Geodesic
Resonant States in High-Temperature Superconductors with Impurities
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 2, pp. 299-311

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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. 
@article{TMF_2003_136_2_a8,
     author = {Zh. Kovachevich and N. M. Plakida and R. Khain},
     title = {Resonant {States} in {High-Temperature} {Superconductors} with {Impurities}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {299--311},
     publisher = {mathdoc},
     volume = {136},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_136_2_a8/}
}
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Zh. Kovachevich; N. M. Plakida; R. Khain. Resonant States in High-Temperature Superconductors with Impurities. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 2, pp. 299-311. http://geodesic.mathdoc.fr/item/TMF_2003_136_2_a8/