The two-time Green's function and the diagram technique

被引:14
|
作者
Plakida, N. M. [1 ]
机构
[1] Joint Inst Nucl Res, Dubna, Moscow Oblast, Russia
关键词
dynamical spin susceptibility; Heisenberg model; retarded Green's function; advanced Green's function; Tyablikov decoupling; diagram technique for spin Green's functions; 2-DIMENSIONAL HEISENBERG-MODEL; SHORT-RANGE ORDER; T-J MODEL; HUBBARD-MODEL; SPIN-WAVE; EQUATIONS; FERROMAGNET; MOTION;
D O I
10.1007/s11232-011-0107-x
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on constructing the equations of motion for the two-time Green's functions, we discuss calculating the dynamical spin susceptibility and correlation functions in the Heisenberg model. Using a Mori-type projection, we derive an exact Dyson equation with the self-energy operator in the form of a multiparticle Green's function. Calculating the self-energy operator in the mode-coupling approximation in the ferromagnetic phase, we reproduce the results of the temperature diagram technique, including the correct formula for low-temperature magnetization. We also consider calculating the spin fluctuation spectrum in the paramagnetic phase in the framework of the method of equations of motion for the relaxation function.
引用
收藏
页码:1303 / 1317
页数:15
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