Transverse susceptibility and the $T^{3/2}$ law in the dynamic spin-fluctuation theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 2, pp. 358-373 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We obtain explicit expressions for elements of the magnetic susceptibility tensor in the dynamic spin-fluctuation theory. Using an analytic continuation of the Green's functions, we show that the transverse susceptibility has spin-wave poles at low temperatures, yielding the asymptotic $T^{3/2}$ law for magnetization. We derive an explicit expression for the coefficient in the $T^{3/2}$ law based on the multiband Hubbard Hamiltonian and real band structure. We demonstrate the correct low-temperature behavior of magnetization in the example of iron.
Keywords: spin fluctuation, dynamic susceptibility, magnetization, $T^{3/2}$ law, low temperature.
@article{TMF_2014_181_2_a8,
     author = {N. B. Melnikov and B. I. Reser},
     title = {Transverse susceptibility and the~$T^{3/2}$ law in the~dynamic spin-fluctuation theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {358--373},
     year = {2014},
     volume = {181},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_181_2_a8/}
}
TY  - JOUR
AU  - N. B. Melnikov
AU  - B. I. Reser
TI  - Transverse susceptibility and the $T^{3/2}$ law in the dynamic spin-fluctuation theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2014
SP  - 358
EP  - 373
VL  - 181
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2014_181_2_a8/
LA  - ru
ID  - TMF_2014_181_2_a8
ER  - 
%0 Journal Article
%A N. B. Melnikov
%A B. I. Reser
%T Transverse susceptibility and the $T^{3/2}$ law in the dynamic spin-fluctuation theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2014
%P 358-373
%V 181
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2014_181_2_a8/
%G ru
%F TMF_2014_181_2_a8
N. B. Melnikov; B. I. Reser. Transverse susceptibility and the $T^{3/2}$ law in the dynamic spin-fluctuation theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 2, pp. 358-373. http://geodesic.mathdoc.fr/item/TMF_2014_181_2_a8/

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

[2] P. Uait, Kvantovaya teoriya magnetizma, Mir, M., 1985

[3] T. Izuyama, D. J. Kim, R. Kubo, J. Phys. Soc. Japan, 18:7 (1963), 1025–1042 | DOI | Zbl

[4] J. Hubbard, Phys. Rev. B, 19:5 (1979), 2626–2636 | DOI

[5] H. Hasegawa, J. Phys. Soc. Japan, 49:1 (1980), 178–188 | DOI

[6] N. B. Melnikov, B. I. Reser, V. I. Grebennikov, J. Phys.: Condens. Matter, 23:27 (2011), 276003, 11 pp. | DOI

[7] A. I. Lichtenstein, M. I. Katsnelson, G. Kotliar, Phys. Rev. Lett., 87:6 (2001), 067205, 4 pp. | DOI

[8] R. L. Stratonovich, Dokl. AN SSSR, 115:6 (1957), 1097–1100 | Zbl

[9] J. Hubbard, Phys. Rev. Lett., 3:2 (1959), 77–78 | DOI

[10] B. I. Reser, N. B. Melnikov, J. Phys.: Condens. Matter, 20:28 (2008), 285205, 10 pp. | DOI

[11] A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinskii, Metody kvantovoi teorii polya v statisticheskoi fizike, Fizmatgiz, M., 1962 | MR | MR | Zbl

[12] H. Bruus, K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics, OUP, Oxford, 2004

[13] F. Bloch, Z. Phys., 61:3–4 (1930), 206–219 | DOI | Zbl

[14] T. Moriya, A. Kawabata, J. Phys. Soc. Japan, 35:3 (1973), 669–676 | DOI

[15] I. E. Dzyaloshinskii, P. S. Kondratenko, ZhETF, 70:5 (1976), 1987–2005

[16] F. J. Dyson, Phys. Rev., 102:5 (1956), 1217–1230 ; 1230–1244 | DOI | MR | Zbl | DOI | Zbl

[17] J. Crangle, G. M. Goodman, Proc. Roy. Soc. London Ser. A, 321:1547 (1971), 477–491 | DOI

[18] N. B. Melnikov, B. I. Reser, V. I. Grebennikov, J. Phys. A: Math. Theor., 43:19 (2010), 195004, 19 pp. | DOI | Zbl

[19] N. B. Melnikov, B. I. Rezer, Tr. MIAN, 271 (2010), 159–180 | DOI | MR | Zbl

[20] Zh. Zinn-Zhyusten, Kontinualnyi integral v kvantovoi mekhanike, Fizmatlit, M., 2006 | MR | Zbl

[21] L. D. Landau, E. M. Lifshits, Teoreticheskaya fizika, v. V, Statisticheskaya fizika. Chast 1, Nauka, M., 1976 | MR

[22] D. M. Edwards, R. B. Muniz, J. Phys. F: Met. Phys., 15:11 (1985), 2339–2356 | DOI

[23] J. Donohue, The Structure of the Elements, John Wiley Sons, New York, 1974

[24] A. T. Aldred, P. H. Froehle, Internat. J. Magn., 2 (1972), 195–203

[25] B. I. Reser, J. Phys.: Condens. Matter, 11:25 (1999), 4871–4885 | DOI

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

[27] P. C. Riedi, Phys. Rev. B, 8:11 (1973), 5243–5246 | DOI

[28] R. Pauthenet, J. Appl. Phys., 53:11 (1982), 8187–8192 | DOI