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

Abstract

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.

arXiv comment8 pages, 1 figure. Copy-paste errors in Eqs. (2.14), (3.2), and (5.4) are corrected

References in corpus (11)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Helical vortex phase in the non-centrosymmetric CePt_3Si
• Magnetic properties of superconductors with strong spin-orbit coupling
• Vortices with magnetic field inversion in noncentrosymmetric superconductors
• Spiral magnetic field and bound states of vortices in noncentrosymmetric superconductors
• Gauge string in the fermion asymmetric matter
• Dynamics of vortices in chiral media: the chiral propulsion effect
• Vortex dynamics in nonrelativistic Abelian Higgs model
• The effective action and equations of motion of curved local and global vortices: Role of the field excitations