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  • Title: Halperin (m,m',n) bilayer quantum Hall states on thin cylinders.
    Author: Seidel A, Yang K.
    Journal: Phys Rev Lett; 2008 Jul 18; 101(3):036804. PubMed ID: 18764275.
    Abstract:
    The Halperin (m,m',n) bilayer quantum Hall states are studied on thin cylinders. In this limit, charge-density-wave patterns emerge that are characteristic of the underlying quantum Hall state. The general patterns are worked out from a variant of the plasma analogy. Torus degeneracies are recovered, and for some important special cases a connection to well-known spin chain physics is made. By including interlayer tunneling, we also work out the critical behavior of a possible phase transition between the (331) state and the non-Abelian Moore-Read state in the thin cylinder limit.
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