Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 36, Issue 38, Pages 9827-9842Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/36/38/302
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A method is proposed for the calculation of the Floquet-Green function of a general Hamiltonian with harmonic time dependence. We use matrix continued fractions to derive an expression for the 'dynamical effective potential' that can be used to calculate the Floquet-Green function of the system. We demonstrate the formalism for the simple case of a space-periodic (in the tight-binding approximation) Hamiltonian with a defect whose on-site energy changes harmonically with time. We study the local density of states for this system and the behaviour of the localized states as a function of the different parameters that characterize the system.
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