Coulomb and Hard Core Skyrmion Tails

Details Coulomb and Hard Core Skyrmion Tails Coulomb and Hard Core Skyrmion Tails

1998-04-07

arxiv.org/abs/cond-mat/9804090v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revtex 9 pages, figs.ps files at ftp://landau.calstatela.edu/pub/tailfigs

Scientific paper

10.1142/S0217979299002368

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.

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