Thermodynamics of Spin-1/2 AF-AF-F and F-F-AF Trimerized Quantum Heisenberg Chains

Abstract

The magnetization process, the susceptibility and the specific heat of the spin-1/2 AF-AF-F and F-F-AF trimerized quantum Heisenberg chains have been investigated by means of the transfer matrix renormalization group (TMRG) technique as well as the modified spin-wave (MSW) theory. A magnetization plateau at $m=1/6$ for both trimerized chains is observed at low temperature. The susceptibility and the specific heat show various behaviors for different ferromagnetic and antiferromagnetic interactions and in different magnetic fields. The TMRG results of susceptibility and the specific heat can be nicely fitted by a linear superposition of double two-level systems, where two fitting equations are proposed. Three branch excitations, one gapless excitation and two gapful excitations, for both systems are found within the MSW theory. It is observed that the MSW theory captures the main characteristics of the thermodynamic behaviors at low temperatures. The TMRG results are also compared with the possible experimental data.

arXiv comment11 pages, 10 figures

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• Quantum phase transitions in a spin-1/2 alternating Heisenberg antiferromagnetic chain under a staggered transverse magnetic field
• Honeycomb Heisenberg Spin Ladder: Unusual Ground State and Thermodynamic Properties
• Spin nematic states in antiferromagnets containing ferromagnetic bonds
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• Zero-temperature study of a tetrameric spin-$1/2$ chain in a transverse magnetic field
• Trimers in the Extended Hubbard Model
• Quantum-classical equivalence and ground-state factorization
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain