$6\pi$ Josephson effect in Majorana box devices

Abstract

We study Majorana devices featuring a competition between superconductivity and multi-channel Kondo physics. Our proposal extends previous work on single-channel Kondo systems to a topologically nontrivial setting of non-Fermi liquid type, where topological superconductor wires (with gap $\Delta$) represent leads tunnel-coupled to a Coulomb-blockaded Majorana box. On the box, a spin degree of freedom with Kondo temperature $T_K$ is nonlocally defined in terms of Majorana states. For $\Delta \gg T_K$, the destruction of Kondo screening by superconductivity implies a $4\pi$-periodic Josephson current-phase relation. Using a strong-coupling analysis in the opposite regime $\Delta \ll T_K$, we find a $6\pi$-periodic Josephson relation for three leads, with critical current $I_c\approx e{\Delta }^2/\hslash T_K$, corresponding to the transfer of fractionalized charges $e^{\ast }=2e/3$.

arXiv comment5 pages, 1 figure + supplementary material (3 pages); final version, accepted to PRL

References in corpus (43)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Search for Majorana fermions in superconductors
• Bosonization and Strongly Correlated Systems
• Exponential Protection of Zero Modes in Majorana Islands
• Introduction to topological superconductivity and Majorana fermions
• Epitaxy of Semiconductor-Superconductor nanowires
• Supercurrent reversal in quantum dots
• Observation of the two-channel Kondo effect
• Josephson and Andreev transport through quantum dots
• Josephson Current through a correlated quantum level: Andreev states and Pi-junction behavior
• Topological Kondo effect with Majorana fermions
• Parity lifetime of bound states in a proximitized semiconductor nanowire
• Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors
• Kinky Behavior in Josephson Junctions
• Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
• Critical Current 0-$\pi$ Transition in Designed Josephson Quantum Dot Junctions
• Josephson current through a single Anderson impurity coupled to BCS leads
• Josephson current through a nanoscale magnetic quantum dot
• Tuning the Josephson current in carbon nanotubes with the Kondo effect
• Pedestrian Approach to the Two-Channel Kondo Model
• Multi-Terminal Coulomb-Majorana Junction
• Low-energy theory of transport in Majorana wire junctions
• Universal Fermi liquid crossover and quantum criticality in a mesoscopic device
• The $\omega$-SQUIPT: phase-engineering of Josephson topological materials
• Majorana-Klein hybridization in topological superconductor junctions
• Multi-channel Kondo impurity dynamics in a Majorana device
• Understanding the Josephson current through a Kondo-correlated quantum dot
• Realization of 2-channel Kondo effect in a junction of three quantum Ising chains
• Manipulating the magnetic state of a carbon nanotube Josephson junction using the superconducting phase
• Quantum spins on star graphs and the Kondo model
• Robust Majorana conductance peaks for a superconducting lead
• Toulouse limit for the overscreened four-channel Kondo problem
• Conductance fingerprint of Majorana fermions in the topological Kondo effect
• Supercurrent blockade in Josephson junctions with a Majorana wire
• Transport properties of the Coulomb-Majorana junction
• Non-Fermi liquid manifold in a Majorana device
• Thermodynamics of the Topological Kondo Model
• From four- to two-channel Kondo effect in junctions of XY spin chains
• Holographic optical traps for atom-based topological Kondo devices
• Conductance spectroscopy of nontopological-topological superconductor junctions
• Josephson current between topological and conventional superconductors
• Junction of three off-critical quantum Ising chains and two-channel Kondo effect in a superconductor

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• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Non-Fermi-liquid behavior in quantum impurity models with superconducting channels
• Fermi liquid approach for superconducting Kondo problems
• Transport properties of Majorana bound states networks in the Coulomb blockade regime
• Quantum transport in coupled Majorana box systems
• Screening cloud and non-Fermi-liquid scattering in topological Kondo devices
• Non-Abelian Evolution of a Majorana Train in a Single Josephson Junction
• Spin and thermal current scaling at a $Y$-junction of XX spin chains