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Title: High T{sub c} in cuprates as a universal property of the electron–phonon system

Abstract

The Eliashberg theory, which is generalized due to peculiar properties of the finite-width electron band for electron–phonon (EP) systems with a variable electron density of states (DOS), as well as with allowance for the electron–hole nonequivalence of the frequency behavior of the chemical potential renormalization depending on the doping level and electron correlations in the vertex function, is used to study T{sub c} in cuprates. The phonon contribution to the nodal anomalous electron Green’s function (GF) is considered. Pairing within the total width of the electron band, and not only in a narrow layer at the Fermi surface, is taken into account. The calculated frequency and temperature dependences, as well as the dependence on the doping level of the complex renormalization ReZ, ImZ of the mass, complex renormalization Reχ(ω), Imχ(ω) of the chemical potential, and DOS N(ε) renormalized due to the EP interaction are used to calculate the electron nodal anomalous GF. It is found that the effect of suppressing the high-frequency contribution to the Eliashberg equations derived anew for the EP system with a finite width of the electron band is a decisive factor for the manifestation of the effect of high-temperature superconductivity (HTSC). It is shown that inmore » the vicinity of the optimal hole-type doping level in cuprates, the high value of T{sub c} is reproduced by the spectral function of the electron–phonon interaction, which is obtained from tunneling experiments. Upon an increase in the doping level, leading to an increase in the degree of electron–hole nonequivalence, the new logarithmic term appearing in the equations for T{sub c} has a tendency to increase T{sub c}, while intensification of damping of charge carriers (especially suppression of the cutoff factor) leads to a decrease in T{sub c}.« less

Authors:
 [1]
  1. National Research Centre Kurchatov Institute (Russian Federation)
Publication Date:
OSTI Identifier:
22472132
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 121; Journal Issue: 2; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CHARGE CARRIERS; CUPRATES; ELECTRON CORRELATION; ELECTRON DENSITY; ELECTRONS; FERMI LEVEL; GORKOV-ELIASHBERG THEORY; GREEN FUNCTION; HIGH-TC SUPERCONDUCTORS; HOLES; LAYERS; PHONONS; RENORMALIZATION; SPECTRAL FUNCTIONS; SUPERCONDUCTIVITY; TEMPERATURE DEPENDENCE; TUNNEL EFFECT; VERTEX FUNCTIONS

Citation Formats

Mazur, E. A., E-mail: eugen-masur@mail.ru, and Kagan, Yu. High T{sub c} in cuprates as a universal property of the electron–phonon system. United States: N. p., 2015. Web. doi:10.1134/S1063776115080117.
Mazur, E. A., E-mail: eugen-masur@mail.ru, & Kagan, Yu. High T{sub c} in cuprates as a universal property of the electron–phonon system. United States. https://doi.org/10.1134/S1063776115080117
Mazur, E. A., E-mail: eugen-masur@mail.ru, and Kagan, Yu. Sat . "High T{sub c} in cuprates as a universal property of the electron–phonon system". United States. https://doi.org/10.1134/S1063776115080117.
@article{osti_22472132,
title = {High T{sub c} in cuprates as a universal property of the electron–phonon system},
author = {Mazur, E. A., E-mail: eugen-masur@mail.ru and Kagan, Yu.},
abstractNote = {The Eliashberg theory, which is generalized due to peculiar properties of the finite-width electron band for electron–phonon (EP) systems with a variable electron density of states (DOS), as well as with allowance for the electron–hole nonequivalence of the frequency behavior of the chemical potential renormalization depending on the doping level and electron correlations in the vertex function, is used to study T{sub c} in cuprates. The phonon contribution to the nodal anomalous electron Green’s function (GF) is considered. Pairing within the total width of the electron band, and not only in a narrow layer at the Fermi surface, is taken into account. The calculated frequency and temperature dependences, as well as the dependence on the doping level of the complex renormalization ReZ, ImZ of the mass, complex renormalization Reχ(ω), Imχ(ω) of the chemical potential, and DOS N(ε) renormalized due to the EP interaction are used to calculate the electron nodal anomalous GF. It is found that the effect of suppressing the high-frequency contribution to the Eliashberg equations derived anew for the EP system with a finite width of the electron band is a decisive factor for the manifestation of the effect of high-temperature superconductivity (HTSC). It is shown that in the vicinity of the optimal hole-type doping level in cuprates, the high value of T{sub c} is reproduced by the spectral function of the electron–phonon interaction, which is obtained from tunneling experiments. Upon an increase in the doping level, leading to an increase in the degree of electron–hole nonequivalence, the new logarithmic term appearing in the equations for T{sub c} has a tendency to increase T{sub c}, while intensification of damping of charge carriers (especially suppression of the cutoff factor) leads to a decrease in T{sub c}.},
doi = {10.1134/S1063776115080117},
url = {https://www.osti.gov/biblio/22472132}, journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 2,
volume = 121,
place = {United States},
year = {2015},
month = {8}
}