Magnon Spectra of Cuprates beyond Spin Wave Theory
arXiv:2407.20501 · doi:10.1103/PhysRevResearch.7.L012053
Abstract
The usual starting point for understanding magnons in cuprate antiferromagnets such as LaCuO is a spin model incorporating cyclic exchange, which descends from a one-band Hubbard model, and has parameters taken from fits based on non-interacting spin wave theory. Here we explore whether this provides a reliable description of experiment, using matrix product states (MPS) to calculate magnon spectra beyond spin wave theory. We find that analysis based on low orders of spin wave theory leads to systematic overestimates of exchange parameters, with corresponding errors in estimates of Hubbard . Once these are corrected, the ''standard'' model provides a good account of magnon dispersion and lineshape in LaCuO, but fails to fully capture the continuum observed at high energies. The extension of this analysis to CaCuO and SrIrO is also discussed.
arXiv comment8 pages, 3 figures, supplementary material; Published Version
References in corpus (56)
- The density-matrix renormalization group in the age of matrix product states
- Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
- Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
- Time-dependent variational principle for quantum lattices
- Unifying time evolution and optimization with matrix product states
- Spin waves and electronic interactions in La2CuO4
- Isospin Dynamics in Sr2IrO4 : Forging Links to Cuprate Superconductivity
- Twisted Hubbard Model for Sr2IrO4: Magnetism and Possible High Temperature Superconductivity
- Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
- Spin Liquid Ground State of the Spin-1/2 Square - Heisenberg Model
- Absence of superconductivity in the pure two-dimensional Hubbard model
- Spontaneous Magnon Decays
- Fractional excitations in the square-lattice quantum antiferromagnet
- Tangent-space methods for uniform matrix product states
- Anomalous High-Energy Spin Excitations in La2CuO4
- Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
- Two-dimensional Heisenberg behavior of Jeff = 1/2 isospins in the paramagnetic state of spin-orbital Mott insulator Sr2IrO4
- Dynamics of the Kitaev-Heisenberg Model
- Coexistence of superconductivity with partially filled stripes in the Hubbard model
- Spin excitations in a single LaCuO layer
- Influence of apical oxygen on the extent of in-plane exchange interaction in cuprate superconductors
- Quantum dynamics and entanglement of spins on a square lattice
- Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
- The Structure of Operators in Effective Particle-Conserving Models
- High-energy magnon dispersion and multi-magnon continuum in the two-dimensional Heisenberg antiferromagnet
- Square Lattice Iridates
- Ab initio effective Hamiltonians for cuprate superconductors
- Infinite boundary conditions for matrix product state calculations
- Weak ferromagnetism in antiferromagnets: FeO and LaCuO
- Nature of Spin Excitations in Two-dimensional Mott Insulators: Undoped Cuprates and Other Materials
- The antiferromagnetic spin-1/2 Heisenberg model on the square lattice in a magnetic field
- Crystal structure and high-field magnetism of La2CuO4
- Spin Excitations in La2CuO4: Consistent Description by Inclusion of Ring-Exchange
- 1/S-expansion study of spin waves in a two-dimensional Heisenberg antiferromagnet
- Roton minimum as fingerprint of magnon-Higgs scattering in ordered quantum antiferromagnets
- Spin-wave excitation spectra and spectral weights in square lattice antiferromagnets
- 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
- Effective Hamiltonian for cuprate superconductors derived from multi-scale ab initio scheme with level renormalization
- Mutually attracting spin waves in the square-lattice quantum antiferromagnet
- Neel order, ring exchange and charge fluctuations in the half-filled Hubbard model
- Spin Excitation Spectra of Anisotropic Spin- Triangular Lattice Heisenberg Antiferromagnets
- Quantum Dynamics of the Square-Lattice Heisenberg Model
- The importance of XY anisotropy in Sr2IrO4 revealed by magnetic critical scattering experiments
- Spin-Wave Theory and Finite-Size Scaling for the Heisenberg Antiferromagnet
- Spin correlations in the paramagnetic phase and ring exchange in lanthanum cuprate
- Anisotropic exchange and spin-wave damping in pure and electron-doped SrIrO
- The Jeff=1/2 antiferromagnet Sr2IrO4: A golden avenue toward new physics and functions
- Multiple-magnon excitations shape the spin spectrum of cuprate parent compounds
- Quantum renormalization of high energy excitations in the 2D Heisenberg antiferromagnet
- Fractional spin excitations in the infinite-layer cuprate CaCuO
- Dynamical spin susceptibility in La2CuO4 studied by resonant inelastic x-ray scattering
- Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice
- Superconductivity studied by solving ab initio low-energy effective Hamiltonians for carrier doped CaCuO, BiSrCuO, BiSrCaCuO, and HgBaCuO
- Spin-wave thermodynamics of square-lattice antiferromagnets revisited
- Magnon interactions in a moderately correlated Mott insulator
- Calculation of the four-spin cyclic exchange in cuprates