https://doi.org/10.1140/epjst/e2013-02035-6
Regular Article
Nonlinear soliton-like excitations in two-dimensional lattices and charge transport
1 Dept. of Physics, Saratov State University, Astrakhanskaya 83, Saratov-410012, Russia
2 Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, 28040 Madrid, Spain
3 Institut für Physik, Humboldt-Universität Berlin, Newtonstrasse 15, 12489 Berlin, Germany
4 Fundacion Universidad Alfonso X El Sabio, Villanueva de la Canada, 28691 Madrid, Spain
a e-mail: chetverikovap@info.sgu.ru
b e-mail: ebeling@physik.hu-berlin.de
c e-mail: mgvelarde@pluri.ucm.es
Received: 16 July 2013
Revised: 13 August 2013
Published online: 28 October 2013
We study soliton-like excitations and their time and space evolution in several two-dimensional anharmonic lattices with Morse interactions: square lattices including ones with externally fixed square lattice frame (cuprate model), and triangular lattices. We analyze the dispersion equations and lump solutions of the Kadomtsev-Petviashvili equation. Adding electrons to the lattice we find solectron bound states and offer computational evidence of how electrons can be controlled and transported by such acoustic waves and how electron-surfing occurs at the nanoscale. We also offer computational evidence of the possibility of long lasting, fast lattice soliton and corresponding supersonic, almost loss-free transfer or transport of electrons bound to such lattice solitons along crystallographic axes.
© EDP Sciences, Springer-Verlag, 2013
