Spin-specific heat determination of the ratio of competing first- and second-neighbor exchange interactions in frustrated spin-$\frac{1}{2}$ chains

Abstract

The magnetic susceptibility $\chi (T)$ of spin-1/2 chains is widely used to quantify exchange interactions, even though $\chi (T)$ is similar for different combinations of ferromagnetic $J_1$ between first neighbors and antiferromagnetic $J_2$ between second neighbors. We point out that the spin specific heat $C(T)$ directly determines the ratio $\alpha =J_2/|J_1|$ of competing interactions. The $J_1-J_2$ model is used to fit the isothermal magnetization $M(T,H)$ and $C(T,H)$ of spin-1/2 Cu(II) chains in LiCuSbO${}_4$. By fixing $\alpha$, $C(T)$ resolves the offsetting $J_1$, $\alpha$ combinations obtained from $M(T,H)$ in cuprates with frustrated spin chains.

arXiv comment6 pages, 4 figures

References in corpus (16)

• The density-matrix renormalization group
• Thermodynamics of Spin S = 1/2 Antiferromagnetic Uniform and Alternating-Exchange Heisenberg Chains
• Computational Studies of Quantum Spin Systems
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• Reply to Comment on "Competition between helimagnetism and commensurate quantum spin correlations in LiCu2O2"
• Confirmation of a one-dimensional spin-1/2 Heisenberg system with ferromagnetic first-nearest-neighbor and antiferromagnetic second-nearest-neighbor interactions in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Quantum spin liquid in frustrated one dimensional LiCuSbO4
• Thermodynamics of quantum Heisenberg spin chains
• Zigzag spin chains with antiferromagnetic-ferromagnetic interactions: Transfer-matrix renormalization group study
• Magnetic properties and revisited exchange integrals of the frustrated chain cuprate PbCuSO${}_4$(OH)${}_2$ - linarite
• Thermodynamics of multiferroic spin chains
• The J1-J2 Heisenberg model at and close to its z=4 quantum critical point
• Evidence for a magnetic field-induced unconventional nematic state in the frustrated and anisotropic spin-chain cuprate LiCuSbO${}_4$
• Multipolar phase in frustrated spin-1/2 and 1 chains

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