Thermodynamics of delta-chain with ferro- and antiferromagnetic interactions

Abstract

Motivated by a novel cyclic compound $F{e}_{10}G{d}_{10}$ with record ground state spin in which the arrangement of magnetic ions with $s=\frac{5}{2}$ and $s=\frac{7}{2}$ corresponds to a saw-tooth chain we investigate the thermodynamics of the delta-chain with competing ferro- and antiferromagnetic interactions. We study both classical and quantum versions of the model. The classical model is exactly solved and quantum effects are studied using full diagonalization and a finite temperature Lanczos technique for finite delta-chains as well as modified spin wave theory. It is shown that the main features of the magnetic susceptibility of the quantum spin delta chain are correctly described by the classical spin model, while quantum effects significantly change the low-temperature behavior of the specific heat. The relation of the obtained results to the $F{e}_{10}G{d}_{10}$ system is discussed.

28 pages, 11 figures

References in corpus (4)

• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Exact low-temperature behavior of kagome antiferromagnet at high fields
• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Ferrimagnetism in delta chain with anisotropic ferromagnetic and antiferromagnetic interactions

Cited by in corpus (13)

• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Flat-band physics in the spin-1/2 sawtooth chain
• The delta-chain with ferro- and antiferromagnetic interactions in applied magnetic field
• Quantum spin spiral ground state of the ferrimagnetic sawtooth chain
• Two-dimensional spin models with macroscopic degeneracy
• Macroscopic ground state degeneracy of the ferro-antiferromagnetic Heisenberg model on diamond-decorated lattices
• Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems
• Macroscopic degeneracy of ground state in the frustrated Heisenberg diamond chain
• Magnetic properties of delta- and kagome-like chains with competing interactions
• 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