Chern-Simons Correlations on (2+1)D Lattice
L. A. Abramyan, A. P. Protogenov, V. A. Verbus
TL;DR
This paper investigates how zero modes influence particle counts in a (2+1)D nonlinear Schrödinger model with Chern-Simons terms, revealing a universal attraction at small k that could relate to high-temperature superconductivity.
Contribution
It introduces the first analysis of zero mode contributions in a (2+1)D Chern-Simons nonlinear Schrödinger model and links small k behavior to potential semion pairing mechanisms.
Findings
Universal attraction between field configurations at small k
Potential dynamic origin of semion pairing in high-Tc superconductors
Zero mode contributions significantly affect particle number calculations
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 Schr\"odinger 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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