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1

Magnetic interlayer coupling in the superlattices with rough interfaces

Jaroszewicz R.

Prace Naukowe. Chemia / Wyższa Szkoła Pedagogiczna w Częstochowie

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2001

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Vol. 5

103--107

2

Interlayer coupling in magnetic superlattices with self-similar interfaces

Bąk Z., Gruhn W., Jaroszewicz R.

Electron Technology

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2000

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Vol. 33, No. 3

427-429

EN

In the metallic superlattices interface roughness and restraint conditions imposed on the motion of free electrons may result in nonintegral dimensionality of the system. In our contribution we will derive formulae for the interlayer coupling in a superlattices with self-similar interfaces, assuming, that the spectral dimension of electron gas within the metallic spacers is integral.

3

Vibrational states in a system of non-integral dimension

Gruhn W., Bąk Z., Jaroszewicz R.

Electron Technology

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1998

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Vol. 31, No. 3/4

369-372

EN

We give theoretical description of vibrational of vibronic excitations in the elastic system which exhibits fractional dimension. Using the fractional calculus formalism, we find eigenfunctons and eigenvalues of elementary vibronic excitation in a elastic system of non-integral dimension. Comparison with the prperties of the conventional integer dimension systems are well as applications in a superlattices in a superlattices are widely discussed.

4

RKKY interaction in the magnetic system of half-integer dimension

Bąk Z., Jaroszewicz R., Gruhn W.

Electron Technology

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1998

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Vol. 31, No. 3/4

381-383

EN

Experimental results shown that some metallic superlatices and overlayers exhabit dimensional cross-over behave as system of fractional dimension, when the layer thickness is increased. We derive formulae for thr RKKY-reminiscent interaction between localised magnetic moments in the metalic system of fractional dimension.

5

Magnetic interlayer coupling in the position mass dependet system

Jaroszewicz R., Bąk Z.

Electron Technology

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1998

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Vol. 31, No. 3/4

384-387

EN

The magnetic interlayer interaction in the magnetic superlattices for the case of variable effective mass and imperfect interface is considered. We calculate the influence of the effective mass on the oscillation period. Moreover, we have derived formulae for the coupling constant in the case when the effective potential within nonmagnetic spacer is position dependent.