Static and Dynamic Magnetic Properties of Spin-1/2 Inequilateral Diamond-Chain Compounds $A_3$Cu${}_3$AlO${}_2$(SO${}_4$)${}_4$ ($A$=K, Rb, and Cs)

Abstract

Spin-1/2 compounds A3Cu3AlO2(SO4)4 (A=K, Rb, and Cs) have one-dimensional (1D) inequilateral diamond chains. We analyze the temperature dependence of the magnetic susceptibility and determine the magnetic exchange interactions. In contrast to the azurite, a dimer is formed on one of the sides of the diamond. From numerical analyses of the proposed model, we find that the dimer together with a nearly isolated 1D Heisenberg chain characterizes magnetic properties including magnetization curve and magnetic excitations. This implies that a dimer-monomer composite chain without frustration is a good starting point for describing these compounds.

References in corpus (10)

• Electronic States and Magnetic Propertis of Edge-sharing Cu-O Chains
• Multi-step approach to microscopic models for frustrated quantum magnets - the case of the natural mineral azurite
• 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
• Bound states of magnons in the S=1/2 quantum spin ladder
• Strong Coupling Expansions for Antiferromagnetic Heisenberg S=1/2 Ladders
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Ground state of an $S=1/2$ distorted diamond chain - model of $\mathrm{C}{\mathrm{u}}_3\mathrm{C}{\mathrm{l}}_6({\mathrm{H}}_2\mathrm{O}{)}_2\cdot 2{\mathrm{H}}_8{\mathrm{C}}_4\mathrm{S}{\mathrm{O}}_2$
• Density matrix renormalization group study of optical conductivity in the one-dimensional Mott insulator Sr_2CuO_3

Cited by in corpus (15)

• Tomonaga-Luttinger spin liquid in the spin-1/2 inequilateral diamond-chain compound K${}_3$Cu${}_3$AlO${}_2$(SO${}_4$)${}_4$
• Diversity of quantum ground states and quantum phase transitions of a spin-1/2 Heisenberg octahedral chain
• Topology of many-body edge and extended quantum states in an open spin chain: 1/3--plateau, Kosterlitz-Thouless transition, and Luttinger liquid
• Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
• Non-conserved magnetization operator and `fire-and-ice' ground states in the Ising-Heisenberg diamond chain
• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
• Magnetic phase diagrams of the spin-$\frac{1}{2}$ Heisenberg model on a kagome-strip chain: Emergence of a Haldane phase
• Designs of magnetic atom-trap lattices for quantum simulation experiments
• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Macroscopic degeneracy of ground state in the frustrated Heisenberg diamond chain
• Magnetization Plateau of the Distorted Diamond Spin Chain with Anisotropic Ferromagnetic Interaction
• Dimer-Monomer Ground State for Extended Spin-1/2 Diamond Chain
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain
• Quantum phase with spontaneous translational symmetry breaking in an extended diamond chain
• Quantum Phase Transitions of the Distorted Diamond Spin Chain