Abstract
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 T3/2 law for magnetization. We derive an explicit expression for the coefficient in the T3/2 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. J. Kim, New Perspectives in Magnetism of Metals, Kluwer, New York (1999).
R. M. White, Quantum Theory of Magnetism, Springer, Berlin (2007).
T. Izuyama, D. J. Kim, and R. Kubo, J. Phys. Soc. Japan, 18, 1025–1042 (1963).
J. Hubbard, Phys. Rev. B, 19, 2626–2636 (1979); 20, 4584–4595 (1979).
H. Hasegawa, J. Phys. Soc. Japan, 49, 178–188, 963–971 (1980).
N. B. Melnikov, B. I. Reser, and V. I. Grebennikov, J. Phys.: Condens. Matter, 23, 276003 (2011).
A. I. Lichtenstein, M. I. Katsnelson, and G. Kotliar, Phys. Rev. Lett., 87, 067205 (2001).
R. L. Stratonovich, Soviet Phys. Dokl., 2, 416–419 (1958).
J. Hubbard, Phys. Rev. Lett., 3, 77–78 (1959).
B. I. Reser and N. B. Melnikov, J. Phys.: Condens. Matter, 20, 285205 (2008).
A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics [in Russian], Fizmatgiz, Moscow (1962); English transl., Dover, New York (1963).
H. Bruus and K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics, Oxford Univ. Press, Oxford (2004).
F. Bloch, Z. Phys., 61, 206–219 (1930).
T. Moriya and A. Kawabata, J. Phys. Soc. Japan, 35, 669–676 (1973).
I. E. Dzyaloshinskii and P. S. Kondratenko, Soviet Phys. JETP, 43, 1036–1045 (1976).
F. J. Dyson, Phys. Rev., 102, 1217–1230, 1230–1244 (1956).
J. Crangle and G. M. Goodman, Proc. Roy. Soc. London Ser. A, 321, 477–491 (1971).
N. B. Melnikov, B. I. Reser, and V. I. Grebennikov, J. Phys. A: Math. Theor., 43, 195004 (2010).
N. B. Melnikov and B. I. Reser, Proc. Steklov Inst. Math., 271, 149–170 (2010).
J. Zinn-Justin, Path Integrals in Quantum Mechanics, Oxford Univ. Press, Oxford (2004).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics [in Russian], Vol. 5, Statistical Physics, Nauka, Moscow (1976); English transl. prev. ed., Pergamon, London (1958).
D. M. Edwards and R. B. Muniz, J. Phys. F: Met. Phys., 15, 2339–2356 (1985).
J. Donohue, The Structure of the Elements, Wiley, New York (1974).
A. T. Aldred and P. H. Froehle, Internat. J. Magn., 2, 195–203 (1972).
B. I. Reser, J. Phys.: Condens. Matter, 11, 4871–4885 (1999).
V. L. Moruzzi, J. F. Janak, and A. R. Williams, Calculated Electronic Properties of Metals, Pergamon, New York (1978).
P. C. Riedi, Phys. Rev. B, 8, 5243–5246 (1973).
R. Pauthenet, J. Appl. Phys., 53, 8187–8192 (1982).
Author information
Authors and Affiliations
Corresponding author
Additional information
Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 181, No. 2, pp. 358–373, November, 2014.
Rights and permissions
About this article
Cite this article
Melnikov, N.B., Reser, B.I. Transverse susceptibility and the T3/2 law in the dynamic spin-fluctuation theory. Theor Math Phys 181, 1435–1447 (2014). https://doi.org/10.1007/s11232-014-0224-4
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11232-014-0224-4