples with triangular lattices of holes depend on the anisotropy of the Fermi surface. We found that this results in the magnetoresistance which are dependent on crystallographic orientation of the antidot lattice, which indicates the anisotropic Fermi surface of bilayer graphene which is a trigonally-warped circle in shape. While in monolayer, shape of magnetoresistance was approximately independent of the orientation of antidot lattice, which indicates that the Fermi surface is a circle in shape. The ballistic transport experiment is a new method of detecting anisotropic electronic band structures in two-dimensional electron systems.

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“…Therefore, detection of an anisotropic cyclotron orbit is direct proof of an anisotropic Fermi surface. Such proof could be acquired in a ballistic transport experiment using an antidot lattice [41][42], which, as shown schematically in Fig. 1(c), is a regular array of nano-holes [42][43][44][46][47][48][49][50][51].…”

Section: Introductionmentioning

confidence: 97%

“…1(c), is a regular array of nano-holes [42][43][44][46][47][48][49][50][51]. If the mean free path of the conductor is sufficiently long, the magnetoresistance shows peaks (commensurability peaks) arising from matching of the cyclotron diameter with the distance between antidots [42][43][44][46][47][48][49][50] (cases 1-3 in Fig. 1(c)).…”

Section: Introductionmentioning

confidence: 99%

Multiband Ballistic Transport and Anisotropic Commensurability Magnetoresistance in Antidot Lattices of AB-stacked Trilayer Graphene

et al. 2020

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Ballistic transport was studied in a multiple-band system consisting of an antidot lattice of AB-stacked trilayer graphene. The low temperature magnetoresistance showed commensurability peaks arising from matching of the antidot lattice period and radius of cyclotron orbits for each mono-and bilayer-like band in AB stacked trilayer graphene. The commensurability peak of the monolayer-like band appeared at a lower magnetic field than that of the bilayer-like band, which reflects the fact that the Fermi surface of the bilayer-like band is larger than that of monolayer-like band. Rotation of the antidot lattice relative to the crystallographic axes of graphene resulted in anisotropic magnetoresistance, which reflects the trigonally warped Fermi surface of the bilayer-like band. Numerical simulations of magnetoresistance that assumed ballistic transport in the mono-and bilayer-like bands approximately reproduced the observed magnetoresistance features. It was found that the monolayer-like band significantly contributes to the conductivity even though its carrier density is an order smaller than that of the bilayer-like band. These results indicate that ballistic transport experiments could be used for studying the anisotropic band structure of multiple-band systems.

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Chaos and open orbits in hole-antidot arrays with non-isotropic Fermi surface

Cited by 8 publications

References 16 publications

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

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

Ballistic transport experiment detects Fermi surface anisotropy of graphene

Multiband Ballistic Transport and Anisotropic Commensurability Magnetoresistance in Antidot Lattices of AB-stacked Trilayer Graphene

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