Phonon Conductance of Potassium- and Sodium-Doped Transpolyacetylene Chain

Figure 2

(a) A typical Phonon dispersion curve Ω(𝜑_𝑥) for the considered undoped transpolyacetylene chain, with the ratio of 𝛾₁=𝑘₁/𝑘=0.5 and 𝛾₂=𝑘₂/𝑘=0.8 for the system. They are shown here over the interval 𝜑_𝑥=[−𝜋,+𝜋] of the first Brillouin zone. (b) A three-dimensional view of the vibration eigenmodes Ω(𝑍_𝜈) for the considered transpolyacetylene chain with nearest and next nearest neighbor interactions 𝑘₁ and 𝑘₂ for the specific case of 𝛾₁=𝑘₁/𝑘=0.5 and 𝛾₂=𝑘₂/𝑘=0.8; with 𝑍_𝜈 the phase factors, 𝜈 is taken here with the values 1, 2, 3, and 4.

(a)

(b)