Parafermionic generalization of the topological Kondo effect
arXiv:1804.05606 · doi:10.1103/PhysRevB.97.235139
Abstract
We propose and study a parafermionic generalization of the topological Kondo effect. The latter has been predicted to arise for a Coulomb-blockaded mesoscopic topological superconductor (Majorana box), where at least three normal leads are tunnel-coupled to different Majorana zero modes on the box. The Majorana states represent a quantum impurity spin that is partially screened due to cotunneling processes between leads, with a stable non-Fermi liquid ground state. Our theory studies a generalization where (i) Majorana states are replaced by topologically protected parafermionic zero modes, (ii) charging effects again define a spin-like quantum impurity on the resulting parafermion box, and (iii) normal leads are substituted by fractional edge states. In this multi-terminal problem, different fractional edge leads couple only via the parafermion box. We show that although the linear conductance tensor exhibits similar behavior as in the Majorana case, both at weak and strong coupling, our parafermionic generalization is actually not a Kondo problem but defines a rich new class of quantum impurity problems. At the strong-coupling fixed point, a current injected through a reference lead will be isotropically partitioned into outgoing currents in all other leads, together with a universal negative current scattered into the reference lead. The device can thus be operated as current extractor, where the current partitioning is noiseless at the fixed point. We describe a fractional quantum Hall setup proximitized by superconductors and ferromagnets, which could allow for an experimental realization in the near future.
arXiv comment14 pages, 2 figures
References in corpus (80)
- Non-Abelian Anyons and Topological Quantum Computation
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- New directions in the pursuit of Majorana fermions in solid state systems
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Search for Majorana fermions in superconductors
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Bosonization and Strongly Correlated Systems
- Observation of the fractional ac Josephson effect: the signature of Majorana particles
- Majorana Zero Modes and Topological Quantum Computation
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
- Introduction to topological superconductivity and Majorana fermions
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
- Milestones toward Majorana-based quantum computing
- Scaling of Majorana Zero-Bias Conductance Peaks
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Exotic non-Abelian anyons from conventional fractional quantum Hall states
- Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Topological phases with parafermions: theory and blueprints
- Majorana box qubits
- Epitaxy of Advanced Nanowire Quantum Devices
- Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
- Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
- High-resolution studies of the Majorana atomic chain platform
- Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
- Ballistic superconductivity in semiconductor nanowires
- Topological Kondo effect with Majorana fermions
- Inducing Superconducting Correlation in Quantum Hall Edge States
- Fractional topological superconductors with fractionalized Majorana fermions
- Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
- Junctions of three quantum wires
- Time-Reversal-Invariant Fractional Josephson Effect
- Junctions of three quantum wires and the dissipative Hofstadter model
- Towards realistic implementations of a Majorana surface code
- Hard superconducting gap in InSb nanowires
- Roadmap to Majorana surface codes
- Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
- Transport signatures of quasiparticle poisoning in a Majorana island
- Multi-Terminal Coulomb-Majorana Junction
- Parafermions in Interacting Nanowire Bundle
- Majorana-Klein hybridization in topological superconductor junctions
- Majorana single-charge transistor
- Coulomb blockade of Majorana fermion induced transport
- Exotic circuit elements from zero-modes in hybrid superconductor/quantum Hall systems
- Multi-channel Kondo impurity dynamics in a Majorana device
- Transport in a disordered fractional quantum Hall junction
- Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
- Synthetic Topological Qubits in Conventional Bilayer Quantum Hall Systems
- A junction of three quantum wires: restoring time-reversal symmetry by interaction
- Landauer-type transport theory for interacting quantum wires: Application to carbon nanotube Y junctions
- Realization of 2-channel Kondo effect in a junction of three quantum Ising chains
- Junctions of anyonic Luttinger wires
- Quantum spins on star graphs and the Kondo model
- Junctions of three quantum wires for spin 1/2 electrons
- Conductance fingerprint of Majorana fermions in the topological Kondo effect
- Resonant tunneling and the multichannel Kondo problem: the quantum Brownian motion description
- Y-junction of superconducting Josephson chains
- Topological phases in two-dimensional arrays of parafermionic zero modes
- Enhancement of tunneling density of states at a junction of three Luttinger liquid wires
- Transport properties of the Coulomb-Majorana junction
- Inter-edge interactions and novel fixed points at a junction of quantum Hall line junctions
- General method for calculating the universal conductance of strongly correlated junctions of multiple quantum wires
- Designer non-Abelian anyon platforms: from Majorana to Fibonacci
- Fractional Josephson Effect in Number-Conserving Systems
- Robust integer and fractional helical modes in the quantum Hall effect
- Thermodynamics of the Topological Kondo Model
- Parafermion supporting platform based on spin transitions in the fractional quantum Hall effect regime
- Measurement and control of a Coulomb-blockaded parafermion box
- Free-fermion descriptions of parafermion chains and string-net models
- Formalism for the solution of quadratic Hamiltonians with large cosine terms
- Josephson effect in Majorana box devices
- Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit
- Coulomb Blockade in Fractional Topological Superconductors
- Intermediate fixed point in a Luttinger liquid with elastic and dissipative backscattering
- Projective symmetry group classification of parafermion spin liquids on a honeycomb lattice
Cited by in corpus (14)
- Superconductivity and fermionic dissipation in quantum Hall edges
- Thermoelectric Transport in a Three-Channel Charge Kondo Circuit
- Parafermion braiding in fractional quantum Hall edge states with finite chemical potential
- Readout of parafermionic states by transport measurements
- Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
- Parafermions in a multilegged geometry: Towards a scalable parafermionic network
- Topological symplectic Kondo effect
- Multichannel topological Kondo effect
- Signatures of topological ground state degeneracy in Majorana islands
- Dynamics of parafermionic states in transport measurements
- Embedded Majorana Islands
- Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
- Quantum computation with hybrid parafermion-spin qubits
- Phases of Quasi-One-Dimensional Fractional Quantum (Anomalous) Hall - Superconductor Heterostructures