Signatures of Majorana Fermions in Topological Insulator Josephson Junction Devices

Abstract

We study theoretically the electrical current and low-frequency noise for a linear Josephson junction structure on a topological insulator, in which the superconductor forms a closed ring and currents are injected from normal regions inside and outside the ring. We find that this geometry offers a signature for the presence of gapless 1D Majorana fermion modes that are predicted in the channel when the phase difference ϕ, controlled by the magnetic flux through the ring, is π. We show that for low temperature the linear conductance jumps when ϕ passes through π, accompanied by non-local correlations between the currents from the inside and outside of the ring. We compute the dependence of these features on temperature, voltage and linear dimensions, and discuss the implications for experiments.

11 pages, 5 figures

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Cited by in corpus (12)

• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators
• Majorana-Josephson Interferometer
• Probing Fermi sea topology by Andreev state transport
• Magnetic Flux Control of Chiral Majorana Edge Modes in Topological Superconductor
• Topological Andreev Rectification
• Absence of Aharonov-Bohm effect of chiral Majorana fermion edge states
• Two-impurity helical Majorana problem
• Protected gap closing in Josephson junctions constructed on Bi${}_2$Te${}_3$ surface
• The Andreev crossed reflection -a Majorana path integral approach
• Boundary-induced Majorana coupling in a planar topological Josephson junction
• Majorana fermions in a superconducting Mobius strip