title: Vortex lattice transitions in cyclic spinor condensates.
abstract: We study the energetics of vortices and vortex lattices produced by rotation in the cyclic phase of F=2 spinor condensates. In addition to the familiar triangular lattice predicted by Tkachenko for 4He, 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.
authors.affiliation: Department of Physics, California Institute of Technology, MC 114-36, Pasadena, California 91125, USA.
authors.forename: Ryan
authors.initials: R
authors.lastname: Barnett
authors.forename: Subroto
authors.initials: S
authors.lastname: Mukerjee
authors.forename: Joel E
authors.initials: JE
authors.lastname: Moore