Competing Compressible and Incompressible Phases in Rotating Atomic Bose Gases at Filling Factor $ν=2$

Details Competing Compressible and Incompressible Phases in Rotating Atomic Bose Gases at Filling Factor $ν=2$ Competing Compressible and Incompressible Phases in Rotating Atomic Bose Gases at Filling Factor $ν=2$

2006-07-26

arxiv.org/abs/cond-mat/0607692v2

Phys. Rev. A 75, 013627 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevA.75.013627

We study the groundstates of weakly interacting atomic Bose gases under conditions of rapid rotation. We present the results of large-scale exact diagonalisation studies on a periodic geometry (a torus) which allows studies of compressible states with broken translational symmetry. Focusing on filling factor $\nu=2$, we show a competition between the triangular vortex lattice, a quantum smectic state, and the incompressible $k=4$ Read-Rezayi state. We discuss the corrections arising from finite size effects, and the likely behaviour for large system sizes. The Read-Rezayi state is stabilised by a moderate amount of additional dipolar interactions.

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