Transport properties of the Coulomb–Majorana junction

  title={Transport properties of the Coulomb–Majorana junction},
  author={A. L. Zazunov and Alexander Altland and Reinhold Egger},
  journal={New Journal of Physics},
We provide a comprehensive theoretical description of low-energy quantum transport for a Coulomb–Majorana junction, where several helical Luttinger liquid nanowires are coupled to a joint mesoscopic superconductor with finite charging energy. Including the Majorana bound states formed near the ends of superconducting wire parts, we derive and analyze the Keldysh phase action describing non-equilibrium charge transport properties of the junction. The low-energy physics corresponds to a two… 
Non-Fermi-liquid manifold in a Majorana device.
A nontrivial interplay between multichannel Kondo and resonant Andreev reflection processes, which results in the fixed point manifold, is found.
Kondo physics from quasiparticle poisoning in Majorana devices
Here, we present a theoretical analysis of quasiparticle poisoning in Coulomb-blockaded Majorana fermion systems tunnel-coupled to normal-conducting leads. Taking into account finite-energy
Charge Fractionalization in the Two-Channel Kondo Effect.
It is elucidated that precisely such an unusual effect may occur in the simplest possible non-Fermi liquid, the two-channel Kondo effect, and elementary transport processes of emergent fermions carrying half-integer charge are identified.
Topological Kondo Effect
We review recent theoretical progress in the understanding of the topological Kondo effect in Coulomb-blockaded Majorana devices and generalizations thereof. The central ingredient in Majorana
Emerging Majorana Modes in Junctions of One-Dimensional Spin Systems
The non-local effects induced by Majorana fermions in field theories for condensed matter systems are deeply related to the fermion charge fractionalization discovered by Roman Jackiw in relativistic
Multichannel charge Kondo effect and non-Fermi-liquid fixed points in conventional and topological superconductor islands
We study multiterminal Majorana and conventional superconducting islands in the vicinity of the charge degeneracy point using bosonization and numerical renormalization group. Both models map to the
Transport across a system with three p-wave superconducting wires: effects of Majorana modes and interactions
We study the effects of Majorana modes and interactions between electrons on transport in a one-dimensional system with a junction of three p-wave superconductors (SCs) which are connected to normal
Multichannel Kondo impurity dynamics in a Majorana device.
The topological protection of the system raises the perspective to observe multichannel Kondo impurity dynamics in experimentally realistic environments and explores the spin dynamics and its observable ramifications near the low-temperature fixed point.
Tunable spin/charge Kondo effect at a double superconducting island connected to two spinless quantum wires
We propose that a pertinently engineered double superconducting island connected to two spinless one-dimensional conducting leads can work as a tunable (iso)spin Kondo and charge Kondo system, with


Majorana-Klein hybridization in topological superconductor junctions.
  • B. Béri
  • Physics
    Physical review letters
  • 2013
A powerful and general approach to describe the coupling of Majorana fermions to external leads, of interacting or noninteracting electrons, is presented, analyzing a highly nontrivial SO(M) Kondo problem arising in topological superconductors with M Majorana-lead couplings, allowing for arbitrary M and for conduction electron interactions.
Majorana single-charge transistor.
Coulomb oscillations with universal halving of the finite-temperature peak conductance under strong blockade conditions are found, where the valley conductance mainly comes from elastic cotunneling.
Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
We show how to exchange (braid) Majorana fermions in a network of superconducting nanowires by control over Coulomb interactions rather than tunneling. Even though Majorana fermions are
Multiterminal Coulomb-Majorana junction.
It is shown that a weak finite charging energy of the center island may dramatically affect the low-energy behavior of the system, and the ideally Andreev reflecting fixed point characteristic for infinite capacitance (grounded) devices gets destabilized by interactions.
Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures.
The measurement of the supercurrent through the junction allows one to discern topologically distinct phases and observe a topological phase transition by simply changing the in-plane magnetic field or the gate voltage, which will be a direct demonstration of the existence of Majorana particles.
Transport properties of topological superconductor-Luttinger liquid junctions: A real-time Keldysh approach
Inspired by a recent experimental observation of the zero-bias tunneling conductance in superconductor-semiconductor nanowire devices, we consider here transport properties of the junctions
Helical liquids and Majorana bound states in quantum wires.
It is argued that zero-energy Majorana bound states are formed in various situations when such wires are situated in proximity to a conventional s-wave superconductor when the external magnetic field, the superconducting gap, or the chemical potential vary along the wire.
Junctions of three quantum wires
We study a junction of three quantum wires enclosing a magnetic flux. The wires are modelled as single-channel spinless Tomonaga–Luttinger liquids. This is the simplest problem of a quantum junction
Electron teleportation via Majorana bound states in a mesoscopic superconductor.
  • L. Fu
  • Physics
    Physical review letters
  • 2010
This work predicts a striking nonlocal phase-coherent electron transfer process by virtue of tunneling in and out of a pair of Majorana bound states in a superconductor-quantum-spin-Hall- insulator-magnetic-insulator hybrid system.
Tunneling characteristics of a chain of Majorana bound states
We consider theoretically tunneling characteristic of a junction between a normal metal and a chain of coupled Majorana bound states generated at crossings between topological and non-topological