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Lattice effects and the critical behavior of gadolinium

The critical behavior of gadolinium near its paramagnetic-to-ferromagnetic phase transition constitutes a great puzzle due to apparent discrepancies between the experimental results and theoretical predictions for critical exponents. Despite the ample experimental evidences on the strong interplay of spin and lattice degrees of freedom near such a phase transition in rare-earth metals, experimental results are compared with those theories which do not take into account such spin-lattice coupling. Here we show that the magnetoelastic interaction when taken into account in the Ginzburg-Landau model Hamiltonian, the ensuing static and dynamic critical exponents are comparable with experimental results, indicating the importance of magnetoelastic coupling in determining the critical behavior of gadolinium.