A UNIVERSAL RELATION BETWEEN THE DENSITIES OF STATES NEAR VAN HOVE SINGULARITIES AND THE EFFECTIVE ELECTRON MASSES IN 1-DIMENSIONAL MATERIALS

We present a universal relation between the densities of states near Van Hove singularities and the effective electron masses in 1-dimensional (1-D) materials. The relation can be utilized as a new method to determine the effective masses of charge carriers of 1-D materials in theoretical calculations and in experimental measurements. The calculated results, utilizing the relation for single-walled carbon nanotubes (SWCNTs), agree well with that of the conventional calculations when both approaches utilize the outputs of ab-initio density functional computations.