Tutorial: a beginner’s guide to interpreting magnetic susceptibility data with the Curie-Weiss law

A Curie-Weiss model with dissipation

We consider stochastic dynamics for a spin system with mean field interaction, in which the interaction potential is subject to noisy and dissipative stochastic evolution. We show that, in the thermodynamic limit and at sufficiently low temperature, the magnetization of the system has a time periodic behavior, despite of the fact that no periodic force is applied.

A Beginners Guide to Decentralised Data Fusion

Derivation of the Curie-Weiss law in dynamical mean-field theory

The dynamical mean-field theory ~DMFT! is a nonperturbative and thermodynamically consistent approximation scheme for quantum-mechanical many-body problems on a lattice ~for reviews, see Refs. 1–3! which becomes exact in the limit of large coordination numbers. In contrast to the static Hartree-Fock mean-field theory the dynamics of the quantum-mechanical correlation problem is fully included i...

Crystal shape-dependent magnetic susceptibility and Curie law crossover in the spin ices Dy2Ti2O7 and Ho2Ti2O7.

We present an experimental determination of the isothermal magnetic susceptibility of the spin ice materials Dy2Ti2O7 and Ho2Ti2O7 in the temperature range 1.8-300 K. The use of spherical crystals has allowed accurate correction for demagnetizing fields and allowed the true bulk isothermal susceptibility χT(T) to be estimated. This has been compared against a theoretical expression based on a H...

On the Dielectric Curie-weiss Law and Diffuse Phase Transition in Ferroelectrics

A simple derivation of parabolic i/Er-T curves is obtained by reconsidering the origin of the dielectric Curie-Weiss law. The only assumption needed is the introduction of a non-linear temperature dependance of the macroscopic dielectric polarization in the macroscopic Clausius-Mossotti equation.