Free Majorana fermions with superconducting quantum wires and a magnetic impurity
Abstract
Through the two-channel Kondo model, I address a magnetic spin-1/2 impurity interacting with a bound state of spin origin at the edge in a Luther-Emery liquid showing a spin gap in the bulk. The system presents two zero-energy Majorana fermions of magnetic origin, one on the impurity site and one at the edge. I derive the wavefunction at the edge for the produced zero-energy Majorana fermion bound state within the same formalism as topological interfaces. I present alternative versions of the quantum field theory revealing the specific pairing of the Majorana fermions in the bulk. I address local physical responses. I develop the idea that this model can be realized with a magnetic impurity bridging the gap between two swave superconducting wires. I show the protection of the zero-energy Majorana fermions that will be referred to as free Majorana fermions.
Related
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BibTeX
@article{hur2026free,
title = {{Free Majorana fermions with superconducting quantum wires and a magnetic impurity}},
author = {Karyn Le Hur},
journal = {Comptes Rendus. Physique},
year = {2026},
month = aug,
doi = {10.5802/crphys.284},
url = {https://hal.science/hal-05765580v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Free Majorana fermions with superconducting quantum wires and a magnetic impurity
AU - Karyn Le Hur
PY - 2026
DA - 2026/08/03
JO - Comptes Rendus. Physique
DO - 10.5802/crphys.284
UR - https://hal.science/hal-05765580v1
AB - Through the two-channel Kondo model, I address a magnetic spin-1/2 impurity interacting with a bound state of spin origin at the edge in a Luther-Emery liquid showing a spin gap in the bulk. The system presents two zero-energy Majorana fermions of magnetic origin, one on the impurity site and one at the edge. I derive the wavefunction at the edge for the produced zero-energy Majorana fermion bound state within the same formalism as topological interfaces. I present alternative versions of the quantum field theory revealing the specific pairing of the Majorana fermions in the bulk. I address local physical responses. I develop the idea that this model can be realized with a magnetic impurity bridging the gap between two swave superconducting wires. I show the protection of the zero-energy Majorana fermions that will be referred to as free Majorana fermions.
SN - 1631-0705
SN - 1878-1535
ER -