Dynamical impurity in a tight-binding Hamiltonian

A.K. CHATTAH; M.O. CÁCERES

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Institute of Physics (IOP)

Año: 2001 vol. 34 p. 5795 - 5795

p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none">We find the exact dynamics—in mean value—for a one-dimensional tightbinding model in the presence of a dynamical impurity (dichotomic process). Using the theorem of Bourret et al we prove that a ‘dynamical localization’ of the TB wave function electron is indeed generated by the stochastic impurity. Our results can also be interpreted in terms of a ‘quasi-particle’, representing the excitation of the system interacting with its surroundings. A lifetime and an energy can be associated with this quasi-particle. This lifetime appears as an irreversible process occurring due to the interaction with the stochastic impurity.