Current Correlations in a Majorana Beam Splitter

Abstract

We study current correlations in a $T$-junction composed of a grounded topological superconductor and of two normal-metal leads which are biased at a voltage $V$. We show that the existence of an isolated Majorana zero mode in the junction dictates a universal behavior for the cross correlation of the currents through the two normal-metal leads of the junction. The cross correlation is negative and approaches zero at high bias voltages as -1/$V$. This behavior is robust in the presence of disorder and multiple transverse channels, and persists at finite temperatures. In contrast, an accidental low-energy Andreev bound state gives rise to nonuniversal behavior of the cross correlation. We employ numerical transport simulations to corroborate our conclusions.

Published version, 8 pages

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Cited by in corpus (31)

• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Majorana bound states in non-homogeneous semiconductor nanowires
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Theory of Majorana zero modes in unconventional superconductors
• Weak measurement protocols for Majorana bound state identification
• Giant shot noise from Majorana zero modes in topological trijunctions
• Universal Majorana thermoelectric noise
• Fingerprints of Majorana bound states in Aharonov Bohm geometry
• Topological superconductivity and Majorana states in low-dimensional systems
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Dynamic Majorana resonances and universal symmetry of nonequilibrium thermoelectric quantum noise
• Interaction-driven topological superconductivity in one dimension
• Majorana finite frequency nonequilibrium quantum noise
• Nonequilibrium Majorana fluctuations
• Majorana entropy revival via tunneling phases
• Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model
• Fingerprints of Majorana fermions in current-correlations measurements from a superconducting tunnel microscope
• Majorana differential shot noise and its universal thermoelectric crossover
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• Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
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• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Quantum charge pumping through Majorana bound states
• Thermoelectric fluctuations of interfering Majorana bound states
• Shot noise in NS junctions with Weyl superconductor
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
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• Quantum theory for edge current and noise in two-dimensional topological superconductors