M. Lagos et J. Rogan, DIAMAGNETIC CURRENTS SUPPORTED BY COLLECTIVE CHARGE WAVES IN A CLASS OF MOTT INSULATORS, Solid state communications, 95(7), 1995, pp. 469-474
We put forward a model of tightly bound electrons in a bipartite latti
ce with repulsive interaction between electrons of same spin located i
n neighboring sites. Assuming external magnetic field the stationary s
tates are obtained for spin dependent repulsion energy much larger tha
n the hopping coefficient. The expectation value of the canonical mome
ntum, as well as the current density, for these states turn out to be
proportional to the vector potential, which proves that the system is
a perfect diamagnet. The excitations of the system are collective char
ge waves and, although the system is an antiferromagnetic insulator in
the sense of Bloch theory, coherent transport of charge occurs throug
h these travelling charge waves.