Transport properties of Majorana bound states networks in the Coulomb blockade regime

Abstract

Topologically protected qubits based on nanostructures hosting Majorana bound states (MBSs) hold great promise for fault-tolerant quantum computing. We study the transport properties of nanowire networks hosting MBSs with a focus on the effects of the charging energy and the overlap between neighboring MBSs in short mesoscopic samples. In particular, we investigate structures hosting four MBSs such as T-junctions and Majorana boxes. Using a master equation in the Markovian approximation, we discuss the leading transport processes mediated by the MBSs. Single-electron tunneling and processes involving creation and annihilation of Cooper pairs dominate in the sequential tunneling limit. In the cotunneling regime the charge in the MBSs network is fixed and transport is governed by transitions via virtual intermediate states. Our results show that four-terminal measurements in the T-junction and Majorana box geometries can be useful tools for the characterization of the properties of MBSs with finite overlaps and charging energy.

14 pages, 12 figures

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Cited by in corpus (7)

• Evidence for spin-polarized bound states in semiconductor-superconductor-ferromagnetic insulator islands
• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
• Full counting statistics in a Majorana single-charge transistor
• Majorana Zero Modes in Cylindrical Semiconductor Quantum Wire
• Cross-correlation mediated by Majorana island with finite charging energy