Realization of 2-channel Kondo effect in a junction of three quantum Ising chains

Abstract

It is shown that a junction of three quantum Ising chains ($\Delta$-junction) can be described as the 2-channel Kondo model in a box which size is of the order of the Ising model correlation length with spin S=1/2 localized at the junction. The local spin is composed of the zero energy boundary Majorana modes of the Ising models.

3 pages, a rigorous derivation of the link between the Ising chains and the Kondo model is provided

References in corpus (2)

• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Topological Kondo effect with Majorana fermions

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