On the symmetry of magnetic structures in terms of the fibre bundles

• Autorzy: Jerzy Warczewski , Paweł Gusin , Tamara Śliwińska , Grzegorz Urban , Józef Krok-Kowalski
• Języki publikacji: EN

Abstrakty

EN

The paper concerns the application of the fibre bundle approach to the description of the magnetic structures and their symmetry groups. Hence the explicit formulas describing both the variety of magnetic structures and their symmetry groups have been derived. The assumption was made that the bundle sections correspond to magnetizations of the separate crystal planes multiplied by a certain Gaussian factor defined in ℝ3, the last factor making the problem continuous and more physical.

Słowa kluczowe

EN

fibre bundles; magnetic structures; symmetry groups

• Czasopismo: Open Physics
• Rocznik: 2007
• Tom: 5
• Numer: 3
• Strony: 377-384

Daty

wydano

2007-09-01

online

2007-05-13

Twórcy

autor

Jerzy Warczewski

• Institute of Physics, University of Silesia, ul. Uniwersytecka 4, PL-40007, Katowice, Poland,

autor

Paweł Gusin

• Institute of Physics, University of Silesia, ul. Uniwersytecka 4, PL-40007, Katowice, Poland

autor

Tamara Śliwińska

• Institute of Physics, University of Silesia, ul. Uniwersytecka 4, PL-40007, Katowice, Poland

autor

Grzegorz Urban

• Institute of Physics, University of Silesia, ul. Uniwersytecka 4, PL-40007, Katowice, Poland

autor

Józef Krok-Kowalski

• Institute of Physics, University of Silesia, ul. Uniwersytecka 4, PL-40007, Katowice, Poland

Bibliografia

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• [3] D.B. Litvin: “Spin Point Groups”, Acta Crystallogr. A, Vol. 33, (1977), pp. 279–287. http://dx.doi.org/10.1107/S0567739477000709[Crossref]
• [4] V.A. Koptsik and I.N. Kotzev: “K teorii i klassifikatsii grupp tsvetnoj simmetrii I. P-simmetriya” (“On the Theory and Classification of Color Symmetry Groups. I. Psymmetry”) [In Russian], In: Communications of the Joint Inst. for Nuclear Research, Dubna, 1974, pp. 4–8067.
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• [8] D.B. Litvin: “Wreath groups”, Physica, Vol. 101A, (1980), pp. 339–350. [Crossref]
• [9] D.B. Litvin: “Wreath products and the symmetry of incommensurate crystals”, Ann. Israel Phys. Soc., Vol. 3, (1980), pp. 371–374.
• [10] D. B. Litvin: “Wreath groups-symmetry of crystals with structural distortions”, Phys. Rev. B, Vol. 21, (1980), pp. 3184–3192. http://dx.doi.org/10.1103/PhysRevB.21.3184[Crossref]
• [11] R. Sulanke and P. Wintgen: Differentialgeometrie und Faserbündel, Deutscher Verlag der Wissenschaften, Berlin, 1972.
• [12] P. Gusin and J. Warczewski: “On the relations between magnetization and topological invariants of the physical system”, J. Magn. Magn. Mater., Vol. 281, (2004), pp. 178–187. http://dx.doi.org/10.1016/j.jmmm.2004.04.102[Crossref]

Identyfikatory

DOI

10.2478/s11534-007-0023-8