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Published June 20, 2008 | public
Journal Article Open

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.

Additional Information

©2008 The American Physical Society. (Received 2 November 2007; revised 25 March 2008; published 19 June 2008) The authors thank D.A. Huse, M. Lucianovic, O. Motrunich, D. Podolsky, G. Refael, D. Stamper-Kurn, M. Vengalattore, and A. Vishwanath for useful discussions. R.B. was supported by the Sherman Fairchild Foundation, S.M. by DOE/LBNL, and J.E.M. by NSF No. DMR-0238760.

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