We consider the equilibrium current circulating in a cylindrical geometry, perpendicular to applied magnetic and electric fields in a strongly correlated system. We show that the sign of this current is determined by the derivative of the kinetic energy with respect to the chemical potential. We present exact numerical results from diagonalization of finite clusters to support our arguments. In the case of the Hubbard model with strong on-site repulsion the sign of the equilibrium Hall conductivity is electronlike for a small number of particles and holelike close to half filling.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics