Halperin (m, m',n) bilayer quantum Hall states on thin cylinders

Details Halperin (m, m',n) bilayer quantum Hall states on thin cylinders Halperin (m, m',n) bilayer quantum Hall states on thin cylinders

2008-01-15

arxiv.org/abs/0801.2402v3

Phys. Rev. Lett. 101, 036804 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

published version

Scientific paper

10.1103/PhysRevLett.101.036804

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.

Affiliated with

Also associated with

No associations

Rating

Halperin (m, m',n) bilayer quantum Hall states on thin cylinders does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Halperin (m, m',n) bilayer quantum Hall states on thin cylinders, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Halperin (m, m',n) bilayer quantum Hall states on thin cylinders will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-159390