Spin, Statistics and Charge of Solitons in (2+1)Dimensional Theories
Abstract
General topologically invariant microscopical expressions for quantum numbers of particlelike solitons ("skyrmions") are derived for a class of (2+1)D models. Skyrmions are either halfinteger spin fermions with odd electric charge or integer spin bosons with even charge. So they cannot be Anderson's spinons or holons. General results are exemplified by a square lattice model reminiscenting highTc models.
 Publication:

arXiv eprints
 Pub Date:
 March 1997
 DOI:
 10.48550/arXiv.condmat/9703195
 arXiv:
 arXiv:condmat/9703195
 Bibcode:
 1997cond.mat..3195Y
 Keywords:

 Condensed Matter  Strongly Correlated Electrons;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 High Energy Physics  Theory
 EPrint:
 LaTeX 2.09, 3 pages, no figures. This paper was published in 1989, but condmat/9610040 recently brought the subject of the Hopf term into prominence again. The paper is posted "as published", only the citations "to be published" are replaced by the references. Some discussion is dated, but the relations between the Hopf term, the Hall conductivity, the electric charge of the skyrmion, and the topological invariants in the momentum space are valid and relevant