TY - JOUR
T1 - Mobile localized solutions for an electron in lattices with dispersive and non-dispersive phonons
AU - Cisneros-Ake, Luis A.
AU - Cruzeiro, Leonor
AU - Velarde, Manuel G.
N1 - Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2015/6/15
Y1 - 2015/6/15
N2 - Abstract We consider a one dimensional lattice in which an electron can interact both with on-site non-dispersive (Einstein) phonons and with longitudinal dispersive acoustic (Debye) phonons. We provide existence conditions for mobile localized electron excitations in the long wave limit. The role of both types of phonon modes on localization is also assessed, together with a discussion of differences existing between the discrete and the continuum approaches. A striking result is that, under certain conditions, localized states can only be stable if they have a non-zero velocity.
AB - Abstract We consider a one dimensional lattice in which an electron can interact both with on-site non-dispersive (Einstein) phonons and with longitudinal dispersive acoustic (Debye) phonons. We provide existence conditions for mobile localized electron excitations in the long wave limit. The role of both types of phonon modes on localization is also assessed, together with a discussion of differences existing between the discrete and the continuum approaches. A striking result is that, under certain conditions, localized states can only be stable if they have a non-zero velocity.
KW - Coupled phonon modes
KW - Dispersive phonons
KW - Mobile localized states
KW - Non-dispersive phonons
UR - http://www.scopus.com/inward/record.url?scp=84931281656&partnerID=8YFLogxK
U2 - 10.1016/j.physd.2015.05.008
DO - 10.1016/j.physd.2015.05.008
M3 - Artículo
SN - 0167-2789
VL - 306
SP - 82
EP - 93
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
ER -