Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-01-09
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
16 pages, 2 figures
Scientific paper
We investigate an alternative description of the SU(M)-singlet FQH state by using the spinless basis. The SU(M)-singlet Halperin state is obtained via the q-deformation of the Laughlin state and its root of unity limit, by applying the Yangian Gelfand-Zetlin basis for the spin Calogero-Sutherland model. The squeezing rule for the SU(M) state is also investigated in terms of the spinless basis.
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