Low-Temperature Scaling Regime of Random Ferromagnetic-Antiferromagnetic Spin Chains

Abstract

Using the Continuous Time Quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, and the specific heat 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 both quantities and support strongly the conjecture drawn from the approximative real-space renormalization group treatment. A statistical analysis scheme is developed which will be useful for the search scaling behavior in numerical and experimental data of random spin chains.

4 pages and 3 figures

References in corpus (1)

• Low Energy Properties of the Random Spin-1/2 Ferromagnetic-Antiferromagnetic Heisenberg Chain

Cited by in corpus (15)

• The Loop Algorithm
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Numerical renormalization-group study of spin correlations in one-dimensional random spin chains
• Thermodynamics of Random Ferromagnetic Antiferromagnetic Spin-1/2 Chains
• Generation of Large Moments in a Spin-1 Chain with Random Antiferromagnetic Couplings
• Excitation Spectra and Thermodynamic Response of Segmented Heisenberg Spin Chains
• Magnetic ordering in a doped frustrated spin-Peierls system
• Magnetic responses of randomly depleted spin ladders
• Quantum Monte Carlo Loop Algorithm for the t-J Model
• Modified spin-wave study of random antiferromagnetic-ferromagnetic spin chains
• Critical properties of doped coupled spin-Peierls chains
• Monte Carlo Study of the Separation of Energy Scales in Quantum Spin 1/2 Chains with Bond Disorder
• Confinement and critical regime in doped frustrated quasi-one dimensional magnets
• Ground state of the S = 1/2 Heisenberg spin chain with random ferro- and antiferromagnetic couplings
• Spin Waves in Random Spin Chains