Electrically detected interferometry of Majorana fermions in a topological insulator

Abstract

We show how a chiral Dirac fermion (a massless electron or hole) can be converted into a pair of neutral chiral Majorana fermions (a particle equal to its own antiparticle). These two types of fermions exist on the metallic surface of a topological insulator, respectively, at a magnetic domain wall and at a magnet-superconductor interface. Interferometry of Majorana fermions is a key operation in topological quantum computation, but the detection is problematic since these particles have no charge. The Dirac-Majorana converter enables electrical detection of the interferometric signal.

arXiv comment4 pages, 2 figures

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• Implementation of single-qubit gates via parametric modulation in the Majorana transmon
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• Controllable Majorana fermions on domain walls of a magnetic topological insulator
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• Identifying Majorana bound states at quantum spin Hall edges using a metallic probe
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• Electron transport in a ferromagnetic/normal/ferromagnetic tunnel junction based on the surface of a topological insulator
• Tunable Majorana corner modes by orbital-dependent exchange interaction in a two-dimensional topological superconductor
• Gate Tunable Supercurrent in Josephson Junctions Based on Bi2Te3 Topological Insulator Thin Films
• Charge-impurity-induced Majorana fermions in topological superconductors
• Transport in a thin topological insulator with potential and magnetic barriers
• Tuning Majorana zero modes with temperature in $\pi$-phase Josephson junctions
• Study on the tunneling spectroscopy of $N-pS$ junction and $N-hS$ junction
• Bilinear planar Hall effect in topological insulators due to spin-momentum locking inhomogeneity
• Maximal distant entanglement in Kitaev tube
• Non-centrosymmetric superconductors on honeycomb lattice
• Theory of Josephson Current on a Magnetically Doped Topological Insulator
• Detecting non-Abelian statistics of Majorana fermions in quantum nanowire networks
• Direct visualization of quasiparticle concentration around superconducting vortices
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• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
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• Current Density of Majorana Bound States
• Disorder-induced topological superconductivity in a spherical quantum-Hall--superconductor hybrid
• Phase-tunable multiple Andreev reflections in a quantum spin Hall strip
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Tunneling between helical Majorana modes and helical Luttinger liquids
• Twofold twist defect chains at criticality
• First observation of spin-helical Dirac fermions and topological phases in undoped and doped Bi2Te3 demonstrated by spin-ARPES spectroscopy
• Chirality-selective proximity effect between chiral $p$-wave superconductors and quantum Hall insulators
• Universal Current Correlations Induced by the Majorana and Fermionic Andreev Bound States
• Chiral Majorana edge states in the vortex core of a $p+ip$ Fermi superfluid
• Assessing bound states in a one-dimensional topological superconductor: Majorana versus Tamm
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• RF compressibility of topological surface and interface states in metal-hBN-Bi2Se3 capacitors
• Majorana edge states and topological properties in 1D/2D Rashba semiconductor proximity coupled to iron-based superconductor
• Engineering Majorana corner modes from two-dimensional hexagonal crystals
• Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes
• Gate-Tunable Ambipolar Josephson Current in a Topological Insulator
• Possible Chiral Topological Superconductivity in CrO${}_2$ bilayers
• Confinement-induced Majorana modes in a nodal topological superconductor
• Twisted Interferometry
• A non-perturbative expression for the transmission through a leaky chiral edge mode
• Twisted Interferometry: the topological perspective
• Edge optical effect as a probe of chiral topological superconductors
• Optical absorption of semiconductor 2D Majorana nanowires
• Measuring the Spin Polarization of a Ferromagnet: an Application of Time-Reversal Invariant Topological Superconductor
• Coulomb blockade of chiral Majorana and complex fermions far from equilibrium
• A semi-classical analysis of Dirac fermions in 2+1 dimensions
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
• Emergence of triplet orbital pairing and non-Abelian states in ultracold multi-orbital optical lattices with quadratic band touching
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
• Highly skewed current-phase relation in superconductor-topological insulator-superconductor Josephson junctions
• Piecewise-terminated spherical topological insulator as a virtual breadboard for Majorana circuitry
• Magnetic orbital motion and 0.5$e^2/h$ conductance of quantum-anomalous-Hall hybrid strips
• Interacting 1D Chiral Fermions with Pairing: Transition from Integrable to Chaotic
• Shot noise from which-path detection in a chiral Majorana interferometer
• Weak localization effect in topological insulator micro flakes grown on insulating ferrimagnet BaFe12O19
• Revealing Superconducting Chiral Edge Modes via Resistance Distributions
• Detecting and Distinguishing Majorana Zero Modes with the Scanning Tunneling Microscope