Calculation of statistical entropic measures in a model of solids

In this work, a one-dimensional model of crystalline solids based on the Dirac comb limit of the Krönig–Penney model is considered. From the wave functions of the valence electrons, we calculate a statistical measure of complexity and the Fisher–Shannon information for the lower energy electronic bands appearing in the system. All these magnitudes present an extremal value for the case of solids having half-filled bands, a configuration where in general a high conductivity is attained in real solids, such as it happens with the monovalent metals.

► A simplified model of solids is considered. Its electronic band structure is calculated.
► The statistical complexity and the Fisher–Shannon information are computed on this model.
► The extremal value for this indicators are taken on the configurations showing the highest conductivity.