Frustrated diamond-chain quantum $XXZ$ Heisenberg antiferromagnet in a magnetic field

Abstract

We consider the antiferromagnetic spin-1/2 $XXZ$ Heisenberg model on a frustrated diamond-chain lattice in a $z$- or $x$-aligned external magnetic field. We use the strong-coupling approach to elaborate an effective description in the low-temperature strong-field regime. The obtained effective models are spin-1/2 $XY$ chains which are exactly solvable through the Jordan-Wigner fermionization. We perform exact-diagonalization studies of the magnetization curves to test the quality of the effective description. The results may have relevance for the description of the azurite spin-chain compound.

arXiv commentRelated to invited talk at Moscow International Symposium on Magnetism MISM-2014 (29 June - 3 July 2014) given by Johannes Richter

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Cited by in corpus (8)

• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Correlation functions for a spin-$\frac{1}{2}$ Ising-XYZ diamond chain: Further evidence for quasi-phases and pseudo-transitions
• Thermodynamic properties of Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$ in strong magnetic field: Realization of flat-band physics in a highly frustrated quantum magnet
• Symmetric Minimally Entangled Typical Thermal States
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field: Unconventional phase transitions in a two-dimensional isotropic Heisenberg model
• Residual entropy of the dilute Ising chain in a magnetic field
• Frustrated quantum Heisenberg double-tetrahedral and octahedral chains at high magnetic fields
• The transverse field XY model on the diamond chain