Shape and dynamics of nonrelativistic vortex strings in parity-breaking media

A. A. Kozhevnikov (Laboratory of Theoretical Physics, S. L. Sobolev Institute of Mathematics, 630090 Novosibirsk, Russian Federation and Novosibirsk State University, 630090 Novosibirsk, Russian Federation; Novosibirsk State University, 630090 Novosibirsk, Russian Federation)

The shape and dynamics of the nonrelativistic gauge vortex string in the parity-broken media is considered, upon reducing the problem to finding the extremum of the Abelian Higgs model effective action with the fixed B-type helicity of the gauge field. It is shown that in contrast with the case of the fixed A-type helicity, the static solution of the Ginzburg-Landau energy functional in the London limit is the helix with the specific relation between the curvature and torsion of the vortex line depending on the strength of the space parity violating contribution of the Lifshitz invariant. A nonlinear dynamical equation is linearized in case of small oscillations around the helical contour, and the polarization and dispersion law of the propagated waves are obtained.

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Published on:
29 January 2021
Publisher:
APS
Published in:
Physical Review D , Volume 103 (2021)
Issue 2
DOI:
https://doi.org/10.1103/PhysRevD.103.025025
arXiv:
2010.00897
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: