Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-07-28
J.Phys.A44:115001,2011
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, no figures, a few typos corrected, a reference added
Scientific paper
10.1088/1751-8113/44/11/115001
We show that different classes of topological order can be distinguished by the dynamical symmetry algebra of edge excitations. Fundamental topological order is realized when this algebra is the largest possible, the algebra of quantum area-preserving diffeomorphisms, called $W_{1+\infty}$. We argue that this order is realized in the Jain hierarchy of fractional quantum Hall states and show that it is more robust than the standard Abelian Chern-Simons order since it has a lower entanglement entropy due to the non-Abelian character of the quasi-particle anyon excitations. These behave as SU($m$) quarks, where $m$ is the number of components in the hierarchy. We propose the topological entanglement entropy as the experimental measure to detect the existence of these quantum Hall quarks. Non-Abelian anyons in the $\nu = 2/5$ fractional quantum Hall states could be the primary candidates to realize qbits for topological quantum computation.
Diamantini Cristina M.
Trugenberger Carlo A.
No associations
LandOfFree
SU(m) non-Abelian anyons in the Jain hierarchy of quantum Hall states 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 SU(m) non-Abelian anyons in the Jain hierarchy of quantum Hall states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SU(m) non-Abelian anyons in the Jain hierarchy of quantum Hall states will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-74590