Skyrmions in the quantum Hall effect at finite Zeeman coupling

Details Skyrmions in the quantum Hall effect at finite Zeeman coupling Skyrmions in the quantum Hall effect at finite Zeeman coupling

1996-08-05

arxiv.org/abs/cond-mat/9608016v1

Physics

Condensed Matter

17 pages, LaTex, 4 Postscript figures

Scientific paper

10.1103/PhysRevB.54.16838

Using a self consistent approximation for the spin distribution of Skyrmions in the quantum Hall effect, we obtain an effective action for the Skyrmion coordinates. The energy functional is minimised for a periodic distribution of Skyrmions with an underlying hexagonal symetry. We calculate the phonon spectrum of this lattice and find that near the classical minimum, breathing modes of the Skyrmions are strongly suppressed. The resulting equal sized Skyrmions interact via a residual Coulomb potential. Neglecting coupling between phonons and spin waves due to dipole and higher order Coulomb interactions, the Skyrmion crystal has a phonon spectrum identical to that of an electronic Wigner crystal. The transition to a liquid of equal sized Skyrmions is discussed using the theory of dislocation melting and a comparison is made between the predictions of this theory and the results of a recent experiment.

Affiliated with

Also associated with

No associations

Rating

Skyrmions in the quantum Hall effect at finite Zeeman coupling 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 Skyrmions in the quantum Hall effect at finite Zeeman coupling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Skyrmions in the quantum Hall effect at finite Zeeman coupling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-193308