Eur. Phys. J. B (2015) 88: 202
https://doi.org/10.1140/epjb/e2015-60495-4

Regular Article

On the temperature dependence of fast electron transport in crystal lattices

¹ Dept. of Physics, Saratov State University, Astrakhanskaya 83, 410012 Saratov, Russia
² Institut für Physik, Humboldt Universität Berlin, Newtonstrasse 15, 12489 Berlin, Germany
³ Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, 28040 Madrid, Spain

^a e-mail: mgvelarde@pluri.ucm.es

Received: 22 June 2015
Received in final form: 25 June 2015
Published online: 10 August 2015

Abstract

Building upon the findings of Muto et al. [Phys. Lett. A 136, 33 (1989)] and Marchesoni and Lucheroni [Phys. Rev. E 44, 5303 (1991)] about the growth of the number of (anharmonic) lattice solitons with increasing temperature and using a recent transport 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 fractional power law of the temperature dependence of resistivity in a rather general model for one-dimensional crystal lattices as, e.g., conducting polymers. We also show that the determining factor for the transport is the possibility of forming electron-soliton bound states (in short solectrons) with a most significant contribution arising from the (bosonic) bound state of two electrons to a soliton (in short bisolectrons).