Kivelson s model

Similar to Kivelson s model. Chance and co-workers proposed interchain hopping for spinless conductivity in doped polyacetylene, doped poly(p-phenylene) and other doped polymers [102]. The mechanism accounts for the observed dopant concentration dependence of the conductivity in rans-polyacetylene and the observation of anomalously... 

Moses et al. [98] have measured the conductivity of tra/is -polyacetylene at various pressures. In Kivelson s model at all pressures there should be the same temperature dependence [85]. In the case of variable-range hopping, however, the temperature dependence should change with pressure, because the density of states at the Fermi level changes [97]. The experiment shows no difference in the temperature dependence between ambient pressure and 8.74 kbar. Moses et al. [98] take this as an evidence for the Kivelson mechanism. 

In conjugated polymers in which transport occurs via hopping between bound soliton-antisoliton pairs such as polarons and bipolarons, the Kivelson s model predicts that the thermopower increases weakly with temperature. At room temperature S 250 iVir . 

In the case of weakly FeCla doped PPPs, the dc conductivity (Cdc) was proportional to T n 10). This result, which is very different from Mott s relationship, was interpreted as being due to hopping and fitted a relationship involving a slightly modified Kivelson model [228] between polarons and bipolar-ons. With more heavily doped PPPs, the charge transport mechanism changed dramatically, and Cdc was then given by Mott s relationship corre-... 

S. Kivelson, Electron hopping conduction in the soli-ton model of polyacetylene, Phys. Rev. Lett. 46(20) 1344 (1981). 

D. Kivelson, G. Tarjus, and S. A. Kivelson. A viewpoint, model, and theory for supercooled liquids. Progr. Theor. Physics SuppL, 126 (1997), 289-298. 

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