Proposal for measuring the parity anomaly in a topological superconductor ring

Abstract

A topological superconductor ring is uniquely characterized by a switch in the ground state fermion number parity upon insertion of one superconducting flux quantum - a direct consequence of the topological `parity anomaly.' Despite the many other tantalizing signatures and applications of topological superconductors, this fundamental, defining property remains to be observed experimentally. Here we propose definitive detection of the fermion parity switch from the charging energy, temperature, and tunnel barrier dependence of the flux periodicity of two-terminal conductance of a floating superconductor ring. We extend the Ambegaokar-Eckern-Sch{ö}n formalism for superconductors with a Coulomb charging energy to establish new explicit relationships between thermodynamic and transport properties of such a ring and the topological invariant of the superconductor. Crucially, we show that the topological contribution to the conductance oscillations can be isolated from Aharonov-Bohm oscillations of non-topological origin by their different dependence on the charging energy or barrier transparency.

11 pages, 3 figures

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Cited by in corpus (9)

• Next steps of quantum transport in Majorana nanowire devices
• Majorana nanowires for topological quantum computation
• Magnetic Flux Periodicity in Second Order Topological Superconductors
• Long distance coherence of Majorana wires
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Capacitance-based Fermion parity read-out and predicted Rabi oscillations in a Majorana nanowire
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Fingerprints of Majorana bound states in quantum-rings
• Honing in on a topological zero-bias conductance peak