Antiferromagnetic Zigzag Spin Chain in Magnetic Fields at Finite Temperatures

Abstract

We study thermodynamic behaviors of the antiferromagnetic zigzag spin chain in magnetic fields, using the density-matrix renormalization group method for the quantum transfer matrix. We focus on the thermodynamics of the system near the critical fields in the ground-state magnetization process($M$-$H$ curve): the saturation field, the lower critical field associated with excitation gap, and the field at the middle-field cusp singularity. We calculate magnetization, susceptibility and specific heat of the zigzag chain in magnetic fields at finite temperatures, and then discuss how the calculated quantities reflect the low-lying excitations of the system related with the critical behaviors in the $M$-$H$ curve.

accepted for publication in Physical Review B

References in corpus (3)

• Magnetic field effects on two-leg Heisenberg antiferromagnetic ladders: Thermodynamic properties
• Middle-Field Cusp Singularities in the Magnetization Process of One-Dimensional Quantum Antiferromagnets
• Specific heat of an S=1/2 Heisenberg ladder compound Cu${}_2$(C${}_5$H${}_{12}$N${}_2$)${}_2$Cl${}_4$ under magnetic fields

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• Spin Peierls transition of $J_1-J_2$ and extended models with ferromagnetic $J_1$.Sublattice dimerization and thermodynamics of zigzag chains in $\beta$-TeVO${}_4$
• Low temperature thermodynamics of the antiferromagnetic $J_1-J_2$ model: Entropy, critical points and spin gap
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• Analysis of the magnetic response of the edge-sharing chain cuprate Li${}_2$CuO${}_2$ within TMRG