Abstract
We analyze several almost exactly solvable models of the electronic spectrum of two-dimensional systems with well-developed short-range-order dielectric (e.g., antiferromagnetic) or superconducting fluctuations that give rise to an anisotropic pseudogap state in certain segments of the Fermi surface. We develop a recurrence procedure for calculating the one-electron Green’s function that is equivalent to summing all Feynman diagrams. The procedure is based on an approximate ansatz for higher order terms in the perturbation series. We do detailed calculations of the spectral densities and the one-electron density of states. Finally, we analyze the limits of the adopted approximations and some important points concerning the substantiation of these approximations.
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Zh. Éksp. Teor. Fiz. 115, 1765–1785 (May 1999)
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Kuchinskii, É.Z., Sadovskii, M.V. Models of the pseudogap state of two-dimensional systems. J. Exp. Theor. Phys. 88, 968–979 (1999). https://doi.org/10.1134/1.558879
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DOI: https://doi.org/10.1134/1.558879