Unified quantitative model for magnetic and electronic spectra of the undoped cuprates

Abstract

Using low-energy projection of the one-band t-t'-t"-Hubbard model we derive an effective spin-Hamiltonian and its spin-wave expansion to order 1/S. We fit the spin-wave dispersion of several parent compounds to the high-temperature superconducting cuprates: La2CuO4, Sr2CuO2Cl2 and Bi2Sr2YCu2O8. Our accurate quantitative determination of the one-band Hubbard model parameters allows prediction and comparison to experimental results of measurable quantities such as staggered moment, double occupancy density, spin-wave velocity and bimagnon excitation spectrum and density of states, which is discussed in relation to K-edge RIXS and Raman experiments.

References in corpus (13)

• A universal high energy anomaly in angle resolved photoemission spectra of high temperature superconductors - possible evidence of spinon and holon branches
• Anomalous High-Energy Spin Excitations in La2CuO4
• Bare electron dispersion from photoemission experiments
• Self-consistent self-energy analysis of photoemission data
• Quantum dynamics and entanglement of spins on a square lattice
• Anomalous high energy dispersion in photoemission spectra from insulating cuprates
• Measurement of magnetic excitations in the two-dimensional antiferromagnetic Sr2CuO2Cl2 insulator using resonant x-ray scattering:Evidence for extended interactions
• "Waterfalls" in cuprates
• "Waterfalls" phenomenon in superconducting cuprates
• Low energy theory of the t-t'-t''-U Hubbard Model at half-filling: interaction strengths in cuprate superconductors and an effective spin-only description of La_2CuO_4
• The Two-Dimensional Square-Lattice S=1/2 Antiferromagnet Cu(pz)${}_2$(ClO${}_4$)${}_2$
• Magnetic nature of the 500 meV peak in $\mathrm{L}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{S}{\mathrm{r}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$ observed with resonant inelastic x-ray scattering at the Cu $K$-edge
• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets

Cited by in corpus (38)

• Fractional excitations in the square-lattice quantum antiferromagnet
• Spin excitations in a single La${}_2$CuO${}_4$ layer
• Influence of apical oxygen on the extent of in-plane exchange interaction in cuprate superconductors
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• Quantum Critical Points and the Sign Problem
• Insights into the High Temperature Superconducting Cuprates from Resonant Inelastic X-ray Scattering
• Block magnetic excitations in the orbitally selective Mott insulator BaFe2Se3
• Superconductivity, Antiferromagnetism, and Neutron Scattering
• The Hubbard model on the honeycomb lattice: from static and dynamical mean-field theories to lattice quantum Monte Carlo simulations
• Strain-Engineering Mott-Insulating La${}_2$CuO${}_4$
• Evidence of quantum dimer excitations in Sr${}_3$Ir${}_2$O${}_7$
• Kinetic-energy driven superconductivity in cuprate superconductors
• The importance of XY anisotropy in Sr2IrO4 revealed by magnetic critical scattering experiments
• Investigating ultrafast quantum magnetism with machine learning
• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• A resonant inelastic x-ray scattering study of the spin and charge excitations in the overdoped superconductor La1.77Sr0.23CuO4
• Plaquette Valence Bond Theory of High-Temperature Superconductivity
• Multiple-magnon excitations shape the spin spectrum of cuprate parent compounds
• Damped spin excitations in a doped cuprate superconductor with orbital hybridization
• Universality and Critical Exponents of the Fermion Sign Problem
• Magnetic properties and Mott transition in the square-lattice Hubbard model with frustration
• Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice
• Quantum and thermal ionic motion, oxygen isotope effect, and superexchange distribution in La${}_2$CuO${}_4$
• Spin vestigial orders in extended Heisenberg-Kitaev models near hidden SU(2) points: Application to Na${}_2$Co${}_2$TeO${}_6$
• Ferrimagnetism from triple-q order in Na${}_2$Co${}_2$TeO${}_6$
• Resonant inelastic X-ray scattering study of spin-wave excitations in the cuprate parent compound Ca${}_2$CuO${}_2$Cl${}_2$
• Strain-Tuned Magnetic Frustration in a Square Lattice $J_1$-$J_2$ Material
• Magnetic excitations from the two-dimensional interpenetrating Cu framework in Ba${}_2$Cu${}_3$O${}_4$Cl${}_2$
• Magnon interactions in a moderately correlated Mott insulator
• Dynamical spin response in cuprate superconductors from low-energy to high-energy
• Electronic and magnetic excitations in the "half-stuffed" Cu--O planes of Ba${}_2$Cu${}_3$O${}_4$Cl${}_2$ measured by resonant inelastic x-ray scattering
• Paramagnon dispersion and damping in doped Na${}_x$Ca${}_{2-x}$CuO${}_2$Cl${}_2$
• Resource-optimized fault-tolerant simulation of the Fermi-Hubbard model and high-temperature superconductor models
• First principle prediction of structural distortions in the cuprates and their impact on the electronic structure
• Temperature dependence of the $(\pi ,0)$ anomaly in the excitation spectrum of the 2D quantum Heisenberg antiferromagnet
• Higher order spin interactions mediated by the substrate
• Bimagnon dispersion of La2CuO4 probed by resonant inelastic X-ray scattering
• Magnetic Excitations of a Half-Filled Tl-based Cuprate