Abstract
A novel approach to electronic correlations and magnetism of crystals based on the realistic electronic structure calculations is reviewed. In its simplest form it is a combination of the “local density approximation” (LDA) and the dynamical mean field theory (DMFT) approaches. Using numerically exact QMC solution of effective DMFT multi-orbital quantum-impurity problem, a successful description of the electronic structure and finite temperature magnetism of transition metals has been obtained. We discuss a simplified perturbation LDA+DMFT scheme which combined the T-matrix and fluctuation-exchange approximation (TM-FLEX). We end with a discussion of cluster generalization of the non-local DMFT scheme and its applications to the magnetism and superconductivity of the high-T c superconductors.
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References
P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964);
W. Kohn and L. J. Sham, 140, A1133 (1965).
R. O. Jones and O. Gunnarsson, Rev. Mod. Phys. 61, 689 (1989).
A. Georges, G. Kotliar, W. Krauth, and M. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
V. I. Anisimov, A. I. Poteryaev, M. A. Korotin, A. O. Anokhin, and G. Kotliar, J. Phys.: Condens. Matter 9, 7359 (1997).
A. I. Lichtenstein and M. I. Katsnelson, Bull. Am. Phys. Soc. 42, 573 (1997);
A. I. Lichtenstein and M. I. Katsnelson, Phys. Rev. B 57, 6884 (1998).
M. I. Katsnelson and A. I. Lichtenstein, J. Phys.: Condens. Matter 11, 1037 (1999).
M. I. Katsnelson and A. I. Lichtenstein, Phys. Rev. B 61, 8906 (2000).
R. Chitra and G. Kotliar, Phys. Rev. B 62, 12715 (2000).
K. Held, L. A. Nekrasov, N. Blumer, V. I. Anisimov, and D. Vollhardt, Int. J. Modern Phys. B 15, 2611 (2001).
A. I. Lichtenstein, M. I. Katsnelson, and G. Kotliar, Phys. Rev. Lett. 87, 067205 (2001).
S. Y. Savrasov, G. Kotliar, and E. Abrahams, Nature 410, 793 (2001).
A. I. Lichtenstein and M. I. Katsnelson, in: Band Ferromagnetism. Ground State and Finite-Temperature Phenomena (Lecture Notes in Physics, Springer, Berlin, 2001 ), ed. by K. Baberschke, M. Donath, and W. Nolting, p. 75.
S. Y. Savrasov and G. Kotliar, cond-mat/0106308.
A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics ( Dover, New York, 1975 ).
R. Fukuda, T. Kotani, and S. Yokojima, Prog. Theor. Phys. 92, 833 (1994);
R. Fukuda, M. Komachiya, S. Yokojima, Y. Suzuki, K. Okumura, and T. Inagaki, Prog. Theor. Phys. Suppl. 121, 1 (1996).
M. Valiev and G. Fernando, Phys. Lett. A 227, 265 (1997).
H. Kajueter, Rutgers University Ph.D. Thesis (1996);
H. Kajueter and G. Kotliar, Rutgers University preprint (1996);
Q. Si and J.L. Smith, Phys. Rev. Lett 77, 3391 (1997);
R. Chitra and G. Kotliar, Phys. Rev. Lett. 84, 3500 (2000).
S. Pankov and G. Kotliar, cond-mat/0112083.
P. Chandra, P Coleman, and A. Larkin, J. Phys.: Condens. Matter 2, 7933 (1990).
A. Khurrana, Phys. Rev. Lett., to be published.
M. H. Hettler, S. Mukherjee, M. Jarrell, and H. R. Krishnamurthy, Phys. Rev. B 61, 12739 (2000);
T. Maier, M. Jarrell, T. Pruschke, and J. Keller, Phys. Rev. Lett. 85, 1524 (2000).
A. I. Lichtenstein and M. I. Katsnelson, Phys. Rev. B 62, R9283 (2000).
G. Kotliar, S. Y. Savrasov, G. Palsson, and G. Biroli, Phys. Rev. Lett. 87, 186401 (2001)
V. V. Dobrovitski, M. I. Katsnelson, and B. N. Harmon, J. Magn. Magn. Mater. 221, L235 (2000); cond-mat/0111324.
D. N. Zubarev, Nonequilibrium Statistical Thermodynamics ( Consultant Bureau, New York, 1974 ).
L. D. Faddeev and A. A. Slavnov, Gauge Fields: Introduction to Quantum Theory ( Benjamin, Reading Mass., 1980 ).
J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960);
see also G. M. Carneiro and C. J. Pethick, Phys. Rev. B 11, 1106 (1975).
A. R. Mackintosh and O. K. Andersen, in: Electron at the Fermi Surface, ed.M. Springford (Univ. Press, Cambridge, 1980 ), p. 145.
A. I. Liechtenstein, M. I. Katsnelson, V. P. Antropov, and V. A. Gubanov, J. Magn. Magn. Mater. 67, 65 (1987).
C. Herring Magnetism,vol. 4 (Academic Press, New York, 1966), ed. by G. T. Rado and H. Suhl.
F. Aryasetiawan and K. Karlsson, Phys. Rev. B 60, 7419 (1999).
G. M. Stocks, B. Ujfalussy, X. Wang, Y. Wang, D. M. C. Nicholson, W. A. Shelton, A. Canning, and B. L. Gyorffy, Philos. Mag. B 78, 665 (1998).
S. V. Vonsovsky, Magnetism ( Wiley, New York, 1974 ).
T. Moriya, Spin Fluctuations in Itinerant Electron Magnetism ( Springer, Berlin, 1985 ).
A. Liebsch, Phys. Rev. B 23, 5203 (1981).
G. Treglia, F. Ducastelle, and D. Spanjaard, J. Phys. (Paris) 43, 341 (1982).
F. Manghi, V. Bellini, and C. Arcangelli, Phys. Rev. B 56, 7149 (1997);
F. Manghi, V. Bellini, J. Osterwalder, T. J. Kreutz, P. Aebi, and C. Arcangeli Phys. Rev. B 59, R10409 (1999).
W. Nolting, S. Rex, and S. Mathi Jaya, J. Phys.: Condens. Matter 9, 1301 (1987).
M. M. Steiner, R. C. Albers, and L. J. Sham, Phys. Rev. B 45, 13272 (1992).
O. K. Andersen and O. Jepsen, Phys. Rev. Lett. 53, 2571 (1984).
T. Bandyopadhyay and D. D. Sarma, Phys. Rev. B 39, 3517 (1989).
J. E. Hirsch, Phys. Rev. B 28, 4059 (1983).
J. E. Hirsch and R. M. Fye, Phys. Rev. Lett. 25, 2521 (1986).
K. Takegahara, J. Phys. Soc. Japan 62, 1736 (1992);
M. J. Rozenberg, Phys. Rev. B 55, R4855, (1997).
M. Jarrell and J. E. Gubernatis, Physics Reports 269, 133 (1996).
M. Iwan, F. J. Himpsel, and D. E. Eastman, Phys. Rev. Lett. 43, 1829 (1979).
W. Eberhardt and E. W. Plummer, Phys. Rev. B 21, 3245 (1980).
K. N. Altmann, D. Y. Petrovykh, G. J. Mankey, N. Shannon, N. Gilman, M.. Hochstrasser, R. F. Willis, and F. J. Himpsel, Phys. Rev. B 61, 15661 (2000).
N. M. Rosengaard and B. Johansson, Phys. Rev. B 55, 14975 (1997).
S. V. Halilov, H. Eschrig, A. Y. Perlov, and P. M. Oppeneer, Phys. Rev. B 58, 293 (1998).
V. P. Antropov, M. I. Katsnelson, B. N. Harmon, M. van Schilfgaarde, and D. Kusnezov, Phys. Rev. B 54, 1019 (1996).
M. Pajda, J. Kudrnovsky, I. Turek, V. Drchal, and P. Bruno, Phys. Rev. B 64, 174402 (2001).
J. B. Staunton and B. L. Gyorffy, Phys. Rev. Lett. 69, 371 (1992).
Ferromagnetic materials, vol. 1, ed. by E. P. Wolfarth (North-Holland, Amsterdam, 1986).
V. Yu. Irkhin and M. I. Katsnelson, Physics - Uspekhi 37, 659 (1994).
E. Kisker, K. Schröder, M. Campagna, and W. Gudat, Phys. Rev. Lett. 52, 2285 (1984);
A. Kakizaki, J. Fujii, K. Shimada, A. Kamata, K. Ono, K.H. Park, T. Kinoshita, T. Ishii, and H. Fukutani, Phys. Rev. Lett. 72, 2781 (1994).
V. Yu. Irkhin and M. I. Katsnelson, Physics - Uspekhi 37, 659 (1994).
E. Kisker, K. Schröder, M. Campagna, and W. Gudat, Phys. Rev. Lett. 52, 2285 (1984);
A. Kakizaki, J. Fujii, K. Shimada, A. Kamata, K. Ono, K.H. Park, T. Kinoshita, T. Ishii, and H. Fukutani, Phys. Rev. Lett. 72, 2781 (1994).
H. A. Mook and J. W. Lynn, J. Appl. Phys. 57, 3006 (1985).
B. Sinkovic, L. H. Tjeng, N. B. Brookes, J. B. Goedkoop, R. Hesper, E. Pellegrin, F. M. F. de Groot, S. Altieri, S. L. Hulbert, E. Shekel, and G. A. Sawatzky, Phys. Rev. Lett. 79, 3510 (1997).
T. J. Kreutz, T. Greber, P. Aebi, and J. Osterwalder, Phys. Rev. B 58, 1300 (1998).
N. E. Bickers and D. J. Scalapino, Ann. Phys. (N.Y.) 193, 206 (1989).
V. M. Galitskii, ZhETF 34, 151, 1011 (1958)
J. Kanamori, Prog. Theor. Phys. 30, 275 (1963).
V. I. Anisimov, F. Aryasetiawan, and A. I. Lichtenstein, J. Phys.: Condens. Matter 9, 767 (1997).
T. Izuyama, D. Kim, and R. Kubo, J. Phys. Soc. Japan 18, 1025 (1963).
H. Kajueter and G. Kotliar, Phys. Rev. Lett. 77, 131 (1996).
V. V. Mazurenko, A. I. Lichtenstein, M. I. Katsnelson, I. Dasgupta, T. SahaDasgupta, and V. I. Anisimov, cond-mat/0107200.
P.W. Anderson, The Theory of Superconductivity in the High-T T Cuprate Superconductors (Univ. Press, Princeton, 1997 ).
D. J. Scalapino, Physics Reports 251, 1 (1994)
D. J. Scalapino, J. Low Temp. Phys. 117, 179 (1999).
J. Schmalian, D. Pines, and B. Stojkovic, Phys. Rev. Lett. 80, 3839 (1998).
A.G. Loeser, Science 273, 325 (1996);
H. Ding, Nature 382, 51 (1996).
G. Aeppli, T. E. Mason, S. M. Hayden, H. A. Mook, and J. Kulda, Science 278, 1432 (1997);
H. A. Mook, P. C. Dai, S. M. Hayden, G. Aeppli, T. G. Perring, and F. Dogan, Nature 395, 580 (1998).
E. Demler and S.C. Zhang, Nature 396, 733 (1998).
E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).
O.K.Andersen, A. I. Liechtenstein, O. Jepsen, and F. Paulsen, J. Phys. Chem. Solids 56, 1537 (1995).
J. R. Schrieffer, Theory of Superconductivity (Benjamin, New York, 1964 );
S. V. Vonsovsky, Yu. A. Izyumov, and E. Z. Kurmaev, Superconductivity of Transition metals, Their Alloys and Compounds ( Springer, Berlin, 1982 ).
A. Georges, G. Kotliar, and W. Krauth, Z. Phys. B 92, 313 (1993).
G. E. Volovik and L. P. Gor’kov, ZhETF 88, 1412 (1985).
T. Jarlborg, Rep. Prog. Phys. 60, 1305 (1997).
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Lichtenstein, A.I., Katsnelson, M.I., Kotliar, G. (2002). Spectral Density Functional Approach to Electronic Correlations and Magnetism in Crystals. In: Gonis, A., Kioussis, N., Ciftan, M. (eds) Electron Correlations and Materials Properties 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3760-8_4
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