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. 
@article{TMF_2005_145_2_a8,
     author = {A. A. Vladimirov and D. Ihle and N. M. Plakida},
     title = {Dynamical {Spin} {Susceptibility} in the $t$--$J$ {Model:} {The} {Memory} {Function} {Method}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {240--255},
     publisher = {mathdoc},
     volume = {145},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_2_a8/}
}
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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/