Engineering Topological Quantum States: From 1D to 2D
Jelena Klinovaja
University of Basel
Thu, Feb. 16th 2017, 10:00-12:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

I will discuss low-dimensional condensed matter systems, in which topological properties could be engineered per demand. Majorana fermions can emerge in hybrid systems with proximity pairing in which the usually weak Rashba spin-orbit interaction is replaced by magnetic textures. I will discuss candidate materials such as semiconducting nanowires [1] and atomic magnetic chains [2]. One further goal is to go beyond Majorana fermions and to identify systems that can host quasiparticles with more powerful non-Abelian statistics such as parafermions in double wires coupled by crossed Andreev reflections [3,4]. Next, I will focus on ``strip of stripes model'' consisting of weakly coupled one-dimensional wires [5-7], where interaction effects in the wires can be treated non-perturbatively via bosonization. Such systems can exhibit the integer or fractional quantum Hall effect, spin Hall effect, and anomalous Hall effect. \\ \\ {[1]} J. Klinovaja and D. Loss, Phys. Rev. B 86, 085408 (2012). \\ {[2]} J. Klinovaja, P. Stano, A. Yazdani, and D. Loss, Phys. Rev. Lett. 111, 186805 (2013). \\ {[3]} J. Klinovaja and D. Loss, Phys. Rev. B 90, 045118 (2014). \\ {[4]} J. Klinovaja, A. Yacoby, and D. Loss, Phys. Rev. B 90, 155447 (2014). \\ {[5]} J. Klinovaja and D. Loss, Phys. Rev. Lett. 111, 196401 (2013); J. Klinovaja and D. Loss, Eur. Phys. J. B 87, 171 (2014). \\ {[6]} J. Klinovaja and Y. Tserkovnyak, Phys. Rev. B 90, 115426 (2014). \\ {[7]} J. Klinovaja, Y. Tserkovnyak, and D. Loss, Phys. Rev. B 91, 085426 (2015). \\ \\ (Organizer: IPhT/Cristina Bena)

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