Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-01-25
Phys. Rev. B 73 (2006) 245311
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
16 pages, 2 figures, Latex. Reference added, some errors corrected, some content changed, some changes in the abstract
Scientific paper
10.1103/PhysRevB.73.245311
To detect non-abelian statistics in the $\nu = 12/5$ quantum Hall state through interferometry, we apply an analysis similar to the ones proposed for the non-abelian $\nu = 5/2$ quantum Hall state. The result is that the amplitude of the Aharonov-Bohm oscillation of this interference is dependent on the internal states of quasiholes, but, in contrast to the $\nu = 5/2$ quantum Hall state, independent of the number of quasiholes. However, if the quasiholes are in a superposition state, it is necessary for the interferometer to have certain additional features to obtain the coefficients.
Chung Suk Bum
Stone Michael
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