title: Dynamics of one electron in a nonlinear disordered chain.
abstract: In this paper we report new numerical results on the disordered Schrödinger equation with nonlinear hopping. By using a classical harmonic Hamiltonian and the Su-Schrieffer-Heeger  approximation we write an effective Schrödinger equation. This model with off-diagonal nonlinearity allows us to study the interaction of one electron and acoustical phonons. We solve the effective Schrödinger equation with nonlinear hopping for an initially localized wavepacket by using a predictor-corrector Adams-Bashforth-Moulton method. Our results indicate that the nonlinear off-diagonal term can promote a long-time subdiffusive regime similar to that observed in models with diagonal nonlinearity.
authors.affiliation: Instituto de Física, Universidade Federal de Alagoas, Maceió, Brazil. fidelis@fis.ufal.br
authors.forename: F A B F
authors.initials: FA
authors.lastname: de Moura
authors.forename: R A
authors.initials: RA
authors.lastname: Caetano
authors.forename: B
authors.initials: B
authors.lastname: Santos