Gh Adam and S Adam 2007 J. Phys. A: Math. Theor. 40 11205 doi:10.1088/1751-8113/40/37/001
Gh Adam1,2 and S Adam1,2
Show affiliationsThe Green function (GF) equation of motion technique for solving the effective two-band Hubbard model of high-Tc superconductivity in cuprates (Plakida et al 1995 Phys. Rev. B 51 16599, Plakida et al 2003 JETP 97 331) rests on the Hubbard operator (HO) algebra. We show that, if we take into account the invariance to translations and spin reversal, the HO algebra results in invariance properties of several specific correlation functions. The use of these properties allows rigorous derivation and simplification of the expressions of the frequency matrix (FM) and of the generalized mean-field approximation (GMFA) Green functions (GFs) of the model. For the normal singlet-hopping and anomalous exchange pairing correlation functions which enter the FM and GMFA-GFs, an approximation procedure based on the identification and elimination of exponentially small quantities is described. It secures the reduction of the correlation order to GMFA-GF expressions.
74.20.-z Theories and models of superconducting state
74.72.-h Cuprate superconductors (high-Tc and insulating parent compounds)
65T50 Discrete and fast Fourier transforms
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
Issue 37 (14 September 2007)
Received 5 April 2007
Published 29 August 2007
Gh Adam and S Adam 2007 J. Phys. A: Math. Theor. 40 11205
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