Two-Dimensional Anharmonic Crystal Lattices: Solitons, Solectrons, and   Electric Conduction
  Reported here are salient features of soliton-mediated electron transport in anharmonic crystal lattices.After recalling how an electron-soliton bound state (solectron) can be formed we comment on consequences like electron surfing on a sound wave and balistic transport, possible percolation in 2d lattices, and a novel form of electron pairing with strongly correlated electrons both in real space and momentum space. 
Manuel G. Velarde, Werner Ebeling, Alexander P. Chetverikov
cond-mat.supr-con cond-mat.str-el nlin.PS