Bloch oscillations in the magnetoconductance of twisted bilayer graphene
arXiv:2203.01858 · doi:10.1103/PhysRevB.105.L241408
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.
arXiv comment6 pages, 7 figures, Note added: A semiclassical theory for the side branches in figure 4b is given in Appendix B of arXiv:2207.10066
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- Quantum Metric-induced Oscillations in Flat Bands
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- Effects of spin-orbit coupling in a valley chiral kagomé network
- Tunable Topological Phases in Quantum Kirigamis