Effect of weak hopping on the behaviour of the one-dimensional box model

Abstract

The effect of the hopping on the magnetic and dielectric properties of the box mode. introduced by A. ZAWXDOWSXl and M. H. COHEN [1] are considered.By symmetry reasoning it is shown that the free energy is ah even funetion of the hopping rateas well as of the external electric field.It is proved that at finite temperature when the hopping is small enough the hopping processes in various ]9oxes are uncorrelated. Based on this the magnetic and dieleetric susceptio bilities are ca]culated up to the second order of the hopping tate.