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We have developed a general algorithm in order to study many static and dynamic magnetoelastic properties of a rare-earth metal, with the use of a general Hamiltonian already known in literature. As a specific application of our method we calculate the magnetic contribution to the Er ${C}_{33}$ elastic constant in the region of ordered phase near ${T}_{N}$. In order to study the magnetic ordered phase we have adapted a method developed by Nagamiya.

physical review. b, condensed matter

Theoretical explanation of the Er<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>33</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>-versus-temperature curve in the ordered phase near<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>

Theoretical explanation of the ErC33-versus-temperature curve in the ordered phase nearTN