Tomonaga-Luttinger liquid feature in sodium-doped quasi-one-dimensional trans-polyacetylene chain

We employ density functional theoretical calculation to establish Tomonaga-Luttinger liquid (TLL) behavior of sodium-doped quasi-one-dimensional trans-polyacetylene chain. A study of density of states near the Fermi energy demonstrates power-law dependence at doping concentrations 8.3%, 10.0% and 12.5%. The existence of power-law behavior in density of states is the signature of TLL behavior. Related power-law scaling factors are calculated from the slopes of logarithmic density of states versus logarithmic energy relative to Fermi energy plot. Asymptotic variation of density-density correlation function also confirms the appearance of TLL.