Ideas by S.V. Vonsovsky and Modern Model Treatment of Magnetism

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Abstract:

A review of fundamental works by Shubin and Vonsovsky on the formulation of the polar and s–d(f) exchange models is given. Their ideas are compared with subsequent developments in the theory of magnetism in d- and f-metals and their compounds. Modern approaches including various slave-boson and slave-fermion representations, formation of exotic quasiparticles etc. are discussed. Internal connections between different many-electron models (the Heisenberg, Hubbard, t–J, Anderson Hamiltonians) are presented. Description of anomalous rare-earth and actinide compounds (Kondo lattices, systems with heavy fermions and non-Fermi-liquid behavior) within the framework of the s–d(f) exchange model and related models is considered.

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Solid State Phenomena (Volumes 168-169)

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3-11

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December 2010

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[1] S. Schubin and S. Wonsowsky: Proc. Roy. Soc. A 145, 159 (1934); Zs. Sow. Phys. 7, 292 (1935); 10, 348 (1936).

Google Scholar

[2] S. V. Vonsovsky: Zh. Eksp. Theor. Fiz. 16, 981 (1946).

Google Scholar

[3] J. Hubbard: Proc. Roy. Soc. A 276, 238 (1963).

Google Scholar

[4] J. Hubbard: Proc. Roy. Soc. A 285, 542 (1965).

Google Scholar

[5] V. Yu. Irkhin and Yu. P. Irkhin: phys. stat. sol. (b) 183, 9 (1994); Electronic structure, correlation effects and properties of d- and f-metals and their compounds. Cambridge International Science Publishing, (2007).

Google Scholar

[6] V. Yu. Irkhin: Phys. Rev. B 57, 13375 (1998).

Google Scholar

[7] S. V. Vonsovsky, M. I. Katsnelson and A. V. Trefilov: Phys. Met. Metallogr. 76, 343 (1993).

Google Scholar

[8] P. W. Anderson: Int. J. Mod. Phys. B4, 181 (1990).

Google Scholar

[9] G. Kotliar and A. E. Ruckenstein: Phys. Rev. Lett. 57, 1362 (1986).

Google Scholar

[10] Y. R. Wang: Phys. Rev. B 51, 234 (1995).

Google Scholar

[11] P. Coleman, C. Pepin and J. Hopkinson: Phys. Rev. B 63, 140411R (2001).

Google Scholar

[12] S. V. Vonsovsky and E.A. Turov: Zh. Eksp. Theor. Fiz. 24, 419 (1953).

Google Scholar

[13] M. I. Katsnelson, V. Yu. Irkhin, L. Chioncel, A. I. Lichtenstein and R. A. de Groot: Rev. Mod. Phys. 80, 315 (2008).

DOI: 10.1103/revmodphys.80.315

Google Scholar

[14] Y. Ono, T. Matsuura and Y. Kuroda: Physica C 159, 878 (1989).

Google Scholar

[15] P. Coleman and N. Andrei: J. Phys.: Condens. Matter. 1, 4057 (1989).

Google Scholar

[16] S. Doniach: Physica B91, 231 (1977).

Google Scholar

[17] N. B. Brandt and V. V. Moshchalkov: Adv. Phys. 33, 373 (1984).

Google Scholar

[18] G. R. Stewart: Rev. Mod. Phys. 56, 755 (1984).

Google Scholar

[19] V. Yu. Irkhin and M. I. Katsnelson: Phys. Rev. B 56, 8109 (1997); B 61, 14640 (2000).

Google Scholar

[20] G. R. Stewart: Rev. Mod. Phys. 73, 797 (2001); 78, 743 (2006).

Google Scholar