The non-local effects induced by Majorana fermions in field theories for condensed matter systems are deeply related to the fermion charge fractionalization discovered by Roman Jackiw in relativistic field theories. We show how the presence of Majorana fermions may be mimicked in pertinent networks of spin chains inducing a spin analogue of the multi-channel Kondo effect. The relevance of this spin analogue of the Kondo effect for networks of Josephson arrays and Tonks-Girardeau gases is highlighted.

Emerging Majorana Modes in Junctions of One-Dimensional Spin Systems

Domenico Giuliano
;
Andrea Trombettoni;Pasquale Sodano
2020-01-01

Abstract

The non-local effects induced by Majorana fermions in field theories for condensed matter systems are deeply related to the fermion charge fractionalization discovered by Roman Jackiw in relativistic field theories. We show how the presence of Majorana fermions may be mimicked in pertinent networks of spin chains inducing a spin analogue of the multi-channel Kondo effect. The relevance of this spin analogue of the Kondo effect for networks of Josephson arrays and Tonks-Girardeau gases is highlighted.
2020
Majorana modes
Spin chains
Junctions of one-dimensional quantum systems
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/348056
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