Cyclic Spin Exchange in Cuprate Spin Ladders

Abstract

We investigate the influence of a cyclic spin exchange J_{cyc} on the one- and two-triplet excitations of an undoped two-leg S=1/2 ladder, using the density matrix renormalization group (DMRG). The dispersion of the S=0 two-triplet bound state is dramatically reduced by J_{cyc} due to a repulsion between triplets on neighboring rungs. In (La,Ca)_{14}Cu_{24}O_{41} a consistent description of both the spin gap and the S=0 bound state requires $J_{cyc}/J_{\perp }\approx 0.20-0.27$ and $J/J_{\perp }\approx 1.25-1.35$. With these coupling ratios the recently developed dynamical DMRG yields an excellent description of the entire S=0 excitation spectrum observed in the optical conductivity, including the continuum contribution.

4 pages, 3 figures

References in corpus (5)

• Observation of two-magnon bound states in the two-leg ladders of (Ca,La)14Cu24O41
• Spin Excitations in La2CuO4: Consistent Description by Inclusion of Ring-Exchange
• Strong anisotropy of superexchange in the copper-oxygen chains of La_{14-x}Ca_{x}Cu_{24}O_{41}
• Derivation of effective spin models from a three band model for CuO_2-planes
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Cited by in corpus (46)

• The density-matrix renormalization group
• Electrodynamics of Correlated Electron Materials
• New Trends in Density Matrix Renormalization
• One- and Two-Triplon Spectra of a Cuprate Ladder
• Unifying Magnons and Triplons in Stripe-Ordered Cuprate Superconductors
• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
• Spin-chirality duality in a spin ladder with four-spin cyclic exchange
• Enhanced Perturbative Continuous Unitary Transformations
• Dimerization transitions in spin-1 chains
• Solids and supersolids of three-body interacting polar molecules in an optical lattice
• Melting of a frustration-induced dimer crystal and incommensurability in the J_1-J_2 two-leg ladder
• Quantum phase transitions in multileg spin ladders with ring exchange
• Scalar chiral ground states of spin ladders with four-spin exchanges
• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Spin liquid phase due to competing classical orders in the semiclassical theory of the Heisenberg model with ring exchange on an anisotropic triangular lattice
• Rung-singlet phase of the S=1/2 two-leg spin-ladder with four-spin cyclic exchange
• Spin liquid phase in the semiclassical theory of the Heisenberg model on an anisotropic triangular lattice with ring exchange
• Raman Response of Magnetic Excitations in Cuprate Ladders and Planes
• Staggered dimer order in S=1/2 quantum spin ladder system with four spin exchange
• Effects of ring exchange interaction on the Neel phase of two-dimensional, spatially anisotropic, frustrated Heisenberg quantum antiferromagnet
• Magnetic ground state of coupled edge-sharing CuO_2 spin-chains
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Jordan-Wigner approach to dynamic correlations in spin-ladders
• Charge order induced sharp Raman peak in Sr_14Cu_24O_41
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Magnetic excitations in SrCu2O3: a Raman scattering study
• Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders
• Doped two-leg ladder with ring exchange
• Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange: Generalization of the Lieb-Mattis theorem
• Phase diagrams of the generalized spin-1/2 ladder under staggered field and dimerization: A renormalization group study
• Evidence for site-centered stripes from magnetic excitations in CuO superconductors
• Dynamics in two-leg spin ladder with a four-spin cyclic interaction
• 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
• Thermodynamic Properties of Spin Ladders with Cyclic Exchange
• 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)${}_{14}$Cu${}_{24}$O${}_{41}$ and SrCu${}_2$O${}_3$
• Quantized Berry Phases of a Spin-1/2 Frustrated Two-Leg Ladder with Four-Spin Exchange
• Magnetic excitations in the stripe phase of high-T_c superconductors
• Optical absorption spectra in SrCu_2O_3 two-leg spin ladder
• Magnetic Excitations in the Site-Centered Stripe Phase: Spin Wave Theory of Coupled Three-Leg Ladders
• Magnetic Susceptibility of an integrable anisotropic spin ladder system
• Higher order spin interactions mediated by the substrate
• Coupled Hubbard ladders at weak coupling: Pairing and spin excitations
• Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction