Contribution to the Low-Temperature Specific Heat of Vanadium-DopedTi2O3by a One-Dimensional Electron Gas

Abstract

The low-temperature specific heat of ${\mathrm{Ti}}_2$ ${\mathrm{O}}_3$ doped with 3.9% ${\mathrm{V}}_2$ ${\mathrm{O}}_3$ is compared with a theoretical model of a one-dimensional Fermi-Dirac gas proposed by Labbé and Friedel. Quantitative agreement is found between the model and the experimental results for a Fermi temperature of 5.3 K. The system under study furnishes an unusual example of an electron gas obeying a one-dimensional density-of-states function both for the extreme degenerate case and in the transition to the classical region.