Tomonaga-Luttinger spin liquid in the spin-1/2 inequilateral diamond-chain compound K${}_3$Cu${}_3$AlO${}_2$(SO${}_4$)${}_4$

Abstract

K${}_3$Cu${}_3$AlO${}_2$(SO${}_4$)${}_4$ is a highly one-dimensional spin-1/2 inequilateral diamond-chain antiferromagnet. Spinon continuum and spin-singlet dimer excitations are observed in the inelastic neutron scattering spectra, which is in excellent agreement with a theoretical prediction: a dimer-monomer composite structure, where the dimer is caused by strong antiferromagnetic (AFM) coupling and the monomer forms an almost isolated quantum AFM chain controlling low-energy excitations. Moreover, muon spin rotation/relaxation spectroscopy shows no long-range ordering down to 90~mK, which is roughly three orders of magnitude lower than the exchange interaction of the quantum AFM chain. K${}_3$Cu${}_3$AlO${}_2$(SO${}_4$)${}_4$ is, thus, regarded as a compound that exhibits a Tomonaga-Luttinger spin liquid behavior at low temperatures close to the ground state.

References in corpus (11)

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Cited by in corpus (7)

• 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
• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
• The transverse field XY model on the diamond chain
• Magnetization Plateau of the Distorted Diamond Spin Chain with Anisotropic Ferromagnetic Interaction
• Magnetization of electronic ground states in frustrated superstable graphs
• Quantum Phase Transitions of the Distorted Diamond Spin Chain