On the nature of the (de)coupling of the magnetostructural transition in Er$_5$Si$_4$
Rui M. Costa, Jo\~ao H. Belo, Marcelo B. Barbosa, Pedro A. Algarabel,, C\'esar Mag\'en, Luis Morellon, Manuel R. Ibarra, Jo\~ao N. Gon\c{c}alves,, Nuno M. Fortunato, Jo\~ao S. Amaral, Jo\~ao P. Ara\'ujo, and Andr\'e M., Pereira

TL;DR
This paper employs thermodynamic modeling and DFT calculations to understand the decoupling of magnetic and structural transitions in Er$_5$Si$_4$, revealing the stability of phases and electronic entropy behavior during the transition.
Contribution
It introduces a thermodynamic model combined with DFT calculations to explain the decoupling of magnetic and structural transitions in Er$_5$Si$_4$, highlighting phase stability and electronic entropy effects.
Findings
The M structure is the stable phase at low temperatures.
Energy difference at 0 K is -0.262 eV, confirming experimental stability.
Electronic entropy variation is negligible during the transition.
Abstract
In this report, a successful thermodynamical model was employed to understand the structural transition in ErSi, able to explain the decoupling of the magnetic and structural transition. This was achieved by the DFT calculations which were used to determine the energy differences at 0 K, using a LSDA+U approximation. It was found that the M structure as the stable phase at low temperatures as verified experimentally with a 0.262 eV. Finally, it was achieved a variation of Seebeck coefficient ( 6 V) at the structural transition which allow to conclude that the electronic entropy variation is negligible in the transition.
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