Slave fermion theory of confinement in strongly anisotropic systems

We present a mean field treatment of a strongly correlated model of electrons in a three-dimensional anisotropic system. The mass of the bare electrons is larger in one spatial direction (the c-axis direction), than in the other two (the ab-planes). We use a slave fermion decomposition of the electronic degrees of freedom and show that there is a transition from a deconfined to a confined phase in which there is no coherent band formation along the c-axis.