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

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.