Low-energy theory of transport in Majorana wire junctions

Abstract

We formulate and apply a low-energy transport theory for hybrid quantum devices containing junctions of topological superconductor (TS) wires and conventional normal (N) or superconducting (S) leads. We model TS wires as spinless $p$-wave superconductors and derive their boundary Keldysh Green's function, capturing both the Majorana end state and continuum quasiparticle excitations in a unified manner. We also specify this Green's function for a finite-length TS wire. Junctions connecting different parts of the device are described by the standard tunneling Hamiltonian. Using this Hamiltonian approach, one also has the option to include many-body interactions in a systematic manner. For N-TS junctions, we provide the current-voltage ($I$-$V$) characteristics at arbitrary junction transparency and give exact results for the shot noise power and the excess current. For TS-TS junctions, analytical results for the thermal noise spectrum and for the $I$-$V$ curve in the high-transparency low-bias regime are presented. For S-TS junctions, we compute the entire $I$-$V$ curve and clarify the conditions for having a finite Josephson current.

16 pages, 4 figures, published version (presentation improved, one subsection added)

References in corpus (20)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Exponential Protection of Zero Modes in Majorana Islands
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• End states and subgap structure in proximity-coupled chains of magnetic adatoms
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Topological Kondo effect with Majorana fermions
• Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
• Microwave signatures of Majorana states in a topological Josephson junction
• Robust Majorana conductance peaks for a superconducting lead
• Supercurrent blockade in Josephson junctions with a Majorana wire
• Superconducting transport through a vibrating molecule
• Quench dynamics of fermion-parity switches in a Josephson junction
• Josephson current between topological and conventional superconductors
• Transport properties of hybrid topological superconductor devices in contact with an environment

Cited by in corpus (77)

• Quantized Majorana conductance
• Scaling of Majorana Zero-Bias Conductance Peaks
• Boundary Green functions of topological insulators and superconductors
• Signatures of topological Josephson junctions
• Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems
• Conduction Channels of an InAs-Al nanowire Josephson weak link
• Tomography of Majorana Fermions with STM Tips
• Giant shot noise from Majorana zero modes in topological trijunctions
• The Majorana STM as a perfect detector of odd-frequency superconductivity
• Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
• Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires
• Josephson effect in multiterminal topological junctions
• Two-dimensional Dirac particles in a Pöschl-Teller waveguide
• Driven Dissipative Majorana Dark Spaces
• Transport signatures of topological superconductivity in a proximity-coupled nanowire
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• Boundary Green's function approach for spinful single-channel and multichannel Majorana nanowires
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Odd-frequency superconducting pairing in Kitaev-based junctions
• Towards dark space stabilization and manipulation in driven dissipative Majorana platforms
• All-electrical generation and control of odd-frequency s-wave Cooper pairs in double quantum dots
• Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot
• Conductance spectroscopy of nontopological-topological superconductor junctions
• Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
• Andreev reflection in s-type superconductor proximized 3D topological insulator
• Fingerprints of Majorana fermions in current-correlations measurements from a superconducting tunnel microscope
• Dynamics of hybrid junctions of Majorana wires
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Transport in superconductor--normal metal--superconductor tunneling structures: Spinful p-wave and spin-orbit-coupled topological wires
• Majorana differential shot noise and its universal thermoelectric crossover
• Josephson effect in junctions of conventional and topological superconductors
• Time scales for charge-transfer based operations on Majorana systems
• Single-electron charge transfer into putative Majorana and trivial modes in individual vortices
• $6\pi$ Josephson effect in Majorana box devices
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Role of dephasing on the conductance signatures of Majorana zero modes
• Hanbury Brown and Twiss noise correlations in a topological superconductor beam splitter
• Analytic approach to transport in superconducting junctions with arbitrary carrier density
• Nonequilibrium electrical, thermal and spin transport in open quantum systems of topological superconductors, semiconductors and metals
• Finite frequency noise in a normal metal - topological superconductor junction
• Fermi liquid approach for superconducting Kondo problems
• Transport and spectral properties of magic angle twisted bilayer graphene junctions based on local orbital models
• Interplay between Majorana and Shiba states in a minimal Kitaev chain coupled to a superconductor
• Tomography of zero-energy end modes in topological superconducting wires
• Probing Majorana zero modes by measuring transport through an interacting magnetic impurity
• Temperature Induced Shifts of Yu-Shiba-Rusinov Resonances in Nanowire-Based Hybrid Quantum Dots
• Guided modes and terahertz transitions for two-dimensional Dirac fermions in a smooth double-well potential
• The influence of the Majorana non-locality on the supercurrent
• Phase diagram of a model for topological superconducting wires
• Analytical results for Green's functions of lattice fermions
• Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
• Statistical Majorana Bound State Spectroscopy
• Intrinsic non-magnetic ${\varphi }_0$ Josephson junctions in twisted bilayer graphene
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• Majorana-mediated thermoelectric transport in multiterminal junctions
• Thermoelectric processes of quantum normal-superconductor interfaces
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• 2D topological matter from a boundary Green's functions perspective: Faddeev-LeVerrier algorithm implementation
• Analytical and semianalytical tools to determine the topological character of Shiba chains
• Nonequilibrium Fractional Josephson Effect
• Josephson current via an isolated Majorana zero mode
• Universal properties of boundary and interface charges in multichannel one-dimensional models without symmetry constraints
• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
• Phase-tunable multiple Andreev reflections in a quantum spin Hall strip
• Transport signatures of inverted Andreev bands in topological Josephson junctions
• Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
• Screening cloud and non-Fermi-liquid scattering in topological Kondo devices
• Universal properties of boundary and interface charges in multichannel one-dimensional continuum models
• Characterizing local Majorana properties using Andreev states
• Thermoelectric fluctuations of interfering Majorana bound states
• Super-Poissonian noise from quasiparticle poisoning in electron transport through a pair of Majorana bound states
• Unified scattering approach to Josephson current and thermal noise in BCS and topological superconducting junctions
• Exact lattice-model calculation of boundary modes for Weyl semimetals and graphene
• Optimal Majoranas in Mesoscopic Kitaev Chains
• Fractional spin Josephson effect in topological spin superconductors
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases