Phys. Rev. Lett. 101, 036804 (2008) [4 pages]Halperin (m,m′,n) Bilayer Quantum Hall States on Thin CylindersReceived 23 January 2008; published 16 July 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.036804
DOI:
10.1103/PhysRevLett.101.036804
PACS:
73.43.Cd, 73.43.Nq
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