Abstract
We study the energetics of vortices and vortex lattices produced by rotation in the cyclic phase of spinor condensates. In addition to the familiar triangular lattice predicted by Tkachenko for , many more complex lattices appear in this system as a result of the spin degree of freedom. In particular, we predict a magnetic-field-driven transition from a triangular lattice to a honeycomb lattice. Other transitions and lattice geometries are driven at constant field by changes in the temperature-dependent ratio of charge and spin stiffnesses, including a transition through an aperiodic vortex structure. Finally, we compute the renormalization of the ratio of the spin and charge stiffnesses from thermal fluctuations using a nonlinear sigma model analysis.
- Received 2 November 2007
DOI:https://doi.org/10.1103/PhysRevLett.100.240405
©2008 American Physical Society