Fermi points and the Nambu sum rule in the polar phase of $^3$He
Mesoscale and Nanoscale Physics
2018-04-12 v1 High Energy Physics - Phenomenology
Abstract
We discuss the polar phase of He, which is realized in the anisotropic aerogel. We consider it in the framework of the BCS model. In the absence of the spin - orbit interaction this model predicts the appearance of the Fermi line. However, it is topologically unstable. We demonstrate, that the spin - orbit interaction gives rise to the appearance of the two Fermi points instead of the Fermi line. In addition to the gapless Nambu - Goldstone bosons in this system the collective gapped bosonic states exist. Their gaps are calculated, and the corresponding Nambu sum rule is established.
Keywords
Cite
@article{arxiv.1705.02231,
title = {Fermi points and the Nambu sum rule in the polar phase of $^3$He},
author = {M. A. Zubkov},
journal= {arXiv preprint arXiv:1705.02231},
year = {2018}
}
Comments
Latex, 5 pages, with the Supplemental material, 6 pages