Introduction à une théorie des systèmes composites : exemples simples de matériaux lamellaires

Akjouj, Abdellatif

doi:10.1051/anphys:01993001805036300

Cited by 20 publications

(11 citation statements)

References 82 publications

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“…The similarities between the behavior of spin chains and harmonic atomic chains is a well-known fact. It is based on the similarities between discrete Schrodinger equation for the amplitude aðX Þ, (13), and the equation of motion of the atomic oscillation uðnÞ. In this section, we shall try to speculate on some similarities between 1D spin systems and harmonic chains.…”

Section: Atomic Chainsmentioning

confidence: 99%

Spin excitations on finite lattices and the discrete Fourier transform

Cojocaru

Barsan

Ceulemans

2006

Journal of Magnetism and Magnetic Materials

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Section: Atomic Chainsmentioning

confidence: 99%

Spin excitations on finite lattices and the discrete Fourier transform

Cojocaru

Barsan

Ceulemans

2006

Journal of Magnetism and Magnetic Materials

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“…taking the summation in X) indeed reproduces the function in the l.h.s. With (19) one also finds another useful result of DFT (17):…”

Section: Original Papermentioning

confidence: 99%

“…(32) and the transformation properties (19). It is possible that these amplitudes be different from the Bethe ansatz solution, as is the case of the Heisenberg ring.…”

Section: Chain With Boundary Fieldsmentioning

confidence: 99%

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Green's function and excitation spectrum of finite lattices

Cojocaru

Barsan

Ceulemans

2006

Physica Status Solidi (b)

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PACS 71.15. Mb, 75.10.Jm New analytical results are obtained for the Green's function of a finite one-dimensional lattice with nearest neighbor interaction using discrete Fourier transform. The method offers an alternative to the Bethe Ansatz, but does not require any a priori assumption on the form of the wavefunction. This makes it suitable for extensions to nano-ferromagnets of higher dimensions. Solutions of the Heisenberg spin chain with periodic and open boundary conditions are considered as examples.

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“…4 is one dimensional. The transposition of our phonon model to electrons in the tight building approximation is pretty straightforward [11]. It should then prove to be useful in connection with investigations of devices made out of quantum wires.…”

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confidence: 99%

Resonant Phonons in Adsorbates

Rouhani¹,

Zieliński²,

Akjouj³

et al. 1996

Acta Phys. Pol. A

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After a brief review on surface phonons, we focus on resonant phonons in adsorbed thin 1ayers. Such resonances may in general be understood within the substrate bulk band as thin layer modes shiften and broaden by the i n t e r a c t i o n w i t h t h e s u b s t r a t e p h o n o n s . T h e s e r e s o n a n t p h o n o n s a p p e a r a s well-defined peaks in the phonon density of states. Their experimental study started recently by Helium atom scattering spectroscopy. This review will end by a prospective revue done mostly after the presentation of two unpublished results. First the slab resonant phonons may almost be confined in the surface slab even for frequencies falling within the bulk phonon band, if the surface slab is separated from the substrate by a buffer layer. The other prospective unpublished result deals with a model system in which the propagating phonons reach a space point from which they can continue to propagate through two different finite in space channels before reaching again a homogeneous uniform path. Such a system exhibits some frequencies for which the transmission factor vanishes. This phenomenon is related to the resonances associated with the finite additional path offered to the propagation of the phonons.

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Introduction à une théorie des systèmes composites : exemples simples de matériaux lamellaires

Cited by 20 publications

References 82 publications

Spin excitations on finite lattices and the discrete Fourier transform

Spin excitations on finite lattices and the discrete Fourier transform

Green's function and excitation spectrum of finite lattices

Resonant Phonons in Adsorbates

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