Geodesic
Dynamical Spin Susceptibility in the $t$–$J$ Model: The Memory Function Method
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 2, pp. 240-255

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Based on the method of the equations of motion for the relaxation function in terms of Hubbard operators, we evaluate the dynamical spin susceptibility for the $t$–$J$ model in the paramagnetic phase. Using a Mori-type projection technique, we express the relaxation function in terms of the second-order memory function, which is evaluated in the approximation of coupled modes for hole excitations and spin fluctuations in the fourth order in the hopping parameter $t$ and the exchange interaction $J$.
Keywords: strong electron correlations, dynamical spin susceptibility, high-temperature superconductivity, $t$–$J$ model. 
A. A. Vladimirov; D. Ihle; N. M. Plakida. Dynamical Spin Susceptibility in the $t$–$J$ Model: The Memory Function Method. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 2, pp. 240-255. http://geodesic.mathdoc.fr/item/TMF_2005_145_2_a8/
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     title = {Dynamical {Spin} {Susceptibility} in the $t${\textendash}$J$ {Model:} {The} {Memory} {Function} {Method}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_2_a8/}
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[1] E. Manousakis, Rev. Mod. Phys., 63 (1991), 1 | DOI | MR

[2] A. P. Kampf, Phys. Rep., 249 (1994), 219 ; M. A. Kastner, R. J. Birgeneau, G. Shirane, Y. Endoh, Rev. Mod. Phys., 70 (1998), 897 | DOI | DOI

[3] T. Tanamoto, H. Kohno, H. Fukuyama, J. Phys. Soc. Japan, 63 (1994), 2379 | DOI

[4] P. Hedegard, M. B. Pedersen, Phys. Rev. B, 43 (1991), 11504 ; C. L. Kane, P. A. Lee, T. K. Ng, B. Chakraborty, N. Read, Phys. Rev. B, 41 (1990), 2653 ; A. Auerbach, B. E. Larson, Phys. Rev. B, 43 (1991), 7800 | DOI | DOI | DOI

[5] Yu. A. Izyumov, B. M. Letfulov, J. Phys.: Condens. Matter, 2 (1990), 8905 ; Yu. A. Izyumov, J. A. Hedersen, Int. J. Mod. Phys. B, 8 (1994), 1877 ; F. Onufrieva, J. Rossat-Mignod, Phys. Rev. B, 52 (1995), 7572 | DOI | DOI | DOI

[6] E. Dagotto, Rev. Mod. Phys., 66 (1994), 763 ; J. Jaklič, P. Prelovšek, Adv. Phys., 49 (2000), 1 ; R. Eder, Y. Ohta, S. Maekawa, Phys. Rev. Lett., 74 (1995), 5124 | DOI | DOI | DOI

[7] N. M. Plakida, Phys. Lett. A, 43 (1973), 481 | DOI | MR

[8] Yu. A. Tserkovnikov, TMF, 49 (1981), 219 | MR

[9] Yu. A. Tserkovnikov, TMF, 52 (1982), 147

[10] G. Dzhakelli, N. M. Plakida, TMF, 114 (1998), 426 | DOI | MR

[11] A. Sherman, M. Schreiber, Incommensurate spin dynamics in underdoped cuprate perovskites, arXiv: cond-mat/0501418

[12] S. Winterfeldt, D. Ihle, Phys. Rev. B, 58 (1998), 9402 | DOI

[13] J. Kondo, K. Yamaji, Progr. Theor. Phys., 47 (1972), 807 ; H. Shimahara, S. Takada, J. Phys. Soc. Japan, 61 (1992), 989 | DOI | DOI

[14] S. Winterfeldt, D. Ihle, Phys. Rev. B, 59 (1999), 6010 | DOI

[15] D. N. Zubarev, UFN, 71 (1960), 71 | DOI | MR

[16] I. Sega, P. Prelovšek, J. Bonča, Phys. Rev. B, 68 (2003), 054524 | DOI

[17] D. Forster, Gidrodinamicheskie fluktuatsii, narushennaya simmetriya i korrelyatsionnye funktsii, Atomizdat, M., 1980

[18] H. Mori, Progr. Theor. Phys., 33 (1965), 423 | DOI | Zbl

[19] V. P. Kalashnikov, TMF, 34 (1978), 412

[20] V. G. Vaks, A. I. Larkin, S. A. Pikin, ZhETF, 53 (1967), 281; 1089

[21] P. W. Anderson, Science, 235 (1987), 1196 | DOI | MR

[22] J. Hubbard, Proc. Roy. Soc. A, 285 (1965), 542 | DOI | MR

[23] F. C. Zhang, T. M. Rice, Phys. Rev. B, 37 (1988), 3759 ; L. F. Feiner, J. H. Jefferson, R. Raimondi, Phys. Rev. B, 53 (1996), 8751 ; V. Yu. Yushankhai, V. S. Oudovenko, R. Hayn, Phys. Rev. B, 55 (1997), 15562 | DOI | DOI | DOI