Thursday Thursday, October 25 Observation of neutral mo<strong>de</strong>s in the fractional quantum Hall regime Moty Heiblum Current propagates in the fractional quantum Hall effect (FQHE) regime along the edges of the two-dimensional-electron gas (2DEG) via chiral edge mo<strong>de</strong>s with a chirality dictated by the applied magnetic field. Early predictions suggested the presence of counter propagating edge mo<strong>de</strong>s for some fractional states, the so called, hole-conjugate states, such as ½
Thursday [3] B. A. Bernevig, T. L. Hughes, and S. -C. Zhang, Science 314, 1757 (2006). [4] M. Konig et al., Science 318, 766 (2007). [5] C.-X. Liu et al., Phys. Rev. B 83, 035407 (2011). [6] D. Chevallier et al., Phys. Rev. B 82, 155318 (2010). [7] B. J. Overbosch and C. Chamon, Phys. Rev. B 80, 035319 (2009). [8] J. C. Y. Teo and C. L. Kane, Phys. Rev. B 79, 235321 (2009). [9] A. Strom and H. Johannesson, Phys. Rev. Lett. 102, 096806 (2009). [10] T. L. Schmidt, Phys. Rev. Lett. 107, 096602 (2011). _________________________________________________________________________ Spinful Majorana fermions and magnetoelectricity in junctions of 1D quantum wiresuperconductor heterostructures Panagiotis Kotetes 1 , A. Shnirman 2 , G. Schön 1 1 <strong>Institut</strong> für Theoretische Festkörperphysik, Karlsruhe <strong>Institut</strong>e of Technology, 76128 Karlsruhe 2 <strong>Institut</strong> für Theorie <strong>de</strong>r Kon<strong>de</strong>nsierten Materie, Karlsruhe <strong>Institut</strong>e of Technology, 76128 Karlsruhe Recently, the interest in topological quantum computing has grown due to the appearance of promising platforms for realizing the long sought Majorana fermions. Among the proposals that seem suitable for engineering Majorana fermions, the most prominent involves a 1D semiconducting quantum wire in proximity to a bulk s-wave superconductor, where in addition a Zeeman field is applied. Here we investigate the Josephson effect in TNT and NTN junctions, consisting of topological (T) and normal (N) phases of semiconductorsuperconductor 1D heterostructures in the presence of a Zeeman field [1]. A key feature of our setup is that, in addition to the variation of the phase of the superconducting or<strong>de</strong>r parameter, we allow the orientation of the magnetic field to change along the junction. We find a novel magnetic contribution to the Majorana Josephson coupling that permits the Josephson current to be tuned by changing the orientation of the magnetic field along the junction. We also predict that a spin current can be generated by a finite superconducting phase difference, ren<strong>de</strong>ring these materials potential candidates for spintronic applications. Finally, this new type of coupling not only constitutes a unique fingerprint for the existence of Majorana fermions but also provi<strong>de</strong>s an alternative pathway for manipulating and braiding topological qubits in networks of wires. [1] P. Kotetes, A. Shnirman, G. Schön, arXiv:1207.2691.