Realization of a two-channel Kondo model with Josephson junction networks

Abstract

We show that- in the quantum regime- a Josephson junction rhombi chain (i.e. a Josephson junction chain made by rhombi formed by joining 4 Josephson junctions) may be effectively mapped onto a quantum Hamiltonian describing Ising spins in a transverse magnetic field with open boundary conditions. Then, we elucidate how a Y-shaped network fabricated with 3 Josephson Junction Rhombi chains may be used as a quantum device realizing the two channel Kondo model recently proposed by Tsvelik. We point out that the emergence of a 2 channel Kondo effect in this superconducting network may be probed through the measurement of a pertinent Josephson current.

5 pages, 4 figures. To appear in EPL

References in corpus (8)

• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Observation of the two-channel Kondo effect
• Realization of 2-channel Kondo effect in a junction of three quantum Ising chains
• Quantum spins on star graphs and the Kondo model
• Measurement of the Current-Phase Relation in Josephson Junctions Rhombi Chains
• Frustration of decoherence in $Y$-shaped superconducting Josephson networks
• Enhanced Coherence of a Quantum Doublet Coupled to Tomonaga-Luttinger Liquid Leads
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling

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• Sine-Gordon solitons in networks: Scattering and transmission at vertices
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• Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
• Tunable Kondo screening length at a Y-junction of three inhomogenous spin chains
• Tunable spin/charge Kondo effect at a double superconducting island connected to two spinless quantum wires
• Junction of three off-critical quantum Ising chains and two-channel Kondo effect in a superconductor
• The dc Josephson current in a long multi-channel quantum wire
• Majorana boundary modes in Josephson junctions arrays with gapless bulk excitations
• Real fermion modes, impurity entropy, and nontrivial fixed points in the phase diagram of junctions of interacting quantum wires and topological superconductors
• Quantum Impurity in Luttinger Liquid: Universal Conductance with Entanglement Renormalization
• Spin and thermal current scaling at a $Y$-junction of XX spin chains