Regensburg 2022 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 2: Nanotubes, Nanoribbons and Graphene
TT 2.6: Talk
Monday, September 5, 2022, 10:45–11:00, H22
Tunable geometric phase in graphene quantum dots with spin-orbit coupling — •Dario Bercioux1,2, Diego Frustaglia3, and Alessandro De Martino4 — 1Donostia International Physics Center (DIPC), Manuel de Lardizbal 4, E-20018 San Sebastián, Spain — 2IKERBASQUE, Basque Foundation for Science, Euskadi Plaza, 5, 48009 Bilbao, Spain — 3Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain — 4Department of Mathematics, City, University of London, London EC1V 0HB, United Kingdom
We show how chiral states in circular graphene pn junctions subject to normal magnetic fields and strong proximitized spin-orbit coupling can mimic those of propagating spin carriers in semiconducting quantum rings. We derive the effective one-dimensional Hamiltonian governing the spin dynamics of the zero-mode and calculate the associated geometric phase. We find that for a given polarity of the junction, it exists a special point in parameter space where the spin is fully polarized along the radial direction in the graphene plane. We further propose a quantum-Hall interferometer where these features can be readily identified.