The nature of the magnetic and structural phase transitions in BaFe$_{2}$As$_{2}$
Stephen D. Wilson, Z. Yamani, C. R. Rotundu, B. Freelon, E., Bourret-Courchesne, and R. J. Birgeneau

TL;DR
This study investigates the magnetic and structural phase transitions in BaFe$_2$As$_2$, revealing they occur simultaneously as a second order transition with critical behavior consistent with a 2D Ising model.
Contribution
The paper provides detailed neutron diffraction analysis showing coupled magnetic and structural transitions in BaFe$_2$As$_2$, with evidence of critical scattering and biquadratic coupling, advancing understanding of phase transition nature in iron pnictides.
Findings
Transitions are simultaneous and continuous with no hysteresis.
Magnetic order follows a power law with an exponent near 1/8.
Evidence of three-dimensional critical scattering and coupling between order parameters.
Abstract
We present the results of an investigation of both the magnetic and structural phase transitions in a high quality single crystalline sample of the undoped, iron pnictide compound BaFeAs. Both phase transitions are characterized via neutron diffraction measurements which reveal simultaneous, continuous magnetic and structural orderings with no evidence of hysteresis, consistent with a single second order phase transition. The onset of long-range antiferromagnetic order can be described by a simple power law dependence with ; a value near the expected for a two-dimensional Ising system. Biquadratic coupling between the structural and magnetic order parameters is also inferred along with evidence of three-dimensional critical scattering in this system.
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