Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Physical Society of Japan

Theory of Antiferromagnetic Correlations in High-Tc Cuprates

Masatoshi Imada

Published Mar 15, 1994• 17 citations
Publisher

Abstract

A phenomenological theory of the antiferromagnetic correlations in cuprates is constructed from analyses of recent numerical results of the Hubbard model. Two crossover temperatures are predicted to exist. In three regions divided by the two crossover temperatures, we present a qualitative but explicit form of doping and temperature dependences of the dynamical susceptibility χ( q , ω), which agrees with NMR and neutron scattering data of cuprates. It solves recent controversy between these two experimental results and provides us with a unified picture of antiferromagnetic correlation in cuprates.

DOI
10.1143/jpsj.63.851

Related papers

Crossover to non-Fermi-liquid spin dynamics in cuprates

J. Bonča, Peter Prelovšek, Igor Sega

The antiferromagnetic spin correlation function ${S}_{\mathbf{Q}}$, the staggered spin susceptibility ${\ensuremath{\chi}}_{\mathbf{Q}}$, and the energy scale ${\ensuremath{\omega}}_{FL}={S}_{\mathbf{Q}}∕{\ensuremath{\chi}}_{\mathbf{Q}}$ are studied numerically within the $t\text{\ensuremath{-}}J$ model and the Hubbard model, as relevant to cuprates. It is shown that ${\ensuremath{\omega}}_{FL}$, related to the onset of the non-Fermi-liquid spin response at $T>{\ensuremath{\omega}}_{FL}$, is very low in the regime below the ``optimum'' hole doping ${c}_{h}<{c}_{h}^{*}\ensuremath{\sim}0.16$, while it shows a steep increase in the overdoped regime. A quantitative analysis of the NMR spin-spin relaxation rate $1∕{T}_{2G}$ for various cuprates reveals a similar behavior, indicating a pronounced crossover between a Fermi-liquid and a non-Fermi-liquid behavior as a function of doping.

arXiv:cond-mat/0403165•Physical Review B•Dec 6, 2004•4 citations

Pairing correlations in the cuprates: A numerical study of the three-band Hubbard model

Peizhi Mai, Giovanni Balduzzi, Steven Johnston +1 more

We study the three-band Hubbard model for the copper oxide plane of the high-temperature superconducting cuprates using determinant quantum Monte Carlo and the dynamical cluster approximation (DCA) and provide a comprehensive view of the pairing correlations in this model using these methods. Specifically, we compute the pair-field susceptibility and study its dependence on temperature, doping, interaction strength, and charge-transfer energy. Using the DCA, we also solve the Bethe-Salpeter equation for the two-particle Green's function in the particle-particle channel to determine the transition temperature to the superconducting phase on smaller clusters. Our calculations reproduce many aspects of the cuprate phase diagram and indicate that there is an ``optimal'' value of the charge-transfer energy for the model where ${T}_{c}$ is largest. These results have implications for our understanding of superconductivity in both the cuprates and other doped charge-transfer insulators.

arXiv:2101.10965•Physical review. B./Physical review. B•Apr 19, 2021•24 citations

Short-Range Antiferromagnetic Correlations and the Photoemission Spectrum

Bulut, N.

We present Quantum Monte Carlo results on the antiferromagnetic correlations and the one-electron excitations of the doped two-dimensional Hubbard model. These results are helpful in interpreting the NMR, neutron scattering and photoemission experiments on the layered cuprates.

arXiv:cond-mat/9606198•Jun 26, 1996•0 citations

Thermodynamic properties of the t-J-U model in the context of high-Tc cuprates

Chumki Tarafdar, Krishanu Roy, Nanda Kumar Ghosh

Some thermodynamic properties of the high-Tc cuprates have been studied using t-J-U model at different doping (<h>) by an exact method on a tilted square cluster. Low temperature specific heat curves show single-peak structure where the peak-height decreases with increasing <h>. The system becomes more disordered with decreasing hole occupancy. The extrapolation of all reciprocal susceptibility (χ-1) curves intercept at a negative temperature ΘN which suggests an antiferromagnetic correlation in the system.

AIP conference proceedings•Jan 1, 2021•1 citation

Doping- and temperature-dependent electronic structure and spin dynamics in the Hubbard model on a square lattice within cluster perturbation theory

V. I. Kuz'min, S. G. Ovchinnikov

The doping and temperature dependencies of the electronic structure and the dynamic spin susceptibility of the Hubbard model on a square lattice are studied within cluster perturbation theory (CPT). The most general features of both electronic and spin spectra qualitatively agree with the experimental data on cuprates. Generalized mean-field calculations of the electronic structure using static short-range magnetic correlations from CPT are also implemented and compared with the results of CPT, allowing us to discuss the role of short-range antiferromagnetism in the formation of the pseudogap.

arXiv:2606.01716•Jun 1, 2026•0 citations

Finite-temperature properties of doped antiferromagnets

Janez Jaklič, Peter Prelovšek

We review recent results for the properties of doped antiferromagnets, obtained by the numerical analysis of the planar t-J model using the novel finite-temperature Lanczos method for small correlated systems. First we briefly summarize our present understanding of anomalous normal-state properties of cuprates, and present the electronic phase diagram, phenomenological scenarios and models proposed in this connection. The numerical method is then described in more detail. The following sections are devoted to various static and dynamical properties of the t-J model. Among the thermodynamic properties the chemical potential, entropy and the specific heat are evaluated. Discussing electrical properties the emphasis is on the planar optical conductivity and the d.c. resistivity. Magnetic properties involve the static and dynamical spin structure factor, as measured via the susceptibility measurements, the NMR relaxation and the neutron scattering, as well as the orbital current contribution. The analysis of electron spectral functions, studied by photoemission experiments, and their relation to the c-axis conductivity, follows. Finally we discuss density fluctuations, the electronic Raman scattering and the thermoelectric power. Whenever feasible a comparison with experimental data is performed. A general conclusion is that the t-J model captures well the main features of anomalous normal-state properties of cuprates, for a number of quantities the agreement is even a quantitative one. It is shown that several dynamical quantities exhibit at intermediate doping a novel universal behaviour consistent with a marginal Fermi-liquid concept, which seems to emerge from a large degeneracy of states and a frustration induced by doping the antiferro magnet.

arXiv:cond-mat/9803331•Advances In Physics•Jan 1, 2000•285 citations
A phenomenological theory of the antiferromagnetic correlations in cuprates is constructed from analyses of recent numerical results of the Hubbard model. Two crossover temperatures are predicted to exist. In three regions divided by the two crossover temperatures, we present a qualitative but explicit form of doping and temperature dependences of the dynamical susceptibility χ( q , ω), which agrees with NMR and neutron scattering data of cuprates. It solves recent controversy between these two experimental results and provides us with a unified picture of antiferromagnetic correlation in cuprates.
The antiferromagnetic spin correlation function SQ{S}_{\mathbf{Q}}SQ​, the staggered spin susceptibility ${\ensuremath{\chi}}_{\mathbf{Q}}$, and the energy scale ${\ensuremath{\omega}}_{FL}={S}_{\mathbf{Q}}∕{\ensuremath{\chi}}_{\mathbf{Q}}$ are studied numerically within the $t\text{\ensuremath{-}}J$ model and the Hubbard model, as relevant to cuprates. It is shown that ${\ensuremath{\omega}}_{FL}$, related to the onset of the non-Fermi-liquid spin response at $T>{\ensuremath{\omega}}_{FL}$, is very low in the regime below the ``optimum'' hole doping ${c}_{h}<{c}_{h}^{*}\ensuremath{\sim}0.16$, while it shows a steep increase in the overdoped regime. A quantitative analysis of the NMR spin-spin relaxation rate 1∕T2G1∕{T}_{2G}1∕T2G​ for various cuprates reveals a similar behavior, indicating a pronounced crossover between a Fermi-liquid and a non-Fermi-liquid behavior as a function of doping.
We study the three-band Hubbard model for the copper oxide plane of the high-temperature superconducting cuprates using determinant quantum Monte Carlo and the dynamical cluster approximation (DCA) and provide a comprehensive view of the pairing correlations in this model using these methods. Specifically, we compute the pair-field susceptibility and study its dependence on temperature, doping, interaction strength, and charge-transfer energy. Using the DCA, we also solve the Bethe-Salpeter equation for the two-particle Green's function in the particle-particle channel to determine the transition temperature to the superconducting phase on smaller clusters. Our calculations reproduce many aspects of the cuprate phase diagram and indicate that there is an ``optimal'' value of the charge-transfer energy for the model where Tc{T}_{c}Tc​ is largest. These results have implications for our understanding of superconductivity in both the cuprates and other doped charge-transfer insulators.
Some thermodynamic properties of the high-Tc cuprates have been studied using t-J-U model at different doping (<h>) by an exact method on a tilted square cluster. Low temperature specific heat curves show single-peak structure where the peak-height decreases with increasing <h>. The system becomes more disordered with decreasing hole occupancy. The extrapolation of all reciprocal susceptibility (χ-1) curves intercept at a negative temperature ΘN which suggests an antiferromagnetic correlation in the system.
The doping and temperature dependencies of the electronic structure and the dynamic spin susceptibility of the Hubbard model on a square lattice are studied within cluster perturbation theory (CPT). The most general features of both electronic and spin spectra qualitatively agree with the experimental data on cuprates. Generalized mean-field calculations of the electronic structure using static short-range magnetic correlations from CPT are also implemented and compared with the results of CPT, allowing us to discuss the role of short-range antiferromagnetism in the formation of the pseudogap.
We review recent results for the properties of doped antiferromagnets, obtained by the numerical analysis of the planar t-J model using the novel finite-temperature Lanczos method for small correlated systems. First we briefly summarize our present understanding of anomalous normal-state properties of cuprates, and present the electronic phase diagram, phenomenological scenarios and models proposed in this connection. The numerical method is then described in more detail. The following sections are devoted to various static and dynamical properties of the t-J model. Among the thermodynamic properties the chemical potential, entropy and the specific heat are evaluated. Discussing electrical properties the emphasis is on the planar optical conductivity and the d.c. resistivity. Magnetic properties involve the static and dynamical spin structure factor, as measured via the susceptibility measurements, the NMR relaxation and the neutron scattering, as well as the orbital current contribution. The analysis of electron spectral functions, studied by photoemission experiments, and their relation to the c-axis conductivity, follows. Finally we discuss density fluctuations, the electronic Raman scattering and the thermoelectric power. Whenever feasible a comparison with experimental data is performed. A general conclusion is that the t-J model captures well the main features of anomalous normal-state properties of cuprates, for a number of quantities the agreement is even a quantitative one. It is shown that several dynamical quantities exhibit at intermediate doping a novel universal behaviour consistent with a marginal Fermi-liquid concept, which seems to emerge from a large degeneracy of states and a frustration induced by doping the antiferro magnet.