Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1998-11-09
Phys.Rev. B60 (1999) 8827
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, Latex/RevTeX
Scientific paper
10.1103/PhysRevB.60.8827
Using projective construction, a generalized parton construction, we construct many non-Abelian quantum Hall (QH) states, which include the Pfaffian state at filling fraction $\nu=1/2$. The projective construction allows us to calculate the bulk and the edge effective theory for the constructed QH state. We illustrate how to use the bulk effective theory to calculate the ground state degeneracy of non-Abelian QH liquids on torus. We point out that the full description of the effective theory requires both the effective Lagrangian and the definition of electron operators. The latter generates all physical states and defines the gauge structure of the theory.
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