Talk by Patrik Recher (TU Braunschweig) - Noise properties of Majorana bound states

I give an overview on our work on transport properties of Majorana bound states (MBSs) appearing at the edge of topological superconductors (TSCs). These non-Abelian quasiparticles are potential candidates for a topological qubit. However, so far, their existence has not been confirmed conclusively. Noise properties are well suited to investigate correlations between pairs of MBSs. We have developed a general framework of full counting statistics of networks of MBSs [1]. More recently, we have applied a Master equation approach allowing for the investigation of quasiparticle poisoning randomly flipping the parity of the nonlocal fermion comprised by two coupled MBSs leading to a giant Fano factor at low bias voltages [2]. We also suggested a new platform of TSC pn-junctions containing optical quantum dots which is well suited to detect (correlations of) Majorona spin-properties via the polarization-resolved photonic noise [3,4].

• [1] L. Weithofer, P. Recher, T.L. Schmidt, Phys. Rev. B 90, 205416 (2014).
• [2] F. Vinas Boström, P. Recher, Phys. Rev. B 111, L241405 (2025).
• [3] L. Bittermann, C. De Beule, D. Frombach, P. Recher, Phys. Rev. B 106, 075305 (2022).
• [4] L. Bittermann, F. Dominguez, P. Recher, Phys. Rev. B 110, 045429 (2024) (Editors’ suggestion).