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.