Mapping interacting onto non-interacting quantum Hall systems

Details Mapping interacting onto non-interacting quantum Hall systems Mapping interacting onto non-interacting quantum Hall systems

2007-02-05

arxiv.org/abs/cond-mat/0702101v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revtex, 4 Pages, submitted to Phys. Rev. Lett

Scientific paper

We construct an explicit duality between the interacting quantum Hall system in the lowest Landau level and a non-interacting Landau problem. This is done by absorbing the interaction into the gauge field in the form of an effective magnetic vector potential. The result is analogous to, and illuminates the microscopic origin of, the well-known composite fermion model, but has several advantageous properties. Using this duality we derive, for an arbitrary short-range interaction, analytic expressions for the ground state energy and the excitation gap as functions of the filling fraction. We find good agreement with existing results.

Affiliated with

Also associated with

No associations

Rating

Mapping interacting onto non-interacting quantum Hall systems 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 Mapping interacting onto non-interacting quantum Hall systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mapping interacting onto non-interacting quantum Hall systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714089