The European Physical Journal Special Topics

, Volume 222, Issue 10, pp 2531–2546 | Cite as

Nonlinear soliton-like excitations in two-dimensional lattices and charge transport

  • A.P. ChetverikovEmail author
  • W. EbelingEmail author
  • M.G. VelardeEmail author
Regular Article Applications in Chemistry, Physics and Engineering


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.


Soliton European Physical Journal Special Topic Stochastic System Triangular Lattice Lattice Unit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.Dept. of Physics, Saratov State UniversitySaratovRussia
  2. 2.Instituto Pluridisciplinar, Universidad ComplutenseMadridSpain
  3. 3.Institut für Physik, Humboldt-Universität BerlinBerlinGermany
  4. 4.Fundacion Universidad Alfonso X El SabioMadridSpain

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