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Czasopismo
2007 | 5 | 1 | 91-102
Tytuł artykułu

The oscillatory galvanomagnetic size-effect in multilayered structures

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Within the framework of the modified semi-classical Fuchs-Sondheimer model, we investigated theoretically the electrical resistivity of multilayered structures (MLS) consisting of alternating metallic layers (of different purity and different thicknesses) in a transverse magnetic field as functions of the ratio of the adjacent layer thicknesses and the magnetic field value. We have derived both a general formula (valid at arbitrary values of layer thicknesses) and asymptotic expressions that are valid when metallic layers are thick or thin compared with the electron mean free path. We found a non-monotonic behavior in the resistivity vs. the value of an applied magnetic field. As we demonstrated, this behavior is sensitive to the characteristics of the electron scattering in the interlayer interfaces in low magnetic fields. Moreover, the MLS resistivity oscillates in high magnetic fields with the field value (or with the layer thicknesses). The oscillation includes the harmonics that correspond both to the each layer thicknesses and the total thickness. The intensity of the oscillation is determined by the diffusive electron scattering in the interfaces, and the oscillation amplitude is proportional to the coefficient of the electron transmission through the interlayer interfaces. We have calculated numerically the resistivity in a wide range of fields and layer thicknesses at various values of the parameters of the interface and bulk electron scattering.
Wydawca

Czasopismo
Rocznik
Tom
5
Numer
1
Strony
91-102
Opis fizyczny
Daty
wydano
2007-03-01
online
2006-11-24
Twórcy
  • Physical-Technical Faculty, Sumy State University, 40007, Sumy, Ukraine, dekhtyaruk@mail.ru
Bibliografia
  • [1] E.H. Sondheimer: “The influence of a transverse magnetic field on the conductivity of thin metallic films”, Phys. Rev., Vol. 80, (1950), pp. 401–406. http://dx.doi.org/10.1103/PhysRev.80.401[Crossref]
  • [2] O.A. Panchenko, P.P. Lutsishin and S.V. Sologub: “Galvanomagnetic size studies of metallic surface processes”, Progr. Surface Sci., Vol. 69, (2002), pp. 19–291.
  • [3] V.G. Peschansky: “Kinetic size effects in metals in a magnetic field” Sov. Sci. Rev. A. Phys., Vol. 16, (1992), pp. 1–112.
  • [4] K. Fuchs: “The conductivity of thin metallic films according to the electron theory of metals”, Proc. Cambr. Phil. Soc., ser. A, Vol. 34, (1938), pp. 100–108. http://dx.doi.org/10.1017/S0305004100019952[Crossref]
  • [5] E.H. Sondheimer: “The mean free path of electrons in metals” Adv. Phys., Vol. 1, (1952), pp. 1–42. http://dx.doi.org/10.1080/00018735200101151[Crossref]
  • [6] I.M. Lifshits, M.Ya. Azbel and M.I. Kaganov: Electron theory of metals, Consultans Bureau, New York, 1973, pp. 1–410.
  • [7] V.V. Ustinov: “Contribution of flat defects in electrical resistivity of metals”, Fiz. Met. Metalloved., Vol. 49, (1980), pp. 31–38.
  • [8] M.I. Kaganov and V.B. Fiks: “To the theory of electromechanical forces in metals”, Sov. Phys. JETF, Vol. 46, (1977), pp. 393–399.
  • [9] L.V. Dekhtyaruk, Yu.A. Kolesnichenko and V.G. Peschansky: “Kinetic phenomena in metallic multilayers”, Vol. 20, Phys. Rev., (2004), pp. 3–113.
  • [10] L.V. Dekhtyaruk and Yu.A. Kolesnichenko: “Kinetic coefficients of metal multilayers”, Ukr. Fiz. Zh., Vol. 42, (1997), pp. 1094–1101.
  • [11] V.L. Gurevich “Oscillations of the conductivity of metallic films in magnetic fields”, Sov. Phys. JETP, Vol. 35, (1958), pp. 668–677.
  • [12] O.V. Kirichenko and Yu.A. Kolesnichenko: “Oscillatory dependence of the magnetoresistance of thin bicrystalline plates”, Sov. J. Low Temp. Phys., Vol. 8, (1982), pp. 138–146.
  • [13] A.B. Pippard: “The anomalous skin effect in anisotropic metals”, Proc. Roy. Soc, Vol. 224, (1954), pp. 273–282.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-006-0038-6
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