https://doi.org/10.1140/epjb/e2008-00076-2
Interacting potential between spinons in the compact QED3 description of the Heisenberg model
1
Department of Physics and Institute for Basic Science Research, Sungkyunkwan University, Suwon, 440-746, Korea
2
Laboratoire de Physique Théorique, Université Louis Pasteur, 67084 Strasbourg Cedex, France
Corresponding author: a rdillen@skku.edu
Received:
13
August
2007
Revised:
5
November
2007
Published online:
22
February
2008
We implement a Chern-Simons (CS) contribution into the compact QED3 description of the antiferromagnetic Heisenberg model in two dimensions at zero temperature. The CS term allows for the conservation of the SU(2) symmetry of the quantum spin system and fixes the flux through a plaquette to be a multiple of π as was shown by Marston. We work out the string tension of the confining potential which acts between the spinons and show that the CS term induces a screening effect on the magnetic field only. The confining potential between spinons is not affected by the CS flux. The strict site-occupation by a single spin 1/2 is enforced by the introduction of an imaginary chemical potential constraint.
PACS: 75.10.Jm – Quantized spin models / 11.10.Kk – Field theories in dimensions other than four / 11.15.-q – Gauge field theories / 11.25.Mj – Compactification and four-dimensional models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008