Volume 103, Number 5, September 2013
|Number of page(s)||5|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||23 September 2013|
Realization of a two-channel Kondo model with Josephson junction networks
1 Dipartimento di Fisica, Università della Calabria and INFN, Gruppo Collegato di Cosenza Arcavacata di Rende, I-87036, Cosenza, Italy, EU
2 International Institute of Physics, Universidade Federal do Rio Grande do Norte - 59012-970, Natal, Brazil
3 INFN, Sezione di Perugia - Via A. Pascoli, I-06123, Perugia, Italy, EU
Received: 22 July 2013
Accepted: 28 August 2013
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 in Phys. Rev. Lett., 110 (2013) 147202. 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.
PACS: 75.10.Pq – Spin chain models / 74.81.Fa – Josephson junction arrays and wire networks / 72.10.Fk – Scattering by point defects, dislocations, surfaces, and other imperfections (including Kondo effect)
© EPLA, 2013
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