This article is cited in 1 paper

Resonant States in High-Temperature Superconductors with Impurities

Zh. Kovachevich^ab, N. M. Plakida^a, R. Khain<sup>c

a</sup> Joint Institute for Nuclear Research
^b University of Montenegro
^c Leibniz Institute for Solid State and Material Research

Abstract: A microscopic theory of resonant states for the $\mathrm{Zn}$-doped $\mathrm{CuO}_2$ plane in the superconducting phase is formulated in the effective $t$–$J$ model. In the model derived from the original $p$–$d$ model, $\mathrm{Zn}$ impurities are considered as vacancies for the d states at $\mathrm{Cu}$ sites. In the superconducting phase, in addition to the local static perturbation induced by the vacancy, a dynamical perturbation appears that results in a frequency-dependent perturbation matrix. Using the $T$-matrix formalism for the Green's functions in terms of the Hubbard operators, we calculate the local density of electronic states with $d$, $p$, and $s$ symmetries.

Keywords: high-temperature superconductors, impurities, resonance states, $t$–$J$ model.

Received: 02.09.2002

DOI: 10.4213/tmf224

 English version: Theoretical and Mathematical Physics, 2003, 136:2, 1155–1166

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