Edge excitations and Topological orders in rotating Bose gases

Details Edge excitations and Topological orders in rotating Bose gases Edge excitations and Topological orders in rotating Bose gases

2004-08-25

arxiv.org/abs/cond-mat/0408540v3

Phys. Rev. B 71, 121303(R) (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Results extended to larger systems. Improved presentation

Scientific paper

10.1103/PhysRevB.71.121303

The edge excitations and related topological orders of correlated states of a fast rotating Bose gas are studied. Using exact diagonalization of small systems, we compute the energies and number of edge excitations, as well as the boson occupancy near the edge for various states. The chiral Luttinger-liquid theory of Wen is found to be a good description of the edges of the bosonic Laughlin and other states identified as members of the principal Jain sequence for bosons. However, we find that in a harmonic trap the edge of the state identified as the Moore-Read (Pfaffian) state shows a number of anomalies. An experimental way of detecting these correlated states is also discussed.

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