Universal properties of high-temperature superconductors from real-space pairing: tJU model and its quantitative comparison with experiment

Józef Spałek, Michał Zegrodnik, and Jan Kaczmarczyk
Phys. Rev. B 95, 024506 – Published 13 January 2017

Abstract

Selected universal experimental properties of high-temperature superconducting (HTS) cuprates have been singled out in the last decade. One of the pivotal challenges in this field is the designation of a consistent interpretation framework within which we can describe quantitatively the universal features of those systems. Here we analyze in a detailed manner the principal experimental data and compare them quantitatively with the approach based on a single-band model of strongly correlated electrons supplemented with strong antiferromagnetic (super)exchange interaction (the so-called tJU model). The model rationale is provided by estimating its microscopic parameters on the basis of the three-band approach for the Cu-O plane. We use our original full Gutzwiller wave-function solution by going beyond the renormalized mean-field theory (RMFT) in a systematic manner. Our approach reproduces very well the observed hole doping (δ) dependence of the kinetic-energy gain in the superconducting phase, one of the principal non-Bardeen-Cooper-Schrieffer features of the cuprates. The calculated Fermi velocity in the nodal direction is practically δ-independent and its universal value agrees very well with that determined experimentally. Also, a weak doping dependence of the Fermi wave vector leads to an almost constant value of the effective mass in a pure superconducting phase which is both observed in experiment and reproduced within our approach. An assessment of the currently used models (tJ, Hubbard) is carried out and the results of the canonical RMFT as a zeroth-order solution are provided for comparison to illustrate the necessity of the introduced higher-order contributions.

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  • Received 22 September 2016
  • Revised 18 November 2016

DOI:https://doi.org/10.1103/PhysRevB.95.024506

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Józef Spałek1,*, Michał Zegrodnik2,†, and Jan Kaczmarczyk3

  • 1Marian Smoluchowski Institute of Physics, Jagiellonian University, ul. Łojasiewicza 11, 30-348 Kraków, Poland
  • 2Academic Centre for Materials and Nanotechnology, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Krakow, Poland
  • 3Institute of Science and Technology Austria, Am Campus 1, 3400 Klosterneuburg, Austria

  • *jozef.spalek@uj.edu.pl
  • michal.zegrodnik@agh.edu.pl

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Issue

Vol. 95, Iss. 2 — 1 January 2017

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