Low-energy structure of the intertwining double-chain ferrimagnets A_3_Cu_3_(PO_4_)_4_ (A=Ca,Sr,Pb)
arXiv:0711.1051 · doi:10.1103/PhysRevB.76.014409
Abstract
Motivated by the homometallic intertwining double-chain ferrimagnets A_3_Cu_3_(PO_4_)_4_ (A=Ca,Sr,Pb), we investigate the low-energy structure of their model Hamiltonian H=\sum_n_[J_1_(S_{n :1}_+S_{n :3}_) +J_2_(S_{n+1:1}+S_{n-1:3}_)]\cdotS_{n:2}_, where S_{n:l}_ stands for the Cu^{2+}^ ion spin labeled l in the nth trimer unit, with particular emphasis on the range of bond alternation 0<J_2/J_1<1. Although the spin-wave theory, whether up to O(S^1^) or up to O(S^0^), claims that there exists a flat band in the excitation spectrum regardless of bond alternation, a perturbational treatment as well as the exact diagonalization of the Hamiltonian reveals its weak but nonvanishing momentum dispersion unless J_2_=J_1_ or J_2_=0. Quantum Monte Carlo calculations of the static structure factor further convince us of the low-lying excitation mechanism, elucidating similarities and differences between the present system and alternating-spin linear-chain ferrimagnets.
arXiv comment8 pages, 6 figures
References in corpus (27)
- Direct Evidence for the Localized Single-Triplet Excitations and the Dispersive Multi-Triplets Excitations in SrCu2(BO3)2
- Low-Lying Excited States and Low-Temperature Properties of an Alternating Spin-1 / Spin-1/2 Chain : A DMRG study
- Matrix product states approach to the Heisenberg ferrimagnetic spin chains
- Ground states with cluster structures in a frustrated Heisenberg chain
- Elementary Excitations of Heisenberg Ferrimagnetic Spin Chains
- Magnetization plateaus as insulator-superfluid transitions in quantum spin systems
- Low Temperature Properties of Quantum Antiferromagnetic Chains with Alternating Spins S=1 and 1/2
- Thermodynamic Properties of Heisenberg Ferrimagnetic Spin Chains: Ferromagnetic-Antiferromagnetic Crossover
- Frustrated trimer chain model and Cu3Cl6(H2O)2 2H8C4SO2 in a magnetic field
- Thermodynamics of the (1,1/2) Ferrimagnet in Finite Magnetic Fields
- Magnetism and Thermodynamics of Spin-1/2 Heisenberg Diamond Chains in a Magnetic Field
- A DMRG Study of Low-Energy Excitations and Low-Temperature Properties of Alternating Spin Systems
- Magnetic Properties of Quantum Ferrimagnetic Spin Chains
- Intrinsic double-peak structure of the specific heat in low-dimensional quantum ferrimagnets
- Bosonic representation of one-dimensional Heisenberg ferrimagnets
- Combination of Ferromagnetic and Antiferromagnetic Features in Heisenberg Ferrimagnets
- Thermodynamics of Spin-1/2 AF-AF-F and F-F-AF Trimerized Quantum Heisenberg Chains
- Characterization of ferrimagnetic Heisenberg chains according to the constituent spins
- Spin-wave series for quantum one-dimensional ferrimagnets
- Low-temperature thermodynamics of one-dimensional alternating-spin Heisenberg ferromagnets
- Magnon dispersions in quantum Heisenberg ferrimagnetic chains at zero temperature
- Quasi-One-Dimensional Quantum Ferrimagnets
- Spin-Wave Description of Haldane-gap antiferromagnets
- Collective excitations in ferrimagnetic Heisenberg ladders
- Dynamical structure factors of the magnetization-plateau state in the bond-alternating spin chain with a next-nearest-neighbor interaction
- Evidence for multimagnon-mediated nuclear spin relaxation in the intertwining double-cain ferrimagnet
- Accurate mapping of quantum Heisenberg magnetic models of spin on strong-coupling magnon systems
Cited by in corpus (9)
- Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
- Fractional and composite excitations of antiferromagnetic quantum spin trimer chains
- Quantum phase transitions in alternating spin-(1/2, 5/2) Heisenberg chains
- Frustrated spin ladder with alternating spin-1 and spin-1/2 rungs
- Ground-state phase diagram and thermodynamics of coupled trimer chains
- Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains
- Quantum phase transitions and composite excitations of antiferromagnetic spin trimer chains in a magnetic field
- Quantum Rotors on the AB Chain with Competing Interactions
- Resonant inelastic x-ray scattering spectra of spinon, doublon, and quarton excitations of a spin- antiferromagnetic Heisenberg trimer chain