We continue the study of U(1) vortices with cholesteric vacuum structure. A new class of solutions is found which represent global vortices of the internal spin field. These spin vortices are characterized by a non-vanishing angular dependence at spatial infinity, or winding. We show that despite the topological Z2 behavior of SO(3) windings, the topological charge of the spin vortices is of the Z type in the cholesteric. We find these solutions numerically and discuss the properties derived from their low energy effective field theory in 1 + 1 dimensions.
Bibliographical noteFunding Information:
The work of A.P. is supported by the Doctoral Dissertation Fellowship at the University of Minnesota. The work of M.S. is supported in part by DOE Grant Number De-Sc0011842 . G.T. is funded by Fondecyt Grant Number 3140122 . The Centro de Estudios Cientficos (CECS) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt.
© 2015 Elsevier Inc.
- Cholesteric liquid
- Effective field theory
- Spin vortex