Detecting Majorana nonlocality using strongly coupled Majorana bound states

Abstract

Majorana bound states (MBS) differ from the regular zero energy Andreev bound states in their nonlocal properties, since two MBS form a single fermion. We design strategies for detection of this nonlocality by using the phenomenon of Coulomb-mediated Majorana coupling in a simplest setting which still retains falsifiability. Focusing on the implementation of MBS based on the quantum spin Hall effect, we also design a way to probe Majoranas without the need to open a magnetic gap in the helical edge states. In the setup that we analyse, long range MBS coupling manifests in the $h/e$ magnetic flux periodicity of tunneling conductance and supercurrent. While $h/e$ is also the periodicity of Aharonov-Bohm effect and persistent current, we show how to ensure its Majorana origin by verifying that switching off the charging energy restores $h/2e$ periodicity conventional for superconducting systems.

arXiv comment6 pages, 3 figures

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Cited by in corpus (14)

• Nonlocality of Majorana Modes in Hybrid Nanowires
• Distinguishing Majorana bound states from localized Andreev bound states by interferometry
• Weak measurement protocols for Majorana bound state identification
• Fractional Josephson Effect with and without Majorana Zero Modes
• Coupling and braiding Majorana bound states in networks defined in proximitized two-dimensional electron gases
• Conductance interference in a superconducting Coulomb blockaded Majorana ring
• Probing Majorana and Andreev Bound States with Waiting Times
• Ubiquitous non-local entanglement with Majorana bound states
• Magnetic Flux Periodicity in Second Order Topological Superconductors
• Proposal for measuring the parity anomaly in a topological superconductor ring
• Majorana excitons in a Kitaev chain of semiconductor quantum dots in a nanowire
• Topologically protected heat pumping from braiding Majorana zero modes
• Distinguishing Majorana bound states and Andreev bound states with microwave spectra
• Detecting Majorana modes through Josephson junction ring-quantum dot hybrid architectures