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TT: Fachverband Tiefe Temperaturen
TT 31: Topology: Majorana Physics
TT 31.11: Talk
Wednesday, March 29, 2023, 12:15–12:30, HSZ 304
Controlling Majorana modes via Fulde-Ferrell-Larkin-Ovchinnikov phases in topological superconductors and superfluids — •Pasquale Marra1,2, Daisuke Inotani2, Takeshi Mizushima3, and Muneto Nitta2 — 1Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan — 2Department of Physics, and Research and Education Center for Natural Sciences, Keio University, 4-1-1 Hiyoshi, Yokohama, Kanagawa 223-8521, Japan — 3Department of Materials Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
The next milestones in the route to topological quantum computation with Majorana modes are demonstrating their nonabelian braiding statistics and realizing Majorana-based topological qubits. To achieve this, most proposals require the manipulation of electric gates or magnetic fields in networks of proximitized semiconducting nanowires. Here, we focus on an alternative platform to obtain Majorana modes by employing inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phases in topological superconductors and superfluids. The FFLO state spontaneously breaks translational symmetry, inducing a periodic and spatial modulation of the superconducting pairing. We explore the interplay between FFLO order, nontrivial topology, and emergent quantum-mechanical supersymmetry and consider possible routes to realize nonabelian braiding in these platforms.