Dynamical Spin Susceptibility in the $t$$J$ Model: The Memory Function Method
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 2, pp. 240-255 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
@article{TMF_2005_145_2_a8,
     author = {A. A. Vladimirov and D. Ihle and N. M. Plakida},
     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},
     pages = {240--255},
     year = {2005},
     volume = {145},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_2_a8/}
}
TY  - JOUR
AU  - A. A. Vladimirov
AU  - D. Ihle
AU  - N. M. Plakida
TI  - Dynamical Spin Susceptibility in the $t$–$J$ Model: The Memory Function Method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2005
SP  - 240
EP  - 255
VL  - 145
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2005_145_2_a8/
LA  - ru
ID  - TMF_2005_145_2_a8
ER  - 
%0 Journal Article
%A A. A. Vladimirov
%A D. Ihle
%A N. M. Plakida
%T Dynamical Spin Susceptibility in the $t$–$J$ Model: The Memory Function Method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2005
%P 240-255
%V 145
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2005_145_2_a8/
%G ru
%F TMF_2005_145_2_a8
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/

[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