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.

arXiv comment28 pages, 11 figures

References in corpus (23)

• Spin-lattice coupling in frustrated antiferromagnets
• Artificial flat band systems: from lattice models to experiments
• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Exact low-temperature behavior of kagome antiferromagnet at high fields
• The spin-1/2 J1-J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins
• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Independent magnon states on magnetic polytopes
• Magnetism of the N=42 kagome lattice antiferromagnet
• Finite low-temperature entropy of some strongly frustrated quantum spin lattices in the vicinity of the saturation field
• Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin-s Heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets
• Properties of highly frustrated magnetic molecules studied by the finite-temperature Lanczos method
• Eighth-order high-temperature expansion for general Heisenberg Hamiltonians
• Delta chain with ferromagnetic and antiferromagnetic interactions at the critical point
• Low-temperature thermodynamics of one-dimensional alternating-spin Heisenberg ferromagnets
• Delta chain with anisotropic ferromagnetic and antiferromagnetic interactions
• Study of an Antiferromagnetic Sawtooth Chain with Spin-1/2 and Spin-1 sites
• Universal low-temperature properties of quantum and classical ferromagnetic chains
• The Free Energy and the Scaling Function of the Ferromagnetic Heisenberg Chain in a Magnetic Field
• Ferrimagnetism in delta chain with anisotropic ferromagnetic and antiferromagnetic interactions
• The dimerized ferromagnetic Heisenberg chain
• Low-temperature properties of classical zigzag spin chain at the ferromagnet-helimagnet transition point
• Universal low-temperature properties of frustrated classical spin chain near the ferromagnet-helimagnet transition point
• Heisenberg-Ising delta-chain with bond alternation

Cited by in corpus (16)

• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Flat-band physics in the spin-1/2 sawtooth chain
• Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
• The delta-chain with ferro- and antiferromagnetic interactions in applied magnetic field
• Accuracy of the typicality approach using Chebyshev polynomials
• Quantum spin spiral ground state of the ferrimagnetic sawtooth chain
• Anomalous thermodynamics of a quantum spin system with large residual entropy
• Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems
• Macroscopic ground state degeneracy of the ferro-antiferromagnetic Heisenberg model on diamond-decorated lattices
• Two-dimensional spin models with macroscopic degeneracy
• 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
• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain
• 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