Cluster mean field study of the Heisenberg model for CuInVO${}_5$

Abstract

Motivated by the experimental report of unusual low temperature magnetism in quasi one-dimensional magnet CuInVO${}_5$, we present results of a cluster mean-field study on a spin-$1/2$ Heisenberg model with alternating ferromagnetic and antiferromagnetic nearest-neighbor coupling. We map out the ground state phase diagrams with varying model parameters, including the effect of an external magnetic field. An unexpected competition between different spin-spin correlations is uncovered. Multiple spin-flop transitions are identified with the help of component resolved correlation functions. For the material-specific choice of model parameters we discuss the temperature dependence of specific heat and magnetic susceptibility, and compare our results with the available experimental data. A detailed account of spin-spin correlations allows us to present a microscopic understanding of the low-temperature magnetic ordering in CuInVO${}_5$. Most notably, we identify the origin of an extra peak in the low temperature specific heat data of CuInVO${}_5$ reported by Hase {\it et al.}

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• The Quantum Cluster Variational Method and the Phase Diagram of the quantum ferromagnetic $J_1$-$J_2$ model
• Finite-temperature properties of excitonic condensation in the extended Falicov-Kimball model: Cluster mean-field-theory approach
• Magnetism in spin crossover systems: short-range order and effects beyond the Heisenberg model
• Critical spin-$\frac{1}{2}$ tetramer compound CuInVO${}_5$: Exploring the vicinity of two multimerized singlet states
• Interplay of frustration and quantum fluctuations in a spin-1/2 anisotropic square lattice
• Spin order, spin excitations, and RIXS spectra of spin-1/2 tetramer chains
• Spin-singlet dimer phase in a frustrated square lattice under a magnetic field