DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Phenomenological three-orbital spin-fermion model for cuprates

Abstract

A spin-fermion model that captures the charge-transfer properties of Cu-based high critical temperature superconductors is proposed and investigated via Monte Carlo simulations. The strong Coulomb repulsion among d electrons in the Cu orbitals is phenomenologically replaced by an exchange coupling between the spins of the itinerant electrons and localized spins at the Cu sites, formally similar to double-exchange models for manganites. This interaction induces a charge-transfer insulator gap in the undoped case (five electrons per unit cell). Adding a small antiferromagnetic Heisenberg coupling between localized spins reinforces the global tendency towards antiferromagnetic order. To perform numerical calculations the localized spins are considered classical as in previous related efforts. Here, undoped and doped 8×8 clusters are analyzed in a wide range of temperatures. The numerical results reproduce experimental features in the one-particle spectral function and the density of states, such as: (i) the formation of a Zhang-Rice-like band with a dispersion on the order of ~0.5 eV and with rotational symmetry about the wave-vector (π/2,π/2) at the top of the band and (ii) the opening of a pseudogap at the chemical potential upon doping. We also observed incipient tendencies towards spin incommensurability. This simple model allows for an unbiased study ofmore » charge-transfer insulators and offers a formalism intermediate between standard mean-field approximations that fail at finite temperatures in regimes with short-range order and sophisticated quantum Monte Carlo techniques that suffer sign problems.« less

Authors:
 [1];  [2];  [1];  [1]
  1. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Universität Stuttgart (Germany)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1546552
Alternate Identifier(s):
OSTI ID: 1460749
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; superconducting cuprates; charge-transfer insulator; multi-orbital models

Citation Formats

Hussein, Mostafa Sherif Derbala Aly, Daghofer, Maria, Dagotto, Elbio, and Moreo, Adriana. Phenomenological three-orbital spin-fermion model for cuprates. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.98.035124.
Hussein, Mostafa Sherif Derbala Aly, Daghofer, Maria, Dagotto, Elbio, & Moreo, Adriana. Phenomenological three-orbital spin-fermion model for cuprates. United States. https://doi.org/10.1103/PhysRevB.98.035124
Hussein, Mostafa Sherif Derbala Aly, Daghofer, Maria, Dagotto, Elbio, and Moreo, Adriana. Wed . "Phenomenological three-orbital spin-fermion model for cuprates". United States. https://doi.org/10.1103/PhysRevB.98.035124. https://www.osti.gov/servlets/purl/1546552.
@article{osti_1546552,
title = {Phenomenological three-orbital spin-fermion model for cuprates},
author = {Hussein, Mostafa Sherif Derbala Aly and Daghofer, Maria and Dagotto, Elbio and Moreo, Adriana},
abstractNote = {A spin-fermion model that captures the charge-transfer properties of Cu-based high critical temperature superconductors is proposed and investigated via Monte Carlo simulations. The strong Coulomb repulsion among d electrons in the Cu orbitals is phenomenologically replaced by an exchange coupling between the spins of the itinerant electrons and localized spins at the Cu sites, formally similar to double-exchange models for manganites. This interaction induces a charge-transfer insulator gap in the undoped case (five electrons per unit cell). Adding a small antiferromagnetic Heisenberg coupling between localized spins reinforces the global tendency towards antiferromagnetic order. To perform numerical calculations the localized spins are considered classical as in previous related efforts. Here, undoped and doped 8×8 clusters are analyzed in a wide range of temperatures. The numerical results reproduce experimental features in the one-particle spectral function and the density of states, such as: (i) the formation of a Zhang-Rice-like band with a dispersion on the order of ~0.5 eV and with rotational symmetry about the wave-vector (π/2,π/2) at the top of the band and (ii) the opening of a pseudogap at the chemical potential upon doping. We also observed incipient tendencies towards spin incommensurability. This simple model allows for an unbiased study of charge-transfer insulators and offers a formalism intermediate between standard mean-field approximations that fail at finite temperatures in regimes with short-range order and sophisticated quantum Monte Carlo techniques that suffer sign problems.},
doi = {10.1103/PhysRevB.98.035124},
journal = {Physical Review B},
number = 3,
volume = 98,
place = {United States},
year = {Wed Jul 18 00:00:00 EDT 2018},
month = {Wed Jul 18 00:00:00 EDT 2018}
}

Journal Article:

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Band gaps and electronic structure of transition-metal compounds
journal, July 1985


Pseudogap and superconductivity in two-dimensional doped charge-transfer insulators
journal, June 2016


Ground-state oxygen holes and the metal–insulator transition in the negative charge-transfer rare-earth nickelates
journal, October 2016

  • Bisogni, Valentina; Catalano, Sara; Green, Robert J.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms13017

Correlated electrons in high-temperature superconductors
journal, July 1994


Anderson Hamiltonian description of the experimental electronic structure and magnetic interactions of copper oxide superconductors
journal, December 1987


Resonant photoemission study of Nd 2 x Ce x CuO 4 y : Nature of electronic states near the Fermi level
journal, January 1990


E versus k Relations and Many Body Effects in the Model Insulating Copper Oxide Sr 2 Cu O 2 Cl 2
journal, February 1995


Angle-resolved photoemission studies of the cuprate superconductors
journal, April 2003

  • Damascelli, Andrea; Hussain, Zahid; Shen, Zhi-Xun
  • Reviews of Modern Physics, Vol. 75, Issue 2
  • DOI: 10.1103/RevModPhys.75.473

Effective Hamiltonian for the superconducting Cu oxides
journal, March 1988


Phase diagram and single-particle spectrum of CuO 2 high- T c layers: variational cluster approach to the three-band Hubbard model
journal, May 2009


Calculation of Coulomb-interaction parameters for La 2 CuO 4 using a constrained-density-functional approach
journal, May 1989

  • Hybertsen, Mark S.; Schlüter, Michael; Christensen, Niels E.
  • Physical Review B, Vol. 39, Issue 13
  • DOI: 10.1103/PhysRevB.39.9028

Derivation of a one-band Hubbard model for CuO planar materials
journal, October 1991

  • Bacci, Silvia B.; Gagliano, Eduardo R.; Martin, Richard M.
  • Physical Review B, Vol. 44, Issue 14
  • DOI: 10.1103/PhysRevB.44.7504

Theory of high- T c superconductivity in oxides
journal, June 1987


High-Spin Polaron in Lightly Doped CuO 2 Planes
journal, January 2011


Iron-Based Layered Superconductor La[O 1- x F x ]FeAs ( x = 0.05−0.12) with T c = 26 K
journal, March 2008

  • Kamihara, Yoichi; Watanabe, Takumi; Hirano, Masahiro
  • Journal of the American Chemical Society, Vol. 130, Issue 11
  • DOI: 10.1021/ja800073m

Superconducting Properties of the Fe-Based Layered Superconductor LaFeAsO 0.9 F 0.1 δ
journal, July 2008


Superconductivity at 41 K and Its Competition with Spin-Density-Wave Instability in Layered CeO 1 x F x FeAs
journal, June 2008


Superconductivity at 25 K in hole-doped (La 1-x Sr x )OFeAs
journal, March 2008


Nematic State of Pnictides Stabilized by Interplay between Spin, Orbital, and Lattice Degrees of Freedom
journal, July 2013


Anisotropy of Electrical Transport in Pnictide Superconductors Studied Using Monte Carlo Simulations of the Spin-Fermion Model
journal, July 2012


Magnetic Domains and Stripes in a Spin-Fermion Model for Cuprates
journal, March 2000


Robust D -Wave Pairing Correlations in a Hole-Doped Spin-Fermion Model
journal, April 2002


The dynamics of a doped hole in a cuprate is not controlled by spin fluctuations
journal, October 2014

  • Ebrahimnejad, Hadi; Sawatzky, George A.; Berciu, Mona
  • Nature Physics, Vol. 10, Issue 12
  • DOI: 10.1038/nphys3130

Antiferromagnetism, localization, and pairing in a two-dimensional model for CuO 2
journal, July 1987


Canonical perturbation theory and the two-band model for high- T c superconductors
journal, June 1988


Three-band Hubbard model: A Monte Carlo study
journal, May 1990


Variational Cluster Approach to Correlated Electron Systems in Low Dimensions
journal, November 2003


Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
journal, December 2004


Competition between Antiferromagnetism and Superconductivity in High- T c Cuprates
journal, April 2005


Physics of cuprates with the two-band Hubbard model: The validity of the one-band Hubbard model
journal, April 2005


Single-particle spectral weight of a two-dimensional Hubbard model
journal, August 1992


Ferromagnetic Kondo model for manganites: Phase diagram, charge segregation, and influence of quantum localized spins
journal, September 1998


Optical spectra of La 2 x Sr x CuO 4 : Effect of carrier doping on the electronic structure of the CuO 2 plane
journal, April 1991


Pairing, charge, and spin correlations in the three-band Hubbard model
journal, March 2001


Characterizing the three-orbital Hubbard model with determinant quantum Monte Carlo
journal, April 2016


Density matrix formulation for quantum renormalization groups
journal, November 1992


Density-matrix algorithms for quantum renormalization groups
journal, October 1993


Photoemission spectra of Sr 2 CuO 2 Cl 2 : A theoretical analysis
journal, April 1995


Comparison of 32-site exact-diagonalization results and ARPES spectral functions for the antiferromagnetic insulator Sr 2 CuO 2 Cl 2
journal, September 1997


t - J model and nuclear magnetic relaxation in high- T c materials
journal, September 1989


Derivation of a single-band model for CuO 2 planes by a cell-perturbation method
journal, April 1992


Calculated Momentum Dependence of Zhang-Rice States in Transition Metal Oxides
journal, February 2008


Universal waterfall-like feature in the spectral function of high temperature superconductors
journal, September 2007

  • Graf, J.; Gweon, G. -H.; Lanzara, A.
  • Physica C: Superconductivity and its Applications, Vol. 460-462
  • DOI: 10.1016/j.physc.2007.03.005

Momentum and Energy Dependence of the Anomalous High-Energy Dispersion in the Electronic Structure of High Temperature Superconductors
journal, December 2007


Numerical study of the two-dimensional Hubbard model for various band fillings
journal, February 1990


Incommensurate magnetic fluctuations in La 2 x Sr x CuO 4
journal, September 1991


Incommensurate Magnetic Fluctuations in YBa 2 Cu 3 O 6.6
journal, February 1998


Spin fluctuations in YBa2Cu3O6.6
journal, October 1998

  • Mook, H. A.; Dai, Pengcheng; Hayden, S. M.
  • Nature, Vol. 395, Issue 6702
  • DOI: 10.1038/26931

Coexistence of, and Competition between, Superconductivity and Charge-Stripe Order in La 1 . 6 x Nd 0.4 Sr x CuO 4
journal, January 1997


Striped superconductors: how spin, charge and superconducting orders intertwine in the cuprates
journal, November 2009


Superconductivity at 25 K in hole doped $(La_{1-x}Sr_x)OFeAs$
text, January 2008


High-spin polaron in lightly doped CuO$_2$ planes
text, January 2010


The dynamics of a doped hole in cuprates is not controlled by spin fluctuations
text, January 2014


Pairing, Charge, and Spin Correlations in the Three-Band Hubbard Model
text, January 2000


Magnetic Domains and Stripes in the Spin-Fermion Model for Cuprates
text, January 1999


Works referencing / citing this record:

Minimal-size real-space d -wave pairing operator in CuO 2 planes
journal, December 2019