Quantum Phase Transitions of the Distorted Diamond Spin Chain

Abstract

The frustrated quantum spin system on the distorted diamond chain lattice suitable for the alumoklyuchevskite is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that this model exhibits three quantum phases; the ferrimagnetic phase, the spin gap one, and the gapless Tomonaga-Luttinger liquid depending on the exchange coupling parameters. The ground state phase diagram is presented.

arXiv commentto be published in JPS Conf. Ser

References in corpus (5)

• Multi-step approach to microscopic models for frustrated quantum magnets - the case of the natural mineral azurite
• Ground states with cluster structures in a frustrated Heisenberg chain
• Ground state of an $S=1/2$ distorted diamond chain - model of $\mathrm{C}{\mathrm{u}}_3\mathrm{C}{\mathrm{l}}_6({\mathrm{H}}_2\mathrm{O}{)}_2\cdot 2{\mathrm{H}}_8{\mathrm{C}}_4\mathrm{S}{\mathrm{O}}_2$
• Tomonaga-Luttinger spin liquid in the spin-1/2 inequilateral diamond-chain compound K${}_3$Cu${}_3$AlO${}_2$(SO${}_4$)${}_4$
• 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)