Vortex liquids and vortex quantum Hall states in trapped rotating Bose gases

Details Vortex liquids and vortex quantum Hall states in trapped rotating Bose gases Vortex liquids and vortex quantum Hall states in trapped rotating Bose gases

2002-12-17

arxiv.org/abs/cond-mat/0212419v3

J. Phys. B 37, S301-S310 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 3 figures; to appear in J. Phys. B

Scientific paper

10.1088/0953-4075/37/7/074

We discuss the feasibility of quantum Hall states of vortices in trapped low-density two-dimensional Bose gases with large particle interactions. For interaction strengths larger than a critical dimensionless 2D coupling constant $g_c \approx 0.6$, upon increasing the rotation frequency, the system is shown to spatially separate into vortex lattice and melted vortex lattice (vortex liquid) phases. At a first critical frequency, the lattice melts completely, and strongly correlated vortex and particle quantum Hall liquids coexist in inner respectively outer regions of the gas cloud. Finally, at a second critical frequency, the vortex liquid disappears and the strongly correlated particle quantum Hall state fills the whole sample.

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