Spin–density correlations and magnetic neutron scattering in ferromagnetic metals
Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 1, pp. 151-171 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We obtain expressions for the spatial spin-density correlator and for effective and local magnetic moments in the dynamic spin-fluctuation theory. We derive formulas for the magnetic scattering cross section in the theory of itinerant electron magnets. We calculate magnetic characteristics of bcc Fe in the paramagnetic state and compare our numerical results with the polarized neutron scattering experiment. We show that the short-range order in bcc Fe persists up to a temperature much higher than the Curie temperature but at rather small distances (up to 5 Å).
Keywords: spin-density correlation, spin fluctuation, dynamic susceptibility, polarized neutron scattering, short-range order, ferromagnetic metal.
@article{TMF_2017_191_1_a9,
     author = {N. B. Melnikov and G. V. Paradezhenko and B. I. Reser},
     title = {Spin{\textendash}density correlations and magnetic neutron scattering in ferromagnetic metals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {151--171},
     year = {2017},
     volume = {191},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a9/}
}
TY  - JOUR
AU  - N. B. Melnikov
AU  - G. V. Paradezhenko
AU  - B. I. Reser
TI  - Spin–density correlations and magnetic neutron scattering in ferromagnetic metals
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2017
SP  - 151
EP  - 171
VL  - 191
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a9/
LA  - ru
ID  - TMF_2017_191_1_a9
ER  - 
%0 Journal Article
%A N. B. Melnikov
%A G. V. Paradezhenko
%A B. I. Reser
%T Spin–density correlations and magnetic neutron scattering in ferromagnetic metals
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2017
%P 151-171
%V 191
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a9/
%G ru
%F TMF_2017_191_1_a9
N. B. Melnikov; G. V. Paradezhenko; B. I. Reser. Spin–density correlations and magnetic neutron scattering in ferromagnetic metals. Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 1, pp. 151-171. http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a9/

[1] T. Moriya, Spinovye fluktuatsii v magnetikakh s kollektivizirovannymi elektronami, Mir, M., 1988

[2] S. V. Maleev, “Rasseyanie polyarizovannykh neitronov v magnetikakh”, UFN, 172:6 (2002), 617 | DOI | DOI | MR

[3] J. Schweizer, “Polarized neutrons and polarization analysis”, Neutron Scattering from Magnetic Materials, ed. T. Chatterji, Elsevier, Amsterdam, 2006, 155–212

[4] N. Plakida, High-Temperature Cuprate Superconductors: Experiment, Theory, and Applications, Springer Series in Solid-State Sciences, 166, Springer, Berlin, 2010 | DOI

[5] P. J. Brown, H. Capellmann, J. Déportes, D. Givord, K. R. A. Ziebeck, “Observations of ferromagnetic correlations at high temperatures in paramagnetic iron”, J. Magn. Magn. Mater., 30:2 (1982), 243–248 | DOI

[6] P. J. Brown, H. Capellmann, J. Déportes, D. Givord, K. R. A. Ziebeck, “Spatial correlation of magnetisation in the paramagnetic phases of iron and nickel”, J. Magn. Magn. Mater., 31–34:1 (1983), 295–296 | DOI

[7] J. Hubbard, “Panel discussion on itinerant electron magnetism”, Physics of Transition Metals (University of Leeds, 18–22 August, 1980), Conference Series (Institute of Physics), 55, ed. P. Rhodes, IOP, London, 1981, 669–687

[8] N. B. Melnikov, B. I. Reser, V. I. Grebennikov, “Extended dynamic spin-fluctuation theory of metallic magnetism”, J. Phys.: Condens. Matter, 23:27 (2011), 276003, 11 pp. | DOI

[9] N. B. Melnikov, B. I. Reser, “Short-range order above the Curie temperature in the dynamic spin-fluctuation theory”, J. Magn. Magn. Mater., 397 (2016), 347–351 | DOI

[10] G. Shirane, P. Böni, J. P. Wicksted, “Paramagnetic scattering from Fe(3.5 at. $\%$ Si): Neutron measurements up to the zone boundary”, Phys. Rev. B, 33:3 (1986), 1881–1885 | DOI

[11] H. Hasegawa, “Wave vector-dependent spin susceptibility of iron above the Curie temperature”, J. Phys. F: Met. Phys., 13:12 (1983), 2655–2675 | DOI

[12] V. I. Grebennikov, “Spin-density correlations in paramagnetic iron”, J. Magn. Magn. Mater., 84:1–2 (1990), 59–68 | DOI

[13] V. I. Grebennikov, “Dynamical theory of thermal spin fluctuations in metallic ferromagnets”, Phys. Solid State, 40:1 (1998), 79–86 | DOI

[14] A. I. Lichtenstein, M. I. Katsnelson, G. Kotliar, “Finite-Temperature magnetism of transition metals: an ab initio dynamical mean-field theory”, Phys. Rev. Lett., 87:6 (2001), 067205, 4 pp. | DOI

[15] A. V. Ruban, S. Khmelevskyi, P. Mohn, B. Johansson, “Temperature-induced longitudinal spin fluctuations in Fe and Ni”, Phys. Rev. B, 75:5 (2007), 054402, 7 pp. | DOI

[16] Y. Kakehashi, M. A. R. Patoary, “First-principles dynamical coherent-potential approximation approach to the ferromagnetism of Fe, Co, and Ni”, J. Phys. Soc. Japan, 80:3 (2011), 034706, 10 pp. | DOI

[17] P.-W. Ma, S. L. Dudarev, “Longitudinal magnetic fluctuations in Langevin spin dynamics”, Phys. Rev. B, 86:5 (2012), 054416, 10 pp. | DOI

[18] L. Van Hove, “Time-dependent correlations between spins and neutron scattering in ferromagnetic crystals”, Phys. Rev., 95:6 (1954), 1374–1384 | DOI | Zbl

[19] R. J. Elliott, “Theory of neutron scattering by conduction electrons in a metal and on the collective-electron model of a ferromagnet”, Proc. Roy. Soc. London Ser. A, 235:1202 (1956), 289–304 | DOI | Zbl

[20] T. Izuyama, D.-J. Kim, R. Kubo, “Band theoretical interpretation of neutron diffraction phenomena in ferromagnetic metals”, J. Phys. Soc. Japan, 18:7 (1963), 1025–1042 | DOI | Zbl

[21] D.-J. Kim, New Perspectives in Magnetism of Metals, Kluwer, New York, 1999

[22] R. Uait, Kvantovaya teoriya magnetizma, Mir, M., 1985

[23] N. B. Melnikov, B. I. Rezer, “Poperechnaya vospriimchivost i zakon $T^{3/2}$ v dinamicheskoi teorii spinovykh fluktuatsii”, TMF, 181:2 (2014), 358–373 | DOI | DOI | Zbl

[24] B. I. Rezer, V. I. Grebennikov, “Temperaturnaya zavisimost magnitnykh svoistv ferromagnitnykh metallov s uchetom dinamiki i nelokalnosti spinovykh fluktuatsii”, FMM, 85:1 (1998), 30–42

[25] G. L. Squires, Introduction to the Theory of Thermal Neutron Scattering, Dover, New York, 1996

[26] K. R. A. Ziebeck, P. J. Brown, “Measurement of the paramagnetic response function in the weak itinerant magnetic compound MnSi using polarised neutron scattering”, J. Phys. F: Met. Phys., 10:9 (1980), 2015–2024 | DOI

[27] J. Crangle, G. M. Goodman, “The magnetization of pure iron and nickel”, Proc. Roy. Soc. London Ser. A, 321:1547 (1971), 477–491 | DOI

[28] V. L. Moruzzi, J. F. Janak, A. R. Williams, Calculated Electronic Properties of Metals, Pergamon, New York, 1978

[29] B. I. Reser, “Calculation of the magnetic properties of Fe, Co and Ni with account taken of the real band structure and spin fluctuations”, J. Phys.: Condens. Matter, 11:25 (1999), 4871–4885 | DOI

[30] E. P. Wohlfarth, “Iron, cobalt, nickel”, Ferromagnetic Materials. A Handbook on the Properties of Magnetically Ordered Substances, v. 1, Handbook of Magnetic Materials, ed. E. P. Wohlfarth, North-Holland, Amsterdam, 1980, 1–70 | DOI