Bloch oscillations in the magnetoconductance of twisted bilayer graphene
T. Vakhtel, D. O. Oriekhov, and C. W. J. Beenakker
TL;DR
This paper reveals a novel mapping between 2D electron transport in twisted bilayer graphene and a 1D quantum walk, demonstrating how Bloch oscillations manifest as magnetoconductance oscillations under a magnetic field.
Contribution
It introduces a new theoretical framework linking 2D electron transport in twisted bilayer graphene to 1D quantum walks, enabling observation of Bloch oscillations in DC transport.
Findings
Bloch oscillations appear as magnetoconductance oscillations.
Mapping between 2D graphene transport and 1D quantum walk.
Periodic magnetoconductance oscillations set by Bloch frequency.
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.
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