Sampling the two-dimensional density of states g(E,M) of a giant magnetic molecule using the Wang-Landau method

Abstract

The Wang-Landau method is used to study the magnetic properties of the giant paramagnetic molecule Mo_72Fe_30 in which 30 Fe3+ ions are coupled via antiferromagnetic exchange. The two-dimensional density of states g(E,M) in energy and magnetization space is calculated using a self-adaptive version of the Wang-Landau method. From g(E,M) the magnetization and magnetic susceptibility can be calculated for any temperature and external field.

arXiv comment5 pages, 9 figures, submitted to Phys. Rev. B

References in corpus (12)

• An efficient, multiple range random walk algorithm to calculate the density of states
• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Butterfly hysteresis loop and dissipative spin reversal in the S=1/2, V15 molecular complex
• Understanding and Improving the Wang-Landau Algorithm
• Wang-Landau algorithm for continuous models and joint density of states
• Avoiding Boundary Effects in Wang-Landau Sampling
• Rotational modes in molecular magnets with antiferromagnetic Heisenberg exchange
• Competing Spin Phases in Geometrically Frustrated Magnetic Molecules
• Metamagnetic phase transition of the antiferromagnetic Heisenberg icosahedron
• Butterfly hysteresis loop at non-zero bias field in antiferromagnetic molecular rings: cooling by adiabatic magnetization
• Observation of field-dependent magnetic parameters in the magnetic molecule {Ni4Mo12}
• Monte Carlo simulations of $\mathrm{NiF}{\mathrm{e}}_2{\mathrm{O}}_4$ Nanoparticles

Cited by in corpus (10)

• Magnetic Cluster Excitations
• Properties of highly frustrated magnetic molecules studied by the finite-temperature Lanczos method
• Eighth-order high-temperature expansion for general Heisenberg Hamiltonians
• Optimal Modification Factor and Convergence of the Wang-Landau Algorithm
• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Optimized Wang-Landau sampling of lattice polymers: Ground state search and folding thermodynamics of HP model proteins
• Large-scale numerical investigations of the antiferromagnetic Heisenberg icosidodecahedron
• A portable and flexible implementation of the Wang--Landau algorithm in order to determine the Density of States
• The Wang-Landau Algorithm as Stochastic Optimization and Its Acceleration
• Thermodynamics of the spin square