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Title: Effect of canted antiferromagnetic order on the electronic structure in the t–J* model within the cluster perturbation theory

Abstract

The electronic structure in the two-dimensional t–J* model with canted antiferromagnetic order in an external magnetic field has been calculated within the cluster perturbation theory. In zero external field, the evolution of the Fermi surface with n-type doping has been obtained in good agreement with experimental data on cuprate superconductors. It has been shown that the inclusion of short-range correlations can result in a nonmonotonic dependence of the spectral weight distribution at the Fermi level on the external magnetic field. In contrast to the case of electron doping, such changes in the case of hole doping can be expected at experimentally achievable fields.

Authors:
; ;  [1]
  1. Russian Academy of Sciences, Kirensky Institute of Physics, Siberian Branch (Russian Federation)
Publication Date:
OSTI Identifier:
22617179
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 123; Journal Issue: 3; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANTIFERROMAGNETISM; COMPUTERIZED SIMULATION; CORRELATIONS; CUPRATES; DISTRIBUTION; DISTURBANCES; ELECTRONIC STRUCTURE; ELECTRONS; FERMI LEVEL; MAGNETIC FIELDS; N-TYPE CONDUCTORS; PERTURBATION THEORY; P-TYPE CONDUCTORS; SUPERCONDUCTORS; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS

Citation Formats

Kuz’min, V. I., E-mail: kuz@iph.krasn.ru, Nikolaev, S. V., and Ovchinnikov, S. G. Effect of canted antiferromagnetic order on the electronic structure in the t–J* model within the cluster perturbation theory. United States: N. p., 2016. Web. doi:10.1134/S1063776116090065.
Kuz’min, V. I., E-mail: kuz@iph.krasn.ru, Nikolaev, S. V., & Ovchinnikov, S. G. Effect of canted antiferromagnetic order on the electronic structure in the t–J* model within the cluster perturbation theory. United States. doi:10.1134/S1063776116090065.
Kuz’min, V. I., E-mail: kuz@iph.krasn.ru, Nikolaev, S. V., and Ovchinnikov, S. G. Thu . "Effect of canted antiferromagnetic order on the electronic structure in the t–J* model within the cluster perturbation theory". United States. doi:10.1134/S1063776116090065.
@article{osti_22617179,
title = {Effect of canted antiferromagnetic order on the electronic structure in the t–J* model within the cluster perturbation theory},
author = {Kuz’min, V. I., E-mail: kuz@iph.krasn.ru and Nikolaev, S. V. and Ovchinnikov, S. G.},
abstractNote = {The electronic structure in the two-dimensional t–J* model with canted antiferromagnetic order in an external magnetic field has been calculated within the cluster perturbation theory. In zero external field, the evolution of the Fermi surface with n-type doping has been obtained in good agreement with experimental data on cuprate superconductors. It has been shown that the inclusion of short-range correlations can result in a nonmonotonic dependence of the spectral weight distribution at the Fermi level on the external magnetic field. In contrast to the case of electron doping, such changes in the case of hole doping can be expected at experimentally achievable fields.},
doi = {10.1134/S1063776116090065},
journal = {Journal of Experimental and Theoretical Physics},
number = 3,
volume = 123,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2016},
month = {Thu Sep 15 00:00:00 EDT 2016}
}
  • The concentration dependences of the band structure, spectral weight, density of states, and Fermi surface in the paramagnetic state are studied in the Hubbard model within cluster pertubation theory with 2 Multiplication-Sign 2 clusters. Representation of the Hubbard X operators makes it possible to control conservation of the spectral weight in constructing cluster perturbation theory. The calculated value of the ground-state energy is in good agreement with the results obtained using nonperturbative methods such as the quantum Monte Carlo method, exact diagonalization of a 4 Multiplication-Sign 4 cluster, and the variational Monte Carlo method. It is shown that in themore » case of hole doping, the states in the band gap (in-gap states) lie near the top of the lower Hubbard band for large values of U and near the bottom of the upper band for small U. The concentration dependence of the Fermi surface strongly depends on hopping to second (t Prime ) and third (t Double-Prime ) neighbors. For parameter values typical of HTSC cuprates, the existence of three concentration regions with different Fermi surfaces is demonstrated. It is shown that broadening of the spectral electron density with an energy resolution typical of contemporary ARPES leads to a pattern of arcs with a length depending on the concentration. Only an order-of-magnitude decrease in the linewidth makes it possible to obtain the true Fermi surface from the spectral density. The kinks associated with strong electron correlations are detected in the dispersion relation below the Fermi level.« less
  • We apply a finite-temperature functional-integral approach by means of which Arovas and Auerbach analyzed low-dimensional Heisenberg spin models to the {ital t}-{ital J} model in the slave-fermion representation. Using a perturbation theory of the {ital t}-{ital J} model for {ital t}{much lt}{ital J}, self-consistent equations are derived for finite hole concentration that reduce to those in the case of the pure Heisenberg spin model, i.e., to those of Arovas and Auerbach, and Takahashi as a special case. Numerical solution of the corresponding self-consistent equations for the one-dimensional {ital t}-{ital J} model at sufficiently low temperature suggests that, if the transfermore » {ital t} is not too large, there is a phase-separation state into a hole-rich and a no-hole phase as conjectured recently by Emery {ital et} {ital al}.« less
  • The cluster perturbation theory is presented in the 2D Hubbard model constructed using X operators in the Hubbard-I approximation. The short-range magnetic order is taken into account by dividing the entire lattice into individual 2 x 2 clusters and solving the eigenvalue problem in an individual cluster using exact diagonalization taking into account all excited levels. The case of half-filling taking into account jumps between nearest neighbors is considered. As a result of numerical solution, a shadow zone is discovered in the quasiparticle spectrum. It is also found that a gap in the density of states in the quasiparticle spectrummore » at zero temperature exists for indefinitely small values of Coulomb repulsion parameter U and increases with this parameter. It is found that the presence of this gap in the spectrum is due to the formation of a short-range antiferromagnetic order. An analysis of the temperature evolution of the density of states shows that the metal-insulator transition occurs continuously. The existence of two characteristic energy scales at finite temperatures is demonstrated, the larger scale is associated with the formation of a pseudogap in the vicinity of the Fermi level, and the smaller scale is associated with the metal-insulator transition temperature. A peak in the density of states at the Fermi level, which is predicted in the dynamic mean field theory in the vicinity of the metal-insulator transition, is not observed.« less
  • No abstract prepared.