Halperin (m,m',n) bilayer quantum Hall states on thin cylinders.
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.
Seidel
Alexander
A
National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32306, USA and Washington University, St. Louis, Missouri 63136, USA.
Yang
Kun
K