Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-06-29
Phys. Rev. B 75, 165306 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
10 pages, 2 figures
Scientific paper
10.1103/PhysRevB.75.165306
This study builds upon the work of Palacios and MacDonald (Phys. Rev. Lett. {\bf 76}, 118 (1996)), wherein they identify the bosonic excitations of Wen's approach for the edge of the 1/3 fractional quantum Hall state with certain operators introduced by Stone. Using a quantum Monte Carlo method, we extend to larger systems containing up to 40 electrons and obtain more accurate thermodynamic limits for various matrix elements for a short range interaction. The results are in agreement with those of Palacios and MacDonald for small systems, but offer further insight into the detailed approach to the thermodynamic limit. For the short range interaction, the results are consistent with the chiral Luttinger liquid predictions.We also study excitations using the Coulomb ground state for up to nine electrons to ascertain the effect of interactions on the results; in this case our tests of the chiral Luttinger liquid approach are inconclusive.
Chang Chia-Chen
Jain Jainendra K.
Jolad Shivakumar
No associations
LandOfFree
Electron operator at the edge of the 1/3 fractional quantum Hall liquid 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 Electron operator at the edge of the 1/3 fractional quantum Hall liquid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Electron operator at the edge of the 1/3 fractional quantum Hall liquid will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-143709