ELECTRON TRAPPING BY SOLITONS: CLASSICAL VERSUS QUANTUM MECHANICAL APPROACH
Abstract
Assuming either classical electrodynamics or the quantum mechanical tight-binding of an electron to a nonlinear lattice with exponentially repulsive potential interactions we show how in both cases electron trapping can be mediated by solitons thus forming similar robust bound states (solectrons).
References
-
N. W. Ashcroft and N. D. Mermin , Solid State Physics ( Holt, Rinehardt & Winston , Philadelphia , 1976 ) . Google Scholar - Contrib. Plasma Phys. 45, 275 (2005), DOI: 10.1002/ctpp.200510031. Crossref, Web of Science, Google Scholar
- Int. J. Bifurcation and Chaos 16, 1613 (2006). Link, Web of Science, Google Scholar
- Eur. Phys. J. B 51, 87 (2006), DOI: 10.1140/epjb/e2006-00192-y. Crossref, Web of Science, Google Scholar
-
Ph. Choquard , The Anharmonic Crystal ( Benjamin , NY , 1967 ) . Google Scholar -
P. L. Christiansen and A. C. Scott (eds.) , Davydov's Soliton Revisited. Self-Trapping of Vibrational Energy in Protein ( Plenum Press , NY , 1983 ) . Google Scholar -
A. S. Davydov , Solitons in Molecular Systems , 2nd edn. ( Reidel , Dordrecht , 1991 ) . Crossref, Google Scholar - Phys. Rev. E 61, 4550 (2000), DOI: 10.1103/PhysRevE.61.4550. Crossref, Web of Science, Google Scholar
- Phys. Rev. B 73, 024306-1 (2006). Web of Science, Google Scholar
- Phys. Rev. E 73, 066626-1 (2006). Web of Science, Google Scholar
- Phys. Rep. 217, 1 (1992), DOI: 10.1016/0370-1573(92)90093-F. Crossref, Web of Science, Google Scholar
-
M. Toda , Theory of Nonlinear Lattices , 2nd edn. ( Springer-Verlag , Berlin , 1989 ) . Crossref, Google Scholar - Int. J. Bifurcation and Chaos 15, 245 (2005). Link, Web of Science, Google Scholar
- Int. J. Bifurcation and Chaos 16, 1035 (2006). Link, Web of Science, Google Scholar