The delta-chain with ferro- and antiferromagnetic interactions in applied magnetic field

Abstract

We study the thermodynamics of the delta-chain with competing ferro- and antiferromagnetic interactions in an external magnetic field which generalizes the field-free case studied previously. This model plays an important role for the recently synthesized compound Fe${}_{10}$Gd${}_{10}$ which is nearly quantum critical. The classical version of the model is solved exactly and explicit analytical results for the low-temperature thermodynamics are obtained. The spin-$s$ quantum model is studied using exact diagonalization and finite-temperature Lanzos techniques. Particular attention is focused on the magnetization and the susceptibility. The magnetization of the classical model in the ferromagnetic part of the phase diagram defines the universal scaling function which is valid for the quantum model. The dependence of the susceptibility on the spin quantum number $s$ at the critical point between the ferro- and ferrimagnetic phases is studied and the relation to Fe${}_{10}$Gd${}_{10}$ is discussed.

arXiv comment30 pages, 14 figures

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Cited by in corpus (12)

• Enhancement of magnetization plateaus in low dimensional spin systems
• Flat-band physics in the spin-1/2 sawtooth chain
• Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
• Anomalous thermodynamics of a quantum spin system with large residual entropy
• Macroscopic ground state degeneracy of the ferro-antiferromagnetic Heisenberg model on diamond-decorated lattices
• Two-dimensional spin models with macroscopic degeneracy
• Magnetic properties of delta- and kagome-like chains with competing interactions
• Macroscopic degeneracy of ground state in the frustrated Heisenberg diamond chain
• Spin triangle chain with ferromagnetic and antiferromagnetic interactions on the transition line
• Phase diagram and macroscopic ground state degeneracy of frustrated spin-1/2 anisotropic Heisenberg model on diamond-decorated lattices
• Magnetic properties of ferro-antiferromagnetic spin triangle chain
• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain