Coulomb and Hard Core Skyrmion Tails
Mesoscale and Nanoscale Physics
2009-10-31 v1
Abstract
Quantum Hall skyrmions are quantized solitons of a ferromagnetic O(3) sigma-model. The reference, classical, solutions depend upon the interaction between the electrons and exhibit completely different asymptotic profiles for the physical Coulomb interaction than for the model hard core interaction frequently used to generate variational wavefunctions. In this note we show, by means of numerical calculations on (large) finite size systems at nu=1, that this physically important difference, crucial for a sharp definition of their statistics, persists for the quantized skyrmions at n=1.
Keywords
Cite
@article{arxiv.cond-mat/9804090,
title = {Coulomb and Hard Core Skyrmion Tails},
author = {E. H. Rezayi and S. L. Sondhi},
journal= {arXiv preprint arXiv:cond-mat/9804090},
year = {2009}
}
Comments
Revtex 9 pages, figs.ps files at ftp://landau.calstatela.edu/pub/tailfigs