Bloch oscillations in the magnetoconductance of twisted bilayer graphene

Abstract

We identify a mapping between two-dimensional (2D) electron transport in a minimally twisted graphene bilayer and a 1D quantum walk, where one spatial dimension plays the role of time. In this mapping a magnetic field B perpendicular to the bilayer maps onto an electric field. Bloch oscillations due to the periodic motion in a 1D Bloch band can then be observed in purely DC transport as magnetoconductance oscillations with periodicity set by the Bloch frequency.

6 pages, 7 figures, Note added: A semiclassical theory for the side branches in figure 4b is given in Appendix B of arXiv:2207.10066

References in corpus (6)

• Aharonov-Bohm Oscillations in Minimally Twisted Bilayer Graphene
• Valley protected one-dimensional states in small-angle twisted bilayer graphene
• Bloch-Landau-Zener dynamics induced by a synthetic field in a photonic quantum walk
• Synchronizing Bloch-oscillating free carriers in moiré flat bands
• Effective Floquet model for minimally twisted bilayer graphene
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• Floquet-Bloch Theory for Nonperturbative Response to a Static Drive
• Josephson junction of minimally twisted bilayer graphene
• Quantum Metric-induced Oscillations in Flat Bands
• Breathing mode in open-orbit magnetotransport: a magnetic lens with a quantum mechanical focal length
• Optical Absorption and Emission from Wannier-Stark Spectra of Moiré Superlattices
• Effects of spin-orbit coupling in a valley chiral kagomé network
• Tunable Topological Phases in Quantum Kirigamis