Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems

Details Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems

2000-08-15

arxiv.org/abs/cond-mat/0008219v3

Phys. Rev. B {\bf 63}, 085306 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

27 pages; new subsection with summary of results and two tables. Misprints and errors of an an earlier version are corrected.

Scientific paper

10.1103/PhysRevB.63.085306

We present an effective theory for the bulk Fractional Quantum Hall states in spin-polarized bilayer and spin-1/2 single layer two-dimensional electron gases (2DEG) in high magnetic fields consistent with the requirement of global gauge invariance on systems with periodic boundary conditions. We derive the theory for the edge states that follows naturally from this bulk theory. We find that the minimal effective theory contains two propagating edge modes that carry charge and energy, and two non-propagating topological modes responsible for the statistics of the excitations. We give a detailed description of the effective theory for the spin-singlet states, the symmetric bilayer states and for the $(m,m,m)$ states. We calculate explicitly, for a number of cases of interest, the operators that create the elementary excitations, their bound states, and the electron. We also discuss the scaling behavior of the tunneling conductances in different situations: internal tunneling, tunneling between identical edges and tunneling into a FQH state from a Fermi liquid.

Affiliated with

Also associated with

No associations

Rating

Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer 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 Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601052