Scattering theory of chiral Majorana fermion interferometry

Abstract

Using scattering theory, we investigate interferometers composed of chiral Majorana fermion modes coupled to normal metal leads. We advance an approach in which also the basis states in the normal leads are written in terms of Majorana modes. Thus each pair of electron-hole states is associated with a pair of Majorana modes. Only one lead Majorana mode couples to the intrinsic Majorana mode whereas its partner is completely reflected. Similarly the remaining Majorana modes are completely reflected but in general mix pair-wise. We demonstrate that the charge current can also be expressed in terms of interference between pairs of Majorana modes. These two basic facts permit a treatment and understanding of current and noise signatures of chiral Majorana fermion interferometry in an especially elegant way. As a particular example of applications, in Fabry-Perot-type interferometers where chiral Majorana modes form loops, resonances (anti-resonances) from such loops always lead to peaked (suppressed) Andreev differential conductances, and negative (positive) cross-correlations that originate purely from two-Majorana-fermion exchange. These investigations are intimately related to current and noise signatures of Majorana bound states.

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Cited by in corpus (36)

• Majorana Fermions and Topology in Superconductors
• Annihilation of colliding Bogoliubov quasiparticles reveals their Majorana nature
• Robust Transport Signatures of Topological Superconductivity in Topological Insulator Nanowires
• Detection of Majorana Kramers pairs using a quantum point contact
• Electron transport in multiterminal networks of Majorana bound states
• Thermopower and the Mott formula for a Majorana edge state
• Higher-order Fabry-Pérot Interferometer from Topological Hinge States
• Thermoelectric transport in junctions of Majorana and Dirac channels
• Electron waiting times for the mesoscopic capacitor
• Majorana-Josephson Interferometer
• Transport through Majorana nanowires attached to normal leads
• Majorana modes and complex band structure of quantum wires
• Signatures of Majorana Fermions in Topological Insulator Josephson Junction Devices
• Signatures of Majorana fermions in hybrid normal-superconducting rings
• Adiabatic quantum pumping of chiral Majorana fermions
• Phase-locked magnetoconductance oscillations as a probe of Majorana edge states
• Chiral Majorana Interference as a Source of Quantum Entanglement
• Size Constraints on Majorana Beamsplitter Interferometer: Majorana Coupling and Surface-Bulk Scattering
• Current-phase relation and $h/e$-periodic critical current of a chiral Josephson contact between 1D Majorana modes
• Aharonov-Bohm Effect in Three-dimensional Higher-order Topological Insulator
• Absence of Aharonov-Bohm effect of chiral Majorana fermion edge states
• Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor
• Excess equilibrium noise in topological SNS junction between chiral Majorana liquids
• Fraunhofer pattern in the presence of Majorana zero modes
• Nonlocality and dynamic response of Majorana states in fermionic superfluids
• Full counting statistics of Majorana interferometers
• Photonic cross-noise spectroscopy of Majorana bound states
• Signatures of tunable Majorana-fermion edge states
• Effect of a tunnel barrier on the scattering from a Majorana bound state in an Andreev billiard
• The Andreev crossed reflection -a Majorana path integral approach
• Tunneling between helical Majorana modes and helical Luttinger liquids
• Microwave response of a chiral Majorana interferometer
• Boundary-induced Majorana coupling in a planar topological Josephson junction
• Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes
• Coulomb blockade of chiral Majorana and complex fermions far from equilibrium
• Shot noise from which-path detection in a chiral Majorana interferometer