Electric potentials applied to bilayer graphene via top and bottom gates create confined states via gap opening. However, there exist two distinct types of confinement, namely, trivial and topological. In this talk I will discuss and compare both cases [1]. Trivial confinement corresponds to the same polarity of top gates, which is opposed to that of all bottom ones. Topological confinement requires the polarity of part of the top-bottom pairs of gates to be reversed [2,3]. We demonstrate that the main qualitative difference between trivial and topological bound states manifests itself in their magnetic field dependence.
[1] Nassima Benchtaber, David Sánchez, Llorenç Serra. Trivial and topological bound states in bilayer graphene quantum dots and ring, Physica Status Solidi B, vol 259, 2200023 (1-6) (2022) (Special issue back cover).
[2] Nassima Benchtaber, David Sánchez, Llorenç Serra. Scattering of topological kink-antikink states in bilayer graphene, Physical Review B, vol 104, 155303 (1-9) (2021).
[3] Nassima Benchtaber, David Sánchez, Llorenç Serra. Geometry effects in topologically confined bilayer graphene loops, New Journal of Physics, vol 24, 013001 (1-11) (2021).
Zoom link: https://us06web.zoom.us/j/83604645352?pwd=bGx0WlZWYldNSjFMazVtZmhLSktXUT09
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