Properties of a One-Dimensional Dirac Liquid

Recent experimental results, as well as technological implications, have lead to a resurgence in the analysis of one-dimensional systems. Of particular interest are the technological advances possible in one-dimensional systems; specifically carbon nano-tubes and nano-wires. Here we investigate the properties of a one-dimensional Dirac liquid. We show a distinct change in the behavior of the exponents of quantities such as the correlation functions, density of states, and momentum distribution function. We find that these exponents, as well as relevant thermodynamic and transport properties are independent of density. Additionally, we discuss the consequences the Virial Theorem has on such systems.