Transconductance as a probe of nonlocality of Majorana fermions

Abstract

Each end of a Kitaev chain in topological phase hosts a Majorana fermion. Zero bias conductance peak is an evidence of Majorana fermion when the two Majorana fermions are decoupled. These two Majorana fermions are separated in space and this nonlocal aspect can be probed when the two are coupled. Crossed Andreev reflection is the evidence of the nonlocality of Majorana fermions. Nonlocality of Majorana fermions has been proposed to be probed by noise measurements since simple conductance measurements cannot probe it due to the almost cancellation of currents from electron tunneling and crossed Andreev reflection. Kitaev ladders on the other hand host subgap Andreev states which can be used to control the relative currents due to crossed Andreev reflection and electron tunneling. We propose to employ Kitaev ladder in series with Kitaev chain and show that the transconductance in this setup can be used as a probe of nonlocality of Majorana fermions by enhancing crossed Andreev reflection over electron tunneling.

6 pages, 6 captioned figures. Minor typos corrected. This is published version

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Reversing non-local transport through a superconductor by electromagnetic excitations
• Enhancement of crossed Andreev reflection in a Kitaev ladder connected to normal metal leads

Cited by in corpus (13)

• Crossed Andreev reflection in altermagnets
• Crossed Andreev reflection in collinear $p$-wave magnet/triplet superconductor junctions
• Finite transverse conductance and anisotropic magnetoconductance under an applied in-plane magnetic field in two-dimensional electron gases with strong spin-orbit coupling
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Josephson diode effect in one-dimensional quantum wires connected to superconductors with mixed singlet-triplet pairing
• Fabry-Pérot interference in Josephson junctions
• Probing nonlocality of Majorana fermions in Josephson junctions of Kitaev chains connected to normal metal leads
• Transverse currents in spin transistors
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Transport in a long-range Kitaev ladder: role of Majorana and subgap Andreev states
• Majorana fermions in Kitaev chains side-coupled to normal metals
• Multi-locational Majorana Zero Modes
• Decoherence in electron transport: back-scattering, effect on interference and rectification