Numerical evidence of Luttinger liquid behavior of potassium doped trans-polyacetylene chain of infinite length

We report on the first direct numerical evidence of a Tomonaga-Luttinger liquid behavior in potassium doped trans-polyacetylene system and a possible deviation from Tomonaga-Luttinger liquid state at very high doping concentration. Using density functional theoretical calculation, an analysis of density of states near the Fermi energy reveals a power law scaling factor of Tomonaga-Luttinger liquid at low dopant concentration in the metallic regime. As soon as the doping level reaches 0.0816 e/C, a drastic change in phase with power law scaling factor as low as 0.0023 has been realized.