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
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).
Key words: Solid State and Materials
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2015