Low-energy transport theory of hybrid topologically superconducting devices
Final Report Abstract
In this project, different geometries of nanoscopic devices have been theoretically investigated, which include topologically superconducting wires and normal or conventional superconducting electrodes. In this context, the topologically nontrivial wires are characterized by the existence of exotic Majorana modes at the edge, the detection of which is currently a central problem in solid-state physics. The investigated multiterminal geometries allow to extract clear experimental signatures for Majorana states by determining the current-phase relation (in equilibrium) or the current-voltage characteristics or the current noise (in non-equilibrium). In addition, we investigated the case of a magnetic quantum dot in the condor regime coupled either to two conventional superconductors or to one conventional and one topological superconductor. Here, our generalization of the Nozières-Fermi liquid theory to superconducting systems provides a powerful method for theoretical work on condo effects in superconductors.
Publications
- Hanbury Brown and Twiss noise correlations in a topological superconductor beam splitter, Physical Review B 95, 054514 (2017)
T. Jonckheere, J. Rech, A. Zazunov, R. Egger, and T. Martin
(See online at https://doi.org/10.1103/PhysRevB.95.054514) - Josephson efect in multiterminal topological junctions, Physical Review B 96, 024516 (2017)
A. Zazunov, R. Egger, M. Alvarado, and A. Levy Yeyati
(See online at https://doi.org/10.1103/PhysRevB.96.024516) - Fermi liquid approach for supercon-ducting Kondo problems, Physical Review Letters 121, 207701 (2018)
A. Zazunov, S. Plugge, and R. Egger
(See online at https://doi.org/10.1103/PhysRevLett.121.207701) - Josephson efect in junctions of conventional and topological supercoductors, Beilstein Journal of Nanotechnology 9, 1659 (2018)
A. Zazunov, A. Iks, M. Alvarado, A. Levy Yeyati, and R. Egger
(See online at https://doi.org/10.3762/bjnano.9.158) - Giant shot noise from Majorana zero modes in topological trijunctions, Physical Review Letters 122, 097003 (2019)
T. Jonckheere, J. Rech, A. Zazunov, R. Egger, A. Levy Yeyati, and T. Martin
(See online at https://doi.org/10.1103/physrevlett.122.097003)
