Dynamics of the Distorted Diamond Chain

Abstract

We present results on the dynamics of the distorted diamond chain, S=1/2 dimers alternating with single spins 1/2 and exchange couplings $J_1$ and $J_3$ in between. The dynamics in the spin fluid (SF) and tetramer-dimer (TD) phases is investigated numerically by exact diagonalisation for up to 24 spins. Representative excitation spectra are presented, both for zero magnetic field and in the 1/3 plateau phase and the relevant parameters are determined across the phase diagram. The behavior across the SF-TD phase transition line is discussed for the specific heat and for excitation spectra. The relevance of the distorted diamond chain model for the material Cu${}_3$(CO${}_3$)${}_2$(OH)${}_2$ (azurite) is discussed with particular emphasis on inelastic neutron scattering experiments, a recent suggestion of one possibly ferromagnetic coupling constant is not confirmed.

24 pages, 8 figures

References in corpus (8)

• Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
• Nature of the spin dynamics and 1/3 magnetization plateau in azurite
• Ground states with cluster structures in a frustrated Heisenberg chain
• Magnetic properties of the $S=1/2$ distorted diamond chain at T=0
• Frustrated trimer chain model and Cu3Cl6(H2O)2 2H8C4SO2 in a magnetic field
• Magnetism and Thermodynamics of Spin-1/2 Heisenberg Diamond Chains in a Magnetic Field
• Ground state of an $S=1/2$ distorted diamond chain - model of $\mathrm{C}{\mathrm{u}}_3\mathrm{C}{\mathrm{l}}_6({\mathrm{H}}_2\mathrm{O}{)}_2\cdot 2{\mathrm{H}}_8{\mathrm{C}}_4\mathrm{S}{\mathrm{O}}_2$
• One-dimensional spin pyrochlore lattice: exact ground state and elementary excitations

Cited by in corpus (16)

• Multi-step approach to microscopic models for frustrated quantum magnets - the case of the natural mineral azurite
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Singlet-triplet dispersion reveals additional frustration in the triangular dimer compound Ba${}_3$Mn${}_2$O${}_8$
• Spin Configuration in the 1/3 Magnetization Plateau of Azurite Determined by NMR
• Magnetic and quantum entanglement properties of the distorted diamond chain model for azurite
• Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with the localized Ising spins and mobile electrons
• Diamond chains with multiple-spin exchange interactions
• The dynamics of azurite Cu${}_3$(CO${}_3$)${}_2$(OH)${}_2$ in a magnetic field as determined by neutron scattering
• Magneto-elastic couplings in the distorted diamond-chain compound azurite
• Symmetric Minimally Entangled Typical Thermal States
• Magnetic properties of the quantum spin-1/2 XX diamond chain: The Jordan-Wigner approach
• Frustrated spin ladder with alternating spin-1 and spin-1/2 rungs
• Magnetic structure of azurite above the 1/3 magnetization plateau
• Spin dynamics and 1/3 magnetization plateau in a coupled distorted diamond chain compound K2Cu3(MoO4)4
• Effect of monomer-monomer interactions on the phase diagrams of the S=1/2 distorted diamond type quantum spin chain
• Thermal Conductivity and Spin State of the Spin Diamond-Chain System Azurite Cu3(CO3)2(OH)2