Exact dynamical mean-field theory of the Falicov-Kimball model

J. K. Freericks; V. Zlatić

doi:10.1103/RevModPhys.75.1333

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Exact dynamical mean-field theory of the Falicov-Kimball model

J. K. Freericks^* and V. Zlatić^†

J. K. Freericks^*

Department of Physics, Georgetown University, Washington, D.C. 20057, USA

V. Zlatić^†

Institute of Physics, Bijenička cesta 46, P.O. Box 304, HR-10001, Zagreb, Croatia

^*Electronic address: freericks@physics.georgetown.edu; URL: http://www.physics.georgetown.edu/∼jkf
^†Electronic address: zlatic@ifs.hr

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Rev. Mod. Phys. 75, 1333 – Published 30 October, 2003

DOI: https://doi.org/10.1103/RevModPhys.75.1333

Abstract

The Falicov-Kimball model was introduced in 1969 as a statistical model for metal-insulator transitions; it includes itinerant and localized electrons that mutually interact with a local Coulomb interaction and is the simplest model of electron correlations. It can be solved exactly with dynamical mean-field theory in the limit of large spatial dimensions, which provides an interesting benchmark for the physics of locally correlated systems. In this review, the authors develop the formalism for solving the Falicov-Kimball model from a path-integral perspective and provide a number of expressions for single- and two-particle properties. Many important theoretical results are examined that show the absence of Fermi-liquid features and provide a detailed description of the static and dynamic correlation functions and of transport properties. The parameter space is rich and one finds a variety of many-body features like metal-insulator transitions, classical valence fluctuating transitions, metamagnetic transitions, charge-density-wave order-disorder transitions, and phase separation. At the same time, a number of experimental systems have been discovered that show anomalies related to Falicov-Kimball physics [including ${YbInCu}_{4},$ ${EuNi}_{2} ({Si}_{1 - x} {Ge}_{x})_{2},$ ${NiI}_{2},$ and ${Ta}_{x} N] .$

References (184)

Allen, J. W., and R. M. Martin, 1982, Phys. Rev. Lett. 49, 1106.
Allub, R., and B. Alascio, 1996, Solid State Commun. 99, 66.
Allub, R., and B. Alascio, 1997, Phys. Rev. B 55, 14 113.
Altshuler, T., M. Bresler, M. Schlott, B. Elschner, and E. Graty, 1995, Z. Phys. B: Condens. Matter 99, 57.
Ambegaokar, V., and A. Baratoff, 1963, Phys. Rev. Lett. 10, 486.
Anderson, P. W., 1959, J. Phys. Chem. Solids 11, 26.
Ashcroft, N. W., and N. D. Mermin, 1976, Solid State Physics (Holt, Rinehart and Winston, Philadelphia).
Batista, C. D., 2002, Phys. Rev. Lett. 89, 166403.
Baym, G., 1962, Phys. Rev. 127, 1391.
Bergmann, G., and D. Rainer, 1974, Solid State Commun. 14, 97.
Blawid, S., and A. J. Millis, 2000, Phys. Rev. B 62, 2424.
Blawid, S., and A. J. Millis, 2001, Phys. Rev. B 63, 115114.
Blümer, N., and P. van Dongen, 2003, in Concepts in Electron Correlation (Kluwer, Dordrecht), Nato Science Series II, No. 110, p. 335.
Brandt, U., and A. Fledderjohann, 1992, Z. Phys. B: Condens. Matter 87, 111.
Brandt, U., A. Fledderjohann, and G. Hulsenbeck, 1990, Z. Phys. B: Condens. Matter 81, 409.
Brandt, U., and C. Mielsch, 1989, Z. Phys. B: Condens. Matter 75, 365.
Brandt, U., and C. Mielsch, 1990, Z. Phys. B: Condens. Matter 79, 295.
Brandt, U., and C. Mielsch, 1991, Z. Phys. B: Condens. Matter 82, 37.
Brandt, U., and R. Schmidt, 1986, Z. Phys. B: Condens. Matter 63, 45.
Brandt, U., and R. Schmidt, 1987, Z. Phys. B: Condens. Matter 67, 43.
Brandt, U., and M. P. Urbanek, 1992, Z. Phys. B: Condens. Matter 89, 297.
Calandra, M., and O. Gunnarsson, 2001, Phys. Rev. Lett. 87, 266601.
Chattopadhyay, A., S. Das Sarma, and A. J. Millis, 2001, Phys. Rev. Lett. 87, 227202.
Chattopadhyay, A., A. J. Millis, and S. Das Sarma, 2000, Phys. Rev. B 61, 10 738.
Chen, A. L., P. Y. Yu, and R. D. Taylor, 1993, Phys. Rev. Lett. 71, 4011.
Chen, Ling, B. A. Jones, and J. K. Freericks, 2003, Phys. Rev. B (to be published).
Chester, G. V., and A. Thellung, 1961, Proc. Phys. Soc. London 77, 1005.
Chung, W., and J. K. Freericks, 1998, Phys. Rev. B 57, 11 955.
Chung, W., and J. K. Freericks, 2000, Phys. Rev. Lett. 84, 2461.
Ciuchi, S., and F. de Pasquale, 1999, Phys. Rev. B 59, 5431.
Cornelius, A. L., J. M. Lawrence, J. Sarrao, Z. Fisk, M. F. Hundley, G. H. Kwei, J. D. Thompson, C. H. Booth, and F. Bridges, 1997, Phys. Rev. B 56, 7993.
Czycholl, G., 1999, Phys. Rev. B 59, 2642.
Dallera, C., M. Grioni, A. Shukla, G. Vankó, J. L. Sarrao, J. P. Rueff, and D. L. Cox, 2002, Phys. Rev. Lett. 88, 196403.
Devereaux, T. P., G. E. D. McCormack, and J. K. Freericks, 2003a, Phys. Rev. Lett. 90, 067402.
Devereaux, T. P., G. E. D. McCormack, and J. K. Freericks, 2003b, Phys. Rev. B 68, 075105.
de Vries, P., K. Michielsen, and H. De Raedt, 1993, Phys. Rev. Lett. 70, 2463.
de Vries, P., K. Michielsen, and H. De Raedt, 1994, Z. Phys. B: Condens. Matter 95, 475.
Dzero, M. O., 2002, J. Phys.: Condens. Matter 14, 631.
Dzero, M. O., L. Gor’kov, and A. K. Zvezdin, 2000, J. Phys.: Condens. Matter 12, L711.
Dzero, M. O., L. Gor’kov, and A. K. Zvezdin, 2002, Physica B 312&313, 321.
Economou, E. N., 1983, Green’s Functions in Quantum Physics (Springer-Verlag, Berlin).
Elitzur, S., 1975, Phys. Rev. D 12, 3978.
Falicov, L. M., and J. C. Kimball, 1969, Phys. Rev. Lett. 22, 997.
Farkasovšký, P., 1997, Z. Phys. B: Condens. Matter 104, 553.
Farkasovšký, P., 1999, Phys. Rev. B 59, 9707.
Farkasovšký, P., 2002, Phys. Rev. B 65, 081102.
Felner, I., and I. Novik, 1986, Phys. Rev. B 33, 617.
Fetter, A. L., and J. D. Walecka, 1971, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York).
Figueroa, E., J. M. Lawrence, J. Sarrao, Z. Fisk, M. F. Hundley, and J. D. Thompson, 1998, Solid State Commun. 106, 347.
Fisk, Z., and G. W. Webb, 1976, Phys. Rev. Lett. 36, 1084.
Freericks, J. K., 1993a, Phys. Rev. B 47, 9263.
Freericks, J. K., 1993b, Phys. Rev. B 48, 14 797.
Freericks, J. K., D. O. Demchenko, A. V. Joura, and V. Zlatić, 2003, Phys. Rev. B (to be published).
Freericks, J. K., and T. P. Devereaux, 2001a, Condens. Matter Phys. 4, 149.
Freericks, J. K., and T. P. Devereaux, 2001b, Phys. Rev. B 64, 125110.
Freericks, J. K., T. P. Devereaux, and R. Bulla, 2001, Acta Phys. Pol. B 32, 3219.
Freericks, J. K., and L. M. Falicov, 1990, Phys. Rev. B 41, 2163.
Freericks, J. K., and L. M. Falicov, 1992, Phys. Rev. B 45, 1896.
Freericks, J. K., C. Gruber, and N. Macris, 1996, Phys. Rev. B 53, 16 189.
Freericks, J. K., C. Gruber, and N. Macris, 1999, Phys. Rev. B 60, 1617.
Freericks, J. K., and R. Lemański, 2000, Phys. Rev. B 61, 13 438.
Freericks, J. K., E. H. Lieb, and D. Ueltschi, 2002a, Phys. Rev. Lett. 88, 106401.
Freericks, J. K., E. H. Lieb, and D. Ueltschi, 2002b, Commun. Math. Phys. 227, 243.
Freericks, J. K., and P. Miller, 2000, Phys. Rev. B 62, 10 022.
Freericks, J. K., B. N. Nikolić, and P. Miller, 2001, Phys. Rev. B 64, 054511.
Freericks, J. K., B. N. Nikolić, and P. Miller, 2002, Int. J. Mod. Phys. B 16, 531.
Freericks, J. K., B. N. Nikolić, and P. Miller, 2003a, Appl. Phys. Lett. 82, 970.
Freericks, J. K., B. N. Nikolić, and P. Miller, 2003b, Appl. Phys. Lett. 83, 1275(E).
Freericks, J. K., B. N. Nikolić, and P. Miller, 2003c, Phys. Rev. B 68, 099901(E).
Freericks, J. K., and V. Zlatić, 1998, Phys. Rev. B 58, 322.
Freericks, J. K., and V. Zlatić, 2001a, Phys. Rev. B 64, 073109.
Freericks, J. K., and V. Zlatić, 2001b, Phys. Rev. B 64, 245118.
Freericks, J. K., and V. Zlatić, 2002, Phys. Rev. B 66, 249901(E).
Freericks, J. K., and V. Zlatić, 2003, Phys. Status Solidi B 236, 265.
Freericks, J. K., V. Zlatić, and M. Jarrell, 2000, Phys. Rev. B 61, 838.
Garner, S. R., J. Hancock, Y. Rodriguez, Z. Schlesinger, B. Bucher, Z. Fisk, and J. L. Sarrao, 2000, Phys. Rev. B 62, R4778.
Georges, A., G. Kotliar, W. Krauth, and M. J. Rozenberg, 1996, Rev. Mod. Phys. 68, 13.
Gonçalves da Silva, C. E. T., and L. M. Falicov, 1972, J. Phys. C 5, 906.
Goremychkin, E. A., and R. Osborn, 1993, Phys. Rev. B 47, 14 280.
Greenwood, D. A., 1958, Proc. Phys. Soc. London 71, 585.
Gruber, C., 1999, in Mathematical Results in Statistical Mechanics, edited by S. Miracle-Solé, J. Ruiz, and V. Zagrebnov (World Scientific, Singapore), p. 199.
Gruber, C., and N. Macris, 1996, Helv. Phys. Acta 69, 850.
Gruber, C., N. Macris, P. Royer, and J. K. Freericks, 2001, Phys. Rev. B 63, 165111.
Gruber, C., D. Ueltschi, and J. Jedrzejewski, 1994, J. Stat. Phys. 76, 125.
Haller, K., 2000, Commun. Math. Phys. 210, 703.
Haller, K., and T. Kennedy, 2001, J. Stat. Phys. 102, 15.
Hettler, M. H., M. Mukherjee, M. Jarrell, and H. R. Krishnamurthy, 2000, Phys. Rev. B 61, 12 739.
Hettler, M. H., N. Tahvildar-Zadeh, M. Jarrell, T. Pruschke, and H. R. Krishnamurthy, 1998, Phys. Rev. B 58, R7475.
Hirsch, J. E., 1993, Phys. Rev. B 47, 5351.
Holstein, T., 1959, Ann. Phys. (N.Y.) 8, 325.
Hubbard, J., 1963, Proc. R. Soc. London, Ser. A 276, 238.
Hwang, E. H., A. J. Millis, and S. Das Sarma, 2002, Phys. Rev. B 65, 233206.
Immer, C. D., J. Sarrao, Z. Fisk, A. Lacerda, C. Mielke, and J. D. Thompson, 1997, Phys. Rev. B 56, 71.
Janis, V., 1994, Phys. Rev. B 49, 1612.
Jarrell, M., 1992, Phys. Rev. Lett. 69, 168.
Jonson, M., and G. D. Mahan, 1980, Phys. Rev. B 21, 4223.
Jonson, M., and G. D. Mahan, 1990, Phys. Rev. B 42, 9350.
Josephson, B. D., 1962, Phys. Lett. 1, 251.
Kalinowski, E., and F. Gebhard, 2002, J. Low Temp. Phys. 129, 979.
Kaul, A., S. Whitely, T. van Duzer, L. Yu, N. Newman, and J. Rowell, 2001, Appl. Phys. Lett. 78, 99.
Kennedy, T., 1994, Rev. Math. Phys. 6, 901.
Kennedy, T., 1998, J. Stat. Phys. 91, 829.
Kennedy, T., and E. Lieb, 1986, Physica A 138, 320.
Khurana, A., 1990, Phys. Rev. Lett. 64, 1990.
Krishnamurty, H. B., J. W. Wilkins, and K. G. Wilson, 1980, Phys. Rev. B 21, 1044.
Kubo, R., 1957, J. Phys. Soc. Jpn. 12, 570.
Laad, M. S., and M. van den Bossche, 2000, J. Phys.: Condens. Matter 12, 2209.
Lawrence, J. M., R. Osborn, J. L. Sarrao, and Z. Fisk, 1999, Phys. Rev. 59, 1134.
Lawrence, J. M., S. M. Shapiro, J. L. Sarrao, and Z. Fisk, 1997, Phys. Rev. 55, 14467.
Lemanski, R., J. K. Freericks, and G. Banach, 2002, Phys. Rev. Lett. 89, 196403.
Lemberger, P., 1992, J. Phys. A 25, 715.
Letfulov, B. M., 1999, Eur. Phys. J. B 11, 423.
Letfulov, B. M., and J. K. Freericks, 2001, Phys. Rev. B 64, 174409.
Levin, E., B. S. Kuzhel, O. Bodak, B. D. Belan, and I. Stets, 1990, Phys. Status Solidi B 161, 783.
Lieb, E., 1986, Physica A 140A, 240.
Likharev, K., 2000, Applications of Superconductivity (Kluwer, Dordrecht), Chap. 5.
Luttinger, J. M., and J. C. Ward, 1960, Phys. Rev. 118, 1417.
Maldague, P. F., 1977, Phys. Rev. B 16, 2437.
Metzner, W., 1991, Phys. Rev. B 43, 8549.
Metzner, W., and D. Vollhardt, 1989, Phys. Rev. Lett. 62, 324.
Michielsen, K., 1993, Int. J. Mod. Phys. B 7, 2571.
Miller, P., and J. K. Freericks, 2001, J. Phys.: Condens. Matter 13, 3187.
Millis, A. J., J. Hu, and S. Das Sarma, 1999, Phys. Rev. Lett. 82, 2354.
Millis, A. J., P. B. Littlewood, and B. I. Shraiman, 1995, Phys. Rev. Lett. 74, 5144.
Millis, A. J., R. Mueller, and B. I. Shraiman, 1996, Phys. Rev. B 54, 5389.
Minh-Tien, T., 1998, Phys. Rev. B 58, R15 965.
Mitsuda, A., T. Goto, K. Yoshimura, W. Zhang, N. Sato, K. Kosige, and H. Wada, 2002, Phys. Rev. Lett. 88, 137204.
Moeller, G., A. Ruckenstein, and S. Schmitt-Rink, 1992, Phys. Rev. B 46, 7427.
Müller-Hartmann, E., 1989a, Z. Phys. B: Condens. Matter 74, 507.
Müller-Hartmann, E., 1989b, Int. J. Mod. Phys. B 3, 2169.
Murani, A., D. Richard, and R. Bewley, 2002, Physica B 312&313, 346.
Nyhus, P., S. Cooper, and Z. Fisk, 1995, Phys. Rev. B 51, R15 626.
Nyhus, P., S. Cooper, Z. Fisk, and J. Sarrao, 1995, Phys. Rev. B 52, R14 308.
Nyhus, P., S. Cooper, Z. Fisk, and J. Sarrao, 1997, Phys. Rev. B 55, 12 488.
Očko, M., and J. L. Sarrao, 2002, Physica B 312&313, 341.
Pasternak, M. P., R. D. Taylor, A. Chen, C. Meade, L. M. Falicov, A. Giesekus, R. Jeanloz, and P. Y. Yu, 1990, Phys. Rev. Lett. 65, 790.
Plischke, M., 1972, Phys. Rev. Lett. 28, 361.
Portengen, T., T. Oestreich, and L. J. Sham, 1996a, Phys. Rev. Lett. 76, 3384.
Portengen, T., T. Oestreich, and L. J. Sham, 1996b, Phys. Rev. B 54, 17 452.
Potthoff, M., and W. Nolting, 1999, Phys. Rev. B 59, 2549.
Pruschke, T., D. L. Cox, and M. Jarrell, 1993a, Europhys. Lett. 21, 593.
Pruschke, T., D. L. Cox, and M. Jarrell, 1993b, Phys. Rev. B 47, 3553.
Pruschke, T., M. Jarrell, and J. K. Freericks, 1995, Adv. Phys. 44, 187.
Ramakrishnan, T. V., H. R. Krishnamurthy, S. R. Hassan, and G. Venketeswarai Pai, 2003, in Colossal Magnetoresistive Manganites, edited by T. Chatterji (Kluwer, Dordrecht, in press).
Ramirez, R., and L. M. Falicov, 1971, Phys. Rev. B 3, 2425.
Ramirez, R., L. M. Falicov, and J. C. Kimball, 1970, Phys. Rev. B 2, 3383.
Rettori, C., S. B. Oseroff, D. Rao, P. G. Pagliuso, G. E. Barberis, J. Sarrao, Z. Fisk, and M. F. Hundley, 1997, Phys. Rev. B 56, 7993.
Sakurai, J., S. Fukuda, A. Mitsuda, H. Wada, and M. Shiga, 2000, Physica B 281-282, 134.
Sarasua, L. G., and M. A. Continentino, 2002, Phys. Rev. B 65, 233107.
Sarrao, J. L., 1999, Physica B 259-261, 128.
Schiller, A., 1999, Phys. Rev. B 60, 15 660.
Schiller, A., and K. Ingersent, 1995, Phys. Rev. Lett. 75, 113.
Schmidt, P., and H. Monien, 2002, e-print cond-mat/0202046.
Schwartz, L., and E. Siggia, 1972, Phys. Rev. B 5, 383.
Shastry, B. S., and B. I. Shraiman, 1990, Phys. Rev. Lett. 65, 1068.
Shastry, B. S., and B. I. Shraiman, 1991, Int. J. Mod. Phys. B 5, 365.
Shvaika, A. M., 2000, Physica C 341-348, 177.
Shvaika, A. M., 2001, J. Phys. Stud. 5, 349.
Shvaika, A. M., 2003, Phys. Rev. B 67, 075101.
Shvaika, A. M., and J. K. Freericks, 2003, Phys. Rev. B 67, 153103.
Si, Q., G. Kotliar, and A. Georges, 1992, Phys. Rev. B 46, 1261.
Soven, P., 1967, Phys. Rev. 156, 809.
Subrahmanyam, V., and M. Barma, 1988, J. Phys. C 21, L19.
Tran, M.-T., 1999, Phys. Rev. B 60, 16 371.
van Dongen, P. G. J., 1991a, Mod. Phys. Lett. B 5, 861.
van Dongen, P. G. J., 1991b, Phys. Rev. Lett. 67, 757.
van Dongen, P. G. J., 1992, Phys. Rev. B 45, 2267.
van Dongen, P. G. J., 1994, Phys. Rev. B 50, 14 016.
van Dongen, P. G. J., and C. Leinung, 1997, Ann. Phys. (Leipzig) 6, 45.
van Dongen, P. G. J., and D. Vollhardt, 1990, Phys. Rev. Lett. 65, 1663.
Velický, B., 1969, Phys. Rev. 184, 614.
Velický, B., S. Kirkpatrick, and H. Ehrenreich, 1968, Phys. Rev. 175, 747.
Vojta, M., and R. Bulla, 2002, Phys. Rev. B 65, 014511.
Wada, H., A. Nakamura, A. Mitsuda, M. Shiga, T. Tanaka, H. Mitamura, and T. Goto, 1997, J. Phys.: Condens. Matter 9, 7913.
Watson, G., and R. Lemański, 1995, J. Phys.: Condens. Matter 7, 9521.
Wilcox, R. M., 1968, Phys. Rev. 174, 624.
Withoff, D., and E. Fradkin, 1990, Phys. Rev. Lett. 64, 1835.
Zhang, W., N. Sato, K. Yoshimura, A. Mitsuda, T. Goto, and K. Kosuge, 2002, Phys. Rev. B 66, 024112.
Zlatić, V., and J. K. Freericks, 2001a, Acta Phys. Pol. B 32, 3253.
Zlatić, V., and J. K. Freericks, 2001b, in Open Problems in Strongly Correlated Electron Systems, 2000, Proceedings of the NATO Advanced Research Workshop, edited by J. Bonca et al., Nato Science Series II, No. 15 (Kluwer, Dordrecht), p. 371.
Zlatić, V., and J. K. Freericks, 2003a, Acta Phys. Pol. B 34, 931.
Zlatić, V., and J. K. Freericks, 2003b, in Concepts in Electron Correlation (Kluwer, Dordrecht), Nato Science Series II, No. 110, p. 287.
Zlatić, V., J. K. Freericks, R. Lemański, and G. Czycholl, 2001, Philos. Mag. B 81, 1443.
Zlatić, V., and B. Horvatić, 1990, Solid State Commun. 75, 263.

[c1] Allen, J. W., and R. M. Martin, 1982, Phys. Rev. Lett. 49, 1106.

[c2] Allub, R., and B. Alascio, 1996, Solid State Commun. 99, 66.

[c3] Allub, R., and B. Alascio, 1997, Phys. Rev. B 55, 14 113.

[c4] Altshuler, T., M. Bresler, M. Schlott, B. Elschner, and E. Graty, 1995, Z. Phys. B: Condens. Matter 99, 57.

[c5] Ambegaokar, V., and A. Baratoff, 1963, Phys. Rev. Lett. 10, 486.

[c6] Anderson, P. W., 1959, J. Phys. Chem. Solids 11, 26.

[c7] Ashcroft, N. W., and N. D. Mermin, 1976, Solid State Physics (Holt, Rinehart and Winston, Philadelphia).

[c8] Batista, C. D., 2002, Phys. Rev. Lett. 89, 166403.

[c9] Baym, G., 1962, Phys. Rev. 127, 1391.

[c10] Bergmann, G., and D. Rainer, 1974, Solid State Commun. 14, 97.

[c11] Blawid, S., and A. J. Millis, 2000, Phys. Rev. B 62, 2424.

[c12] Blawid, S., and A. J. Millis, 2001, Phys. Rev. B 63, 115114.

[c13] Blümer, N., and P. van Dongen, 2003, in Concepts in Electron Correlation (Kluwer, Dordrecht), Nato Science Series II, No. 110, p. 335.

[c14] Brandt, U., and A. Fledderjohann, 1992, Z. Phys. B: Condens. Matter 87, 111.

[c15] Brandt, U., A. Fledderjohann, and G. Hulsenbeck, 1990, Z. Phys. B: Condens. Matter 81, 409.

[c16] Brandt, U., and C. Mielsch, 1989, Z. Phys. B: Condens. Matter 75, 365.

[c17] Brandt, U., and C. Mielsch, 1990, Z. Phys. B: Condens. Matter 79, 295.

[c18] Brandt, U., and C. Mielsch, 1991, Z. Phys. B: Condens. Matter 82, 37.

[c19] Brandt, U., and R. Schmidt, 1986, Z. Phys. B: Condens. Matter 63, 45.

[c20] Brandt, U., and R. Schmidt, 1987, Z. Phys. B: Condens. Matter 67, 43.

[c21] Brandt, U., and M. P. Urbanek, 1992, Z. Phys. B: Condens. Matter 89, 297.

[c22] Calandra, M., and O. Gunnarsson, 2001, Phys. Rev. Lett. 87, 266601.

[c23] Chattopadhyay, A., S. Das Sarma, and A. J. Millis, 2001, Phys. Rev. Lett. 87, 227202.

[c24] Chattopadhyay, A., A. J. Millis, and S. Das Sarma, 2000, Phys. Rev. B 61, 10 738.

[c25] Chen, A. L., P. Y. Yu, and R. D. Taylor, 1993, Phys. Rev. Lett. 71, 4011.

[c26] Chen, Ling, B. A. Jones, and J. K. Freericks, 2003, Phys. Rev. B (to be published).

[c27] Chester, G. V., and A. Thellung, 1961, Proc. Phys. Soc. London 77, 1005.

[c28] Chung, W., and J. K. Freericks, 1998, Phys. Rev. B 57, 11 955.

[c29] Chung, W., and J. K. Freericks, 2000, Phys. Rev. Lett. 84, 2461.

[c30] Ciuchi, S., and F. de Pasquale, 1999, Phys. Rev. B 59, 5431.

[c31] Cornelius, A. L., J. M. Lawrence, J. Sarrao, Z. Fisk, M. F. Hundley, G. H. Kwei, J. D. Thompson, C. H. Booth, and F. Bridges, 1997, Phys. Rev. B 56, 7993.

[c32] Czycholl, G., 1999, Phys. Rev. B 59, 2642.

[c33] Dallera, C., M. Grioni, A. Shukla, G. Vankó, J. L. Sarrao, J. P. Rueff, and D. L. Cox, 2002, Phys. Rev. Lett. 88, 196403.

[c34] Devereaux, T. P., G. E. D. McCormack, and J. K. Freericks, 2003a, Phys. Rev. Lett. 90, 067402.

[c35] Devereaux, T. P., G. E. D. McCormack, and J. K. Freericks, 2003b, Phys. Rev. B 68, 075105.

[c36] de Vries, P., K. Michielsen, and H. De Raedt, 1993, Phys. Rev. Lett. 70, 2463.

[c37] de Vries, P., K. Michielsen, and H. De Raedt, 1994, Z. Phys. B: Condens. Matter 95, 475.

[c38] Dzero, M. O., 2002, J. Phys.: Condens. Matter 14, 631.

[c39] Dzero, M. O., L. Gor’kov, and A. K. Zvezdin, 2000, J. Phys.: Condens. Matter 12, L711.

[c40] Dzero, M. O., L. Gor’kov, and A. K. Zvezdin, 2002, Physica B 312&313, 321.

[c41] Economou, E. N., 1983, Green’s Functions in Quantum Physics (Springer-Verlag, Berlin).

[c42] Elitzur, S., 1975, Phys. Rev. D 12, 3978.

[c43] Falicov, L. M., and J. C. Kimball, 1969, Phys. Rev. Lett. 22, 997.

[c44] Farkasovšký, P., 1997, Z. Phys. B: Condens. Matter 104, 553.

[c45] Farkasovšký, P., 1999, Phys. Rev. B 59, 9707.

[c46] Farkasovšký, P., 2002, Phys. Rev. B 65, 081102.

[c47] Felner, I., and I. Novik, 1986, Phys. Rev. B 33, 617.

[c48] Fetter, A. L., and J. D. Walecka, 1971, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York).

[c49] Figueroa, E., J. M. Lawrence, J. Sarrao, Z. Fisk, M. F. Hundley, and J. D. Thompson, 1998, Solid State Commun. 106, 347.

[c50] Fisk, Z., and G. W. Webb, 1976, Phys. Rev. Lett. 36, 1084.

[c51] Freericks, J. K., 1993a, Phys. Rev. B 47, 9263.

[c52] Freericks, J. K., 1993b, Phys. Rev. B 48, 14 797.

[c53] Freericks, J. K., D. O. Demchenko, A. V. Joura, and V. Zlatić, 2003, Phys. Rev. B (to be published).

[c54] Freericks, J. K., and T. P. Devereaux, 2001a, Condens. Matter Phys. 4, 149.

[c55] Freericks, J. K., and T. P. Devereaux, 2001b, Phys. Rev. B 64, 125110.

[c56] Freericks, J. K., T. P. Devereaux, and R. Bulla, 2001, Acta Phys. Pol. B 32, 3219.

[c57] Freericks, J. K., and L. M. Falicov, 1990, Phys. Rev. B 41, 2163.

[c58] Freericks, J. K., and L. M. Falicov, 1992, Phys. Rev. B 45, 1896.

[c59] Freericks, J. K., C. Gruber, and N. Macris, 1996, Phys. Rev. B 53, 16 189.

[c60] Freericks, J. K., C. Gruber, and N. Macris, 1999, Phys. Rev. B 60, 1617.

[c61] Freericks, J. K., and R. Lemański, 2000, Phys. Rev. B 61, 13 438.

[c62] Freericks, J. K., E. H. Lieb, and D. Ueltschi, 2002a, Phys. Rev. Lett. 88, 106401.

[c63] Freericks, J. K., E. H. Lieb, and D. Ueltschi, 2002b, Commun. Math. Phys. 227, 243.

[c64] Freericks, J. K., and P. Miller, 2000, Phys. Rev. B 62, 10 022.

[c65] Freericks, J. K., B. N. Nikolić, and P. Miller, 2001, Phys. Rev. B 64, 054511.

[c66] Freericks, J. K., B. N. Nikolić, and P. Miller, 2002, Int. J. Mod. Phys. B 16, 531.

[c67] Freericks, J. K., B. N. Nikolić, and P. Miller, 2003a, Appl. Phys. Lett. 82, 970.

[c68] Freericks, J. K., B. N. Nikolić, and P. Miller, 2003b, Appl. Phys. Lett. 83, 1275(E).

[c69] Freericks, J. K., B. N. Nikolić, and P. Miller, 2003c, Phys. Rev. B 68, 099901(E).

[c70] Freericks, J. K., and V. Zlatić, 1998, Phys. Rev. B 58, 322.

[c71] Freericks, J. K., and V. Zlatić, 2001a, Phys. Rev. B 64, 073109.

[c72] Freericks, J. K., and V. Zlatić, 2001b, Phys. Rev. B 64, 245118.

[c73] Freericks, J. K., and V. Zlatić, 2002, Phys. Rev. B 66, 249901(E).

[c74] Freericks, J. K., and V. Zlatić, 2003, Phys. Status Solidi B 236, 265.

[c75] Freericks, J. K., V. Zlatić, and M. Jarrell, 2000, Phys. Rev. B 61, 838.

[c76] Garner, S. R., J. Hancock, Y. Rodriguez, Z. Schlesinger, B. Bucher, Z. Fisk, and J. L. Sarrao, 2000, Phys. Rev. B 62, R4778.

[c77] Georges, A., G. Kotliar, W. Krauth, and M. J. Rozenberg, 1996, Rev. Mod. Phys. 68, 13.

[c78] Gonçalves da Silva, C. E. T., and L. M. Falicov, 1972, J. Phys. C 5, 906.

[c79] Goremychkin, E. A., and R. Osborn, 1993, Phys. Rev. B 47, 14 280.

[c80] Greenwood, D. A., 1958, Proc. Phys. Soc. London 71, 585.

[c81] Gruber, C., 1999, in Mathematical Results in Statistical Mechanics, edited by S. Miracle-Solé, J. Ruiz, and V. Zagrebnov (World Scientific, Singapore), p. 199.

[c82] Gruber, C., and N. Macris, 1996, Helv. Phys. Acta 69, 850.

[c83] Gruber, C., N. Macris, P. Royer, and J. K. Freericks, 2001, Phys. Rev. B 63, 165111.

[c84] Gruber, C., D. Ueltschi, and J. Jedrzejewski, 1994, J. Stat. Phys. 76, 125.

[c85] Haller, K., 2000, Commun. Math. Phys. 210, 703.

[c86] Haller, K., and T. Kennedy, 2001, J. Stat. Phys. 102, 15.

[c87] Hettler, M. H., M. Mukherjee, M. Jarrell, and H. R. Krishnamurthy, 2000, Phys. Rev. B 61, 12 739.

[c88] Hettler, M. H., N. Tahvildar-Zadeh, M. Jarrell, T. Pruschke, and H. R. Krishnamurthy, 1998, Phys. Rev. B 58, R7475.

[c89] Hirsch, J. E., 1993, Phys. Rev. B 47, 5351.

[c90] Holstein, T., 1959, Ann. Phys. (N.Y.) 8, 325.

[c91] Hubbard, J., 1963, Proc. R. Soc. London, Ser. A 276, 238.

[c92] Hwang, E. H., A. J. Millis, and S. Das Sarma, 2002, Phys. Rev. B 65, 233206.

[c93] Immer, C. D., J. Sarrao, Z. Fisk, A. Lacerda, C. Mielke, and J. D. Thompson, 1997, Phys. Rev. B 56, 71.

[c94] Janis, V., 1994, Phys. Rev. B 49, 1612.

[c95] Jarrell, M., 1992, Phys. Rev. Lett. 69, 168.

[c96] Jonson, M., and G. D. Mahan, 1980, Phys. Rev. B 21, 4223.

[c97] Jonson, M., and G. D. Mahan, 1990, Phys. Rev. B 42, 9350.

[c98] Josephson, B. D., 1962, Phys. Lett. 1, 251.

[c99] Kalinowski, E., and F. Gebhard, 2002, J. Low Temp. Phys. 129, 979.

[c100] Kaul, A., S. Whitely, T. van Duzer, L. Yu, N. Newman, and J. Rowell, 2001, Appl. Phys. Lett. 78, 99.

[c101] Kennedy, T., 1994, Rev. Math. Phys. 6, 901.

[c102] Kennedy, T., 1998, J. Stat. Phys. 91, 829.

[c103] Kennedy, T., and E. Lieb, 1986, Physica A 138, 320.

[c104] Khurana, A., 1990, Phys. Rev. Lett. 64, 1990.

[c105] Krishnamurty, H. B., J. W. Wilkins, and K. G. Wilson, 1980, Phys. Rev. B 21, 1044.

[c106] Kubo, R., 1957, J. Phys. Soc. Jpn. 12, 570.

[c107] Laad, M. S., and M. van den Bossche, 2000, J. Phys.: Condens. Matter 12, 2209.

[c108] Lawrence, J. M., R. Osborn, J. L. Sarrao, and Z. Fisk, 1999, Phys. Rev. 59, 1134.

[c109] Lawrence, J. M., S. M. Shapiro, J. L. Sarrao, and Z. Fisk, 1997, Phys. Rev. 55, 14467.

[c110] Lemanski, R., J. K. Freericks, and G. Banach, 2002, Phys. Rev. Lett. 89, 196403.

[c111] Lemberger, P., 1992, J. Phys. A 25, 715.

[c112] Letfulov, B. M., 1999, Eur. Phys. J. B 11, 423.

[c113] Letfulov, B. M., and J. K. Freericks, 2001, Phys. Rev. B 64, 174409.

[c114] Levin, E., B. S. Kuzhel, O. Bodak, B. D. Belan, and I. Stets, 1990, Phys. Status Solidi B 161, 783.

[c115] Lieb, E., 1986, Physica A 140A, 240.

[c116] Likharev, K., 2000, Applications of Superconductivity (Kluwer, Dordrecht), Chap. 5.

[c117] Luttinger, J. M., and J. C. Ward, 1960, Phys. Rev. 118, 1417.

[c118] Maldague, P. F., 1977, Phys. Rev. B 16, 2437.

[c119] Metzner, W., 1991, Phys. Rev. B 43, 8549.

[c120] Metzner, W., and D. Vollhardt, 1989, Phys. Rev. Lett. 62, 324.

[c121] Michielsen, K., 1993, Int. J. Mod. Phys. B 7, 2571.

[c122] Miller, P., and J. K. Freericks, 2001, J. Phys.: Condens. Matter 13, 3187.

[c123] Millis, A. J., J. Hu, and S. Das Sarma, 1999, Phys. Rev. Lett. 82, 2354.

[c124] Millis, A. J., P. B. Littlewood, and B. I. Shraiman, 1995, Phys. Rev. Lett. 74, 5144.

[c125] Millis, A. J., R. Mueller, and B. I. Shraiman, 1996, Phys. Rev. B 54, 5389.

[c126] Minh-Tien, T., 1998, Phys. Rev. B 58, R15 965.

[c127] Mitsuda, A., T. Goto, K. Yoshimura, W. Zhang, N. Sato, K. Kosige, and H. Wada, 2002, Phys. Rev. Lett. 88, 137204.

[c128] Moeller, G., A. Ruckenstein, and S. Schmitt-Rink, 1992, Phys. Rev. B 46, 7427.

[c129] Müller-Hartmann, E., 1989a, Z. Phys. B: Condens. Matter 74, 507.

[c130] Müller-Hartmann, E., 1989b, Int. J. Mod. Phys. B 3, 2169.

[c131] Murani, A., D. Richard, and R. Bewley, 2002, Physica B 312&313, 346.

[c132] Nyhus, P., S. Cooper, and Z. Fisk, 1995, Phys. Rev. B 51, R15 626.

[c133] Nyhus, P., S. Cooper, Z. Fisk, and J. Sarrao, 1995, Phys. Rev. B 52, R14 308.

[c134] Nyhus, P., S. Cooper, Z. Fisk, and J. Sarrao, 1997, Phys. Rev. B 55, 12 488.

[c135] Očko, M., and J. L. Sarrao, 2002, Physica B 312&313, 341.

[c136] Pasternak, M. P., R. D. Taylor, A. Chen, C. Meade, L. M. Falicov, A. Giesekus, R. Jeanloz, and P. Y. Yu, 1990, Phys. Rev. Lett. 65, 790.

[c137] Plischke, M., 1972, Phys. Rev. Lett. 28, 361.

[c138] Portengen, T., T. Oestreich, and L. J. Sham, 1996a, Phys. Rev. Lett. 76, 3384.

[c139] Portengen, T., T. Oestreich, and L. J. Sham, 1996b, Phys. Rev. B 54, 17 452.

[c140] Potthoff, M., and W. Nolting, 1999, Phys. Rev. B 59, 2549.

[c141] Pruschke, T., D. L. Cox, and M. Jarrell, 1993a, Europhys. Lett. 21, 593.

[c142] Pruschke, T., D. L. Cox, and M. Jarrell, 1993b, Phys. Rev. B 47, 3553.

[c143] Pruschke, T., M. Jarrell, and J. K. Freericks, 1995, Adv. Phys. 44, 187.

[c144] Ramakrishnan, T. V., H. R. Krishnamurthy, S. R. Hassan, and G. Venketeswarai Pai, 2003, in Colossal Magnetoresistive Manganites, edited by T. Chatterji (Kluwer, Dordrecht, in press).

[c145] Ramirez, R., and L. M. Falicov, 1971, Phys. Rev. B 3, 2425.

[c146] Ramirez, R., L. M. Falicov, and J. C. Kimball, 1970, Phys. Rev. B 2, 3383.

[c147] Rettori, C., S. B. Oseroff, D. Rao, P. G. Pagliuso, G. E. Barberis, J. Sarrao, Z. Fisk, and M. F. Hundley, 1997, Phys. Rev. B 56, 7993.

[c148] Sakurai, J., S. Fukuda, A. Mitsuda, H. Wada, and M. Shiga, 2000, Physica B 281-282, 134.

[c149] Sarasua, L. G., and M. A. Continentino, 2002, Phys. Rev. B 65, 233107.

[c150] Sarrao, J. L., 1999, Physica B 259-261, 128.

[c151] Schiller, A., 1999, Phys. Rev. B 60, 15 660.

[c152] Schiller, A., and K. Ingersent, 1995, Phys. Rev. Lett. 75, 113.

[c153] Schmidt, P., and H. Monien, 2002, e-print cond-mat/0202046.

[c154] Schwartz, L., and E. Siggia, 1972, Phys. Rev. B 5, 383.

[c155] Shastry, B. S., and B. I. Shraiman, 1990, Phys. Rev. Lett. 65, 1068.

[c156] Shastry, B. S., and B. I. Shraiman, 1991, Int. J. Mod. Phys. B 5, 365.

[c157] Shvaika, A. M., 2000, Physica C 341-348, 177.

[c158] Shvaika, A. M., 2001, J. Phys. Stud. 5, 349.

[c159] Shvaika, A. M., 2003, Phys. Rev. B 67, 075101.

[c160] Shvaika, A. M., and J. K. Freericks, 2003, Phys. Rev. B 67, 153103.

[c161] Si, Q., G. Kotliar, and A. Georges, 1992, Phys. Rev. B 46, 1261.

[c162] Soven, P., 1967, Phys. Rev. 156, 809.

[c163] Subrahmanyam, V., and M. Barma, 1988, J. Phys. C 21, L19.

[c164] Tran, M.-T., 1999, Phys. Rev. B 60, 16 371.

[c165] van Dongen, P. G. J., 1991a, Mod. Phys. Lett. B 5, 861.

[c166] van Dongen, P. G. J., 1991b, Phys. Rev. Lett. 67, 757.

[c167] van Dongen, P. G. J., 1992, Phys. Rev. B 45, 2267.

[c168] van Dongen, P. G. J., 1994, Phys. Rev. B 50, 14 016.

[c169] van Dongen, P. G. J., and C. Leinung, 1997, Ann. Phys. (Leipzig) 6, 45.

[c170] van Dongen, P. G. J., and D. Vollhardt, 1990, Phys. Rev. Lett. 65, 1663.

[c171] Velický, B., 1969, Phys. Rev. 184, 614.

[c172] Velický, B., S. Kirkpatrick, and H. Ehrenreich, 1968, Phys. Rev. 175, 747.

[c173] Vojta, M., and R. Bulla, 2002, Phys. Rev. B 65, 014511.

[c174] Wada, H., A. Nakamura, A. Mitsuda, M. Shiga, T. Tanaka, H. Mitamura, and T. Goto, 1997, J. Phys.: Condens. Matter 9, 7913.

[c175] Watson, G., and R. Lemański, 1995, J. Phys.: Condens. Matter 7, 9521.

[c176] Wilcox, R. M., 1968, Phys. Rev. 174, 624.

[c177] Withoff, D., and E. Fradkin, 1990, Phys. Rev. Lett. 64, 1835.

[c178] Zhang, W., N. Sato, K. Yoshimura, A. Mitsuda, T. Goto, and K. Kosuge, 2002, Phys. Rev. B 66, 024112.

[c179] Zlatić, V., and J. K. Freericks, 2001a, Acta Phys. Pol. B 32, 3253.

[c180] Zlatić, V., and J. K. Freericks, 2001b, in Open Problems in Strongly Correlated Electron Systems, 2000, Proceedings of the NATO Advanced Research Workshop, edited by J. Bonca et al., Nato Science Series II, No. 15 (Kluwer, Dordrecht), p. 371.

[c181] Zlatić, V., and J. K. Freericks, 2003a, Acta Phys. Pol. B 34, 931.

[c182] Zlatić, V., and J. K. Freericks, 2003b, in Concepts in Electron Correlation (Kluwer, Dordrecht), Nato Science Series II, No. 110, p. 287.

[c183] Zlatić, V., J. K. Freericks, R. Lemański, and G. Czycholl, 2001, Philos. Mag. B 81, 1443.

[c184] Zlatić, V., and B. Horvatić, 1990, Solid State Commun. 75, 263.

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Exact dynamical mean-field theory of the Falicov-Kimball model

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