ChernSimons Terms and n Field in Haldane's Model for the Quantum Hall Effect without Landau Levels
Abstract
It is shown that the nonzero quantized value of the Hall conductivity in Haldane's model <article>Phys. Rev. Lett. 61 2015 1988</article> appears because the electron Green's function is a topologically nontrivial function of momentum and frequency. If the n field is introduced in this model then the same topological invariant, defined in the momentumfrequency space, gives a nonzero coefficient for the HopfChernSimons term of the n field. A ChernSimonslike term, which mixes the electromagnetic and n fields and determines the electric charge of the Skyrmion, can also have a nonzero coefficient in the model.
 Publication:

Physical Review Letters
 Pub Date:
 July 1990
 DOI:
 10.1103/PhysRevLett.65.251
 Bibcode:
 1990PhRvL..65..251Y
 Keywords:

 75.10.Lp;
 05.30.Fk;
 11.15.Kc;
 Band and itinerant models;
 Fermion systems and electron gas;
 Classical and semiclassical techniques