Thermodynamics of Random Ferromagnetic Antiferromagnetic Spin-1/2 Chains

Abstract

Using the quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, the specific heat, the correlation length, the generalized staggered susceptibility and magnetization of a spin-1/2 chain with random antiferromagnetic and ferromagnetic couplings, down to very low temperatures. Our data show a consistent scaling behavior in all the quantities and support strongly the conjecture drawn from the approximate real-space renormalization group treatment.A statistical analysis scheme is developed which will be useful for the search of scaling behavior in numerical and experimental data of random spin chains.

arXiv comment13 pages, 13 figures, RevTeX

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• Numerical renormalization-group study of spin correlations in one-dimensional random spin chains
• Evidence for the coexistence of low-dimensional magnetism and long-range order in Ca3CoRhO6
• Inhomogeneous magnetism in single crystalline Sr${}_3$CuIrO${}_{6+\delta }$: Implications to phase-separation concepts
• Magnetic anomalies in the spin chain system, Sr${}_3$Cu${}_{1-x}$Zn${}_x$IrO${}_6$
• Sr${}_3$CuIrO${}_6$, a spin-chain compound with random ferromagnetic-antiferromagnetic interactions
• Magnetic ordering in a doped frustrated spin-Peierls system
• Magnetic responses of randomly depleted spin ladders
• Towards a Comprehensive Theory of Metal-Insulator Transitions in Doped Semiconductors
• Modified spin-wave study of random antiferromagnetic-ferromagnetic spin chains
• Critical properties of doped coupled spin-Peierls chains
• Correlations in Quantum Spin Ladders with Site and Bond Dilution
• Ground state of the S = 1/2 Heisenberg spin chain with random ferro- and antiferromagnetic couplings
• Thermodynamic Properties of Weakly Anisotropic Disordered Magnetic Chains in the Large-S Limit
• Spin Waves in Random Spin Chains