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Chern-Simons Correlations on (2+1)D Lattice

L. A. Abramyan, A. P. Protogenov, V. A. Verbus

cond-matarXiv:cond-mat/9911220

Abstract

We have computed the contribution of zero modes to the value of the number of particles in the model of discrete (2+1)-dimensional nonlinear Schrödinger equation. It is shown for the first time that in the region of small values of the Chern-Simons coefficient k there exists a universal attraction between field configurations. For k=2 this phenomenon may be a dynamic origin of the semion pairing in high temperature superconducting state of planar systems.

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