Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
arXiv:cond-mat/0508349 · doi:10.1142/S0217984905009237
Abstract
This article summarizes and extends the recent developments in the microscopic modeling of the magnetic excitations in cuprate two-leg ladder systems. The microscopic Hamiltonian comprises dominant Heisenberg exchange terms plus an additional four-spin interaction which is about five times smaller. We give an overview over the relevant energies like the one-triplon dispersion, the energies of two-triplon bound states and the positions of multi-triplon continua and over relevant spectral properties like spectral weights and spectral densities in the parameter regime appropriate for cuprate systems. It is concluded that an almost complete understanding of the magnetic excitations in undoped cuprate ladders has been obtained as measured by inelastic neutron scattering, inelastic light (Raman) scattering and infrared absorption.
arXiv comment26 pages, 10 figures, review for Mod. Phys. Lett. B
References in corpus (54)
- Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
- Spin waves and electronic interactions in La2CuO4
- Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
- Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain
- The Spin Dynamics of the Spin Ladder, Dimer Chain Material Sr14Cu24O41
- Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
- Magnetic excitation spectrum of dimerized antiferromagnetic chains
- A Monte Carlo Study of Correlations in Quantum Spin Ladders
- One-dimensional spin-liquid without magnon excitations
- Phonon Assisted Multimagnon Optical Absorption and Long Lived Two-Magnon States in Undoped Lamellar Copper Oxides
- Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
- Excitations in one-dimensional S=1/2 quantum antiferromagnets
- The Structure of Operators in Effective Particle-Conserving Models
- Effects of biquadratic exchange on the spectrum of elementary excitations in spin ladders
- Hole distribution for (Sr,Ca,Y,La)_14 Cu_24 O_41 ladder compounds studied by x-ray absorption spectroscopy
- Observation of two-magnon bound states in the two-leg ladders of (Ca,La)14Cu24O41
- Theory of Phonon-Assisted Multimagnon Optical Absorption and Bimagnon States in Quantum Antiferromagnets
- Unifying Magnons and Triplons in Stripe-Ordered Cuprate Superconductors
- Bound states of magnons in the S=1/2 quantum spin ladder
- Flow equations for band--matrices
- Fractional and Integer Excitations in Quantum Antiferromagnetic Spin 1/2 Ladders
- Strong-Coupling Expansions for Multiparticle Excitations: Continuum and Bound States
- Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
- Spin Excitations in La2CuO4: Consistent Description by Inclusion of Ring-Exchange
- Does the Heisenberg model describe the multimagnon spin dynamics in antiferromagnetic CuO layers ?
- Linked Cluster Series Expansions for Two-Particle Bound States
- Excitation spectrum of the S=1/2 quantum spin ladder with frustration: elementary quasiparticles and many-particle bound states
- Cyclic Spin Exchange in Cuprate Spin Ladders
- Perturbation theories for the S=1/2 spin ladder with four-spin ring exchange
- Raman Response in Antiferromagnetic Two-Leg S=1/2 Heisenberg Ladders
- Electronic States of doped spin ladders (Sr,Ca)14Cu24O41
- Spin-chirality duality in a spin ladder with four-spin cyclic exchange
- Systematic Mapping of the Hubbard Model to the Generalized t-J Model
- High Order Perturbation Theory for Spectral Densities of Multi-Particle Excitations: S=1/2 Two-Leg Heisenberg Ladder
- Derivation of effective spin models from a three band model for CuO_2-planes
- Spin dynamics of Sr_14Cu_24O_41 two-leg ladder studied by Raman spectroscopy
- Magnetic Properties of (VO)_2P_2O_7 from Frustrated Interchain Coupling
- Phase Diagram of the Heisenberg Spin Ladder with Ring Exchange
- Spectral properties of the dimerized and frustrated chain
- Scalar chiral ground states of spin ladders with four-spin exchanges
- Rung-singlet phase of the S=1/2 two-leg spin-ladder with four-spin cyclic exchange
- Universality class of S=1/2 quantum spin ladder system with the four spin exchange
- Theoretical analysis of magnetic Raman scattering in La2CuO4: two-magnon intensity with the inclusion of ring exchange
- Optical absorption of spin ladders
- Staggered dimer order in S=1/2 quantum spin ladder system with four spin exchange
- Raman Response of Magnetic Excitations in Cuprate Ladders and Planes
- Dynamics of spin ladders
- Charge order induced sharp Raman peak in Sr_14Cu_24O_41
- Magnetic excitations in two-leg spin 1/2 ladders: experiment and theory
- Magnetic excitations in SrCu2O3: a Raman scattering study
- Two-magnon Raman scattering in spin-ladder geometries and the ratio of rung and leg exchange constants
- Spectral weight contributions of many-particle bound states and continuum
- Dynamical structure factors of two-leg spin ladder systems
- Optical absorption spectra in SrCu_2O_3 two-leg spin ladder
Cited by in corpus (53)
- Confinement of fractional quantum number particles in a condensed matter system
- One- and Two-Triplon Spectra of a Cuprate Ladder
- Collective spin excitations in a quantum spin ladder probed by high-resolution Resonant Inelastic X-ray Scattering
- Field-induced Tomonaga-Luttinger liquid phase of a two-leg spin-1/2 ladder with strong leg interactions
- Roton minimum as fingerprint of magnon-Higgs scattering in ordered quantum antiferromagnets
- Scattering particles in quantum spin chains
- Enhanced Perturbative Continuous Unitary Transformations
- Quasiparticle-continuum level repulsion in a quantum magnet
- Adapted continuous unitary transformation to treat systems with quasiparticles of finite lifetime
- Second-order quantum corrections for the frustrated, spatially anisotropic, spin-1/2 Heisenberg antiferromagnet on a square lattice
- Quantum phase transitions in multileg spin ladders with ring exchange
- Topological magnetic excitations
- Temperature in One-Dimensional Bosonic Mott insulators
- Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
- Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering
- Effects of ring exchange interaction on the Neel phase of two-dimensional, spatially anisotropic, frustrated Heisenberg quantum antiferromagnet
- Dynamical Spin Response of Doped Two-Leg Hubbard-like Ladders
- Microscopic model for Bose-Einstein condensation and quasiparticle decay
- Magnetic excitation spectra of strongly correlated quasi-one dimensional systems: Heisenberg versus Hubbard-like behavior
- Competing phases in spin ladders with ring exchange and frustration
- Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
- Derivation of the t-J model for finite doping
- Three-body bound states in antiferromagnetic spin ladders
- Dispersive Excitations in the One-Dimensional Ionic Hubbard Model
- Finite temperature line-shapes of hard-core bosons in quantum magnets: A diagrammatic approach tested in one dimension
- Heat capacity of Schottky type in low-dimensional spin system
- Excitation Spectrum of One-dimensional Extended Ionic Hubbard Model
- Non-trivial topology of the quasi-one-dimensional triplons in the quantum antiferromagnet
- Multi-Particle Spectral Properties in the Transverse Field Ising Model by Continuous Unitary Transformations
- Modelling Magnetic Fluctuations in the Stripe Ordered State
- Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
- Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange: Generalization of the Lieb-Mattis theorem
- Minimal model for the frustrated spin ladder system BiCuPO
- Spin Ladder with Anisotropic Ferromagnetic Legs in a Transverse Magnetic Field
- Crossover of the high-energy spin fluctuations from collective triplons to localized magnetic excitations in doped Sr14-xCaxCu24O41 cuprate ladders
- Varied Perturbation Theory for the Dispersion Dip in the Two-Dimensional Heisenberg Quantum Antiferromagnet
- Truncation errors in self-similar continuous unitary transformations
- Vertex corrections in the dynamic structure factor in spin ladders
- Theory of L-edge resonant inelastic x-ray scattering for magnetic excitations in two-leg spin ladder
- Low temperature thermodynamics of multi-flavored hardcore bosons by the Brückner approach
- Linked Cluster Expansions via Hypergraph Decompositions
- Three-magnon problem for exactly rung-dimerized spin ladders: from general outlook to Bethe Ansatze
- Hardcore Magnons in the S=1/2 Heisenberg Model on the Square Lattice
- Hole Dispersions for Antiferromagnetic Spin-1/2 Two-Leg Ladders by Self-Similar Continuous Unitary Transformations
- Two-Dimensionality of Magnetic Excitations on the Trellis Lattice: (La,Sr,Ca)CuO and SrCuO
- Strong-coupling expansion and effective hamiltonians
- Interacting triplons in frustrated spin ladders: Binding and decay in BiCuPO
- Effects of Interactions on Dynamic Correlations of Hard-Core Bosons at Finite Temperatures
- Solutions for correlations along the coexistence curve and at the critical point of a kagomé lattice gas with three-particle interactions
- Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
- A light-induced charge order mode in a metastable cuprate ladder
- Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction
- On the ground state energy scaling in quasi-rung-dimerized spin ladders