Majorana Fermion Induced Non-local Current Correlations in Spin-orbit Coupled Superconducting Wires

Abstract

Recent observation of zero bias conductance peaks in semiconductor wire/superconductor heterostructures has generated great interest, and there is a hot debate on whether the observation is associated with Majorana fermions (MFs). Here we study the local and crossed Andreev reflections in a junction of two normal leads and a sandwiched superconductor-semiconductor wire with two spatially separated but strongly coupled MF end states. The conductance and Fano factors of such a device are sharply different from the topologically trivial case even in the presence of disorder, and can hence be used to identify MFs unambiguously.

7+ pages, 10 figures

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• Selective Equal-Spin Andreev Reflections Induced by Majorana Fermions
• Signature of a pair of Majorana zero modes in superconducting gold surface states
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Majorana zero modes on a necklace
• Correlated spin currents generated by resonant crossed Andreev reflections in topological superconductors
• Odd-Frequency Triplet Superconductivity at the Helical Edge of a Toplogical Insulator
• Majorana Fermions and Multiple Topological Phase Transition in Kitaev Ladder Topological Superconductors
• Direct cavity detection of Majorana pairs
• Giant shot noise from Majorana zero modes in topological trijunctions
• Non-locality of zero-bias anomalies in the topologically-trivial phase of Majorana wires
• Current Correlations in a Majorana Beam Splitter
• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Current noise cross correlation mediated by Majorana bound states
• Tunneling transport in NSN junctions made of Majorana nanowires across the topological quantum phase transition
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• A Proposal to Measure the Quasiparticle Poisoning Time of Majorana Bound States
• Enhanced spin-orbit coupling in a heavy metal via molecular coupling
• Finite-frequency noise in a topological superconducting wire
• Parametric exploration of zero-energy modes in three-terminal InSb-Al nanowire devices
• Majorana-assisted nonlocal electron transport through a floating topological superconductor
• Enhanced current noise correlations in a Coulomb-Majorana device
• Quench Dynamics of Josephson Current in a Topological Josephson Junction
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Topological superconductivity in EuS/Au/superconductor heterostructures
• Single-electron charge transfer into putative Majorana and trivial modes in individual vortices
• Non-collinear Andreev reflections in semiconductor nanowires
• Transconductance as a probe of nonlocality of Majorana fermions
• Identify the topological superconducting order in a multi-band quantum wire
• Signature of a topological phase transition in long SN junctions in the spin-polarized density of states
• Demonstrating Entanglement by Testing Bell's Theorem in Majorana Wires
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Probing nonlocality of Majorana fermions in Josephson junctions of Kitaev chains connected to normal metal leads
• Nonlocal correlations transmitted between quantum dots via short topological superconductor
• Topological phases and Majorana states in screened interacting quantum wires
• Universal Current Correlations Induced by the Majorana and Fermionic Andreev Bound States
• Multi-locational Majorana Zero Modes
• Cross correlation mediated by distant Majorana zero modes with no overlap
• Shot noise in a phenomenological model of a marginal Fermi liquid
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
• Cross-correlation mediated by Majorana island with finite charging energy