English

Dipolar phase transitions in the cavity with Majorana populated Josephson junctions

Strongly Correlated Electrons 2017-10-20 v3 Mesoscale and Nanoscale Physics

Abstract

We found that QED in the lowest eigenstate of the microwave-cavity, capacitively coupled with Majorana populated Josephson junctions array, is described with an effective ϕ4\phi^{4} model emerging in the finite domain of the system parameters. Strong anharmonicity of the cavity mode arises due to electric-dipole phase transition facilitated by the single-electron zero mode and Cooper pair tunneling between superconducting islands. An instantonic meandering of the electromagnetic field potential at finite temperatures is predicted.

Keywords

Cite

@article{arxiv.1603.09372,
  title  = {Dipolar phase transitions in the cavity with Majorana populated Josephson junctions},
  author = {S. I. Mukhin and N. V. Gnezdilov and Seid ali Seidov},
  journal= {arXiv preprint arXiv:1603.09372},
  year   = {2017}
}

Comments

We withdraw this manuscript, because a more accurate calculation has shown that the mean-field value of the dipole moment of the Majorana-Josephson junction is reduced to zero due to zero-point fluctuations