D F Martinez 2003 J. Phys. A: Math. Gen. 36 9827 doi:10.1088/0305-4470/36/38/302
D F Martinez
Show affiliationsA 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.
82D25 Crystals (For crystallographic group theory, see 20H15)
Issue 38 (26 September 2003)
Received 2 July 2003, in final form 31 July 2003
Published 10 September 2003
D F Martinez 2003 J. Phys. A: Math. Gen. 36 9827
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