Geometric resonances in the magnetoresistance of hexagonal lateral superlattices

2012/08/31 by Yuto Kato, Akira Endo, Shingo Katsumoto +1
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Amplitude #Antiferromagnetism #Chemistry #Commensurability (mathematics) #Condensed matter physics #Diffraction #Dirac fermion #Geometry #Graphene #Graphene research and applications #Hexagonal crystal system #Hexagonal lattice #Lattice (music) #Lattice constant #Magnetic field #Magnetoresistance #Massless particle #Mathematics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Superlattice #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.86.235315

published as Phys. Rev. B 86, 235315 (2012) · 11 pages, 9 figures, minor revision

openalex publication_date 2012/12/27 · arxiv created 2012/12/28 · arxiv updated 2013/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We have measured magnetoresistance of hexagonal lateral superlattices. We observe three types of oscillations engendered by periodic potential modulation having hexagonal-lattice symmetry: amplitude modulation of the Shubnikov-de Haas oscillations, commensurability oscillations, and the geometric resonances of open orbits generated by Bragg reflections. The latter two reveal the presence of two characteristic periodicities, √(3)a/2 and a/2, inherent in a hexagonal lattice with the lattice constant a. The formation of the hexagonal-superlattice minibands manifested by the observation of open orbits marks the first step toward realizing massless Dirac fermions in semiconductor 2DEGs.

Citations

• Making Massless Dirac Fermions from a Patterned Two-Dimensional Electron Gas
• Commensurability oscillations due to pinned and drifting orbits in a two-dimensional lateral surface superlattice
• Origin of positive magnetoresistance in small-amplitude unidirectional lateral superlattices
• Exact results for interacting electrons in high Landau levels
• Higher order terms in the geometric resonance of open orbits in unidirectional lateral superlattices
• Engineering artificial graphene in a two-dimensional electron gas
• Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels
• Edge state in graphene ribbons: Nanometer size effect and edge shape dependence
• Anisotropic transport in unidirectional lateral superlattice around half filling of the second Landau level
• Fourier analyses of commensurability oscillations in Fibonacci lateral superlattices