On the temperature dependence of fast electron transport in crystal lattices

Abstract Building upon the findings of Muto et al. [Phys. Lett. A 136, 33 (1989)] andMarchesoni and Lucheroni [Phys. Rev. E 44, 5303 (1991)] about the growth ofthe number of (anharmonic) lattice solitons with increasing temperature and using a recenttransport theory developed by the present authors...
Ausführliche Beschreibung

Abstract Building upon the findings of Muto et al. [Phys. Lett. A 136, 33 (1989)] andMarchesoni and Lucheroni [Phys. Rev. E 44, 5303 (1991)] about the growth ofthe number of (anharmonic) lattice solitons with increasing temperature and using a recenttransport theory developed by the present authors [A.P. Chetverikov, W. Ebeling, G. Röpke,M.G. Velarde, Eur. Phys. J. B 87, 153 (2014)] here we provide the fractionalpower law of the temperature dependence of resistivity in a rather general model forone-dimensional crystal lattices as, e.g., conducting polymers. We also show that thedetermining factor for the transport is the possibility of forming electron-soliton boundstates (in short solectrons) with a most significant contribution arising from the(bosonic) bound state of two electrons to a soliton (in short bisolectrons). Ausführliche Beschreibung