Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model

Abstract

Non-Abelian anyons are fractional excitations of gapped topological models believed to describe certain topological superconductors or quantum Hall states. Here, we provide the first numerical evidence that they emerge as independent entities also in gapless electronic models. Starting from a multi-impurity multichannel chiral Kondo model, we introduce a novel mapping to a single-impurity model, amenable to Wilson's numerical renormalization group. We extract its spectral degeneracy structure and fractional entropy, and calculate the $F$ matrices, which encode the topological information regarding braiding of anyons, directly from impurity spin-spin correlations. Impressive recent advances on realizing multichannel Kondo systems with chiral edges may thus bring anyons into reality sooner than expected.

arXiv comment5 pages, 3 figures + Supplemental material - published version

References in corpus (30)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• The numerical renormalization group method for quantum impurity systems
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Observation of the two-channel Kondo effect
• Measurement-Only Topological Quantum Computation
• Non-abelian symmetries in tensor networks: a quantum symmetry space approach
• Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
• Tunable Quantum Criticality and Super-ballistic Transport in a `Charge' Kondo Circuit
• Universal Fermi liquid crossover and quantum criticality in a mesoscopic device
• Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
• Tensor networks and the numerical renormalization group
• Observation of Majorana Quantum Critical Behavior in a Resonant Level Coupled to a Dissipative Environment
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• X-Symbols for Non-Abelian Symmetries in Tensor Networks
• Anyons in Multichannel Kondo Systems
• Kondo-based Qubits for Topological Quantum Computation
• Adaptive broadening to improve spectral resolution in the numerical renormalization group
• Adaptive logarithmic discretization for numerical renormalization group methods
• Charge Fractionalization in a Kondo Device
• Indirect exchange interaction between magnetic impurities near the helical edge
• Wiedemann-Franz law in a non-Fermi liquid and Majorana central charge: Thermoelectric transport in a two-channel Kondo system
• Thermoelectric Transport in a Three-Channel Charge Kondo Circuit
• Indirect exchange interaction between magnetic impurities in the two-dimensional topological insulator based on CdTe/HgTe/CdTe quantum wells
• Multi-impurity chiral Kondo model: correlation functions and anyon fusion rules

Cited by in corpus (13)

• Topological symplectic Kondo effect
• Multichannel topological Kondo effect
• Many-body quantum interference route to the two-channel Kondo effect: Inverse design for molecular junctions and quantum dot devices
• Chiral numerical renormalization group
• Topological Quantum Computation on a Chiral Kondo Chain
• Topological Kondo effect with spinful Majorana fermions
• Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit
• Probing single-electron scattering through a non-Fermi liquid charge-Kondo device
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
• Universal Crossover in the Three-Channel Charge Kondo Model at High Transparency
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
• Influence of topological degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level
• A mesoscopic device for a realization of the Topological Kondo effect