Erratum: Suppression of localization in Kronig-Penney models with correlated disorder

Suppression of localization in Kronig-Penney models with correlated disorder.

We consider the electron dynamics and transport properties of one-dimensional continuous models with random, short-range correlated impurities. We develop a generalized Poincare map formalism to cast the Schrodinger equation for any potential into a discrete set of equations, illustrating its application by means of a specific example. We then concentrate on the case of a Kronig-Penney model wi...

Erratum: Suppression of localization in Kronig-Penney models with correlated disorder

The phonon frequencies for pure Al and Ni reported in Table I are wrong. The correct values are reported below. The error originated from a misprint in the paper of M. S. Daw and R. D. Hatcher [Solid State Commun. 56, 697 (1985}]in Eq. (4) for the phonon frequencies in reciprocal space. (The formula is corrected in a reference note of the paper of S. M. Foiles and J. B. Adams [Phys. Rev. B 40, ...

1 N ov 1 99 6 Transport properties of one - dimensional Kronig - Penney models with correlated disorder

Transport properties of one-dimensional Kronig-Penney models with binary correlated disorder are analyzed using an approach based on classical Hamiltonian maps. In this method, extended states correspond to bound trajectories in the phase space of a parametrically excited linear oscillator, while the on site-potential of the original model is transformed to an external force. We show that in th...

Two-dimensional effects in nonlinear Kronig-Penney models

Quantum diffusion in the Kronig-Penney model

In this paper we consider the 1D Schrödinger operator H with periodic point interactions. We show an L1 − L∞ bound for the time evolution operator e−itH restricted to each energy band with decay order O(t−1/3) as t → ∞, which comes from some kind of resonant state. The order O(t−1/3) is optimal for our model. We also give an asymptotic bound for the coefficient in the high energy limit. For the...