Junction of three off-critical quantum Ising chains and two-channel Kondo effect in a superconductor

Abstract

We show that a junction of three off-critical quantum Ising chains can be regarded as a quantum spin chain realization of the two-channel spin-1/2 overscreened Kondo effect with two superconducting leads. We prove that, as long as the Kondo temperature is larger than the superconducting gap, the equivalent Kondo model flows towards the 2 channel Kondo fixed point. We argue that our system provides the first controlled realization of 2 channel Kondo effect with superconducting leads. This, besides its the theoretical interest, is of importance for potential applications to a number of context, including the analysis of the quantum entanglement properties of a Kondo system.

arXiv comment14 pages, 4 .eps figures

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Cited by in corpus (10)

• Persistent current and zero-energy Majorana modes in a p-wave disordered superconducting ring
• Current transport properties and phase diagram of a Kitaev chain with long-range pairing
• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Geometric Criterion for Solvability of Lattice Spin Systems
• Tunable Kondo screening length at a Y-junction of three inhomogenous spin chains
• $6\pi$ Josephson effect in Majorana box devices
• Traffic models and traffic-jam transition in quantum ($N$+1)-level systems
• Universal scaling of a classical impurity in the quantum Ising chain
• From Kondo effect to weak-link regime in quantum spin-1/2 spin chains
• Spin and thermal current scaling at a $Y$-junction of XX spin chains