Chern-Simons 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 momentum-frequency space, gives a nonzero coefficient for the Hopf-Chern-Simons term of the n field. A Chern-Simons-like 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