Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 14: Graphene

TT 14.4: Vortrag

Montag, 1. April 2019, 15:45–16:00, H22

Spin-orbit coupled graphene pn-junction in a magnetic field — •D. Bercioux^1,2 and A. De Martino³ — ¹Donostia International Physics Center, Paseo Manuel de Lardizbal 4, E-20018 San Sebastián, Spain — ²IKERBASQUE, Basque Foundation of Science, 48011 Bilbao, Spain — ³Department of Mathematics, City, University of London, London EC1V 0HB, United Kingdom

We present a theoretical investigation of the spectral and transport properties of a pn junction in single-layer graphene in the presence of a uniform perpendicular magnetic field. The spectrum consists of localized bulk Landau-like and unidirectional interface states [1,2]. Specifically, we consider the effects of spin-orbit interactions (SOIs) on the spectrum of the pn junction. We show that the Rashba SOI [3] lifts the two-fold degeneracy of the zero mode. This degeneracy lifting takes place only in the transition from p- to n-region, whereas the modes are still two-fold degenerate in the bulk. We evaluate different observables along the transition region; particularly, we find that the spin density is different for the two zero modes and exhibits an oscillatory behaviour with the period depending on the strength of Rashba SOI. Finally, we discuss also the effects of Coulomb interaction on these chiral edge states in terms of Luttinger liquid theory.
[1] D. A. Abanin & L. S. Levitov, Science 317, 641 (2007)
[2] L. Cohnitz, A. De Martino, W. Häusler & R. Egger, Phys. Rev. B 94, 165443 (2016)
[3] D. Bercioux & A. De Martino, Phys. Rev. B 81, 165410 (2010).