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Phase transitions in Ni_{2}MnX (X=In, Sn, Sb) Heusler alloys with inversion of exchange interaction 
Vasiliy D. Buchelnikov ^{1}, Sergey V. Taskaev ^{1}, Mikhail A. Zagrebin ^{1}, Peter Entel ^{2} 
1. Chelyabinsk State University (ChelSU), Br. Kashirinykh Str, 129, Chelyabinsk 454021, Russian Federation 
Abstract 
In ferromagnetic (FM) Heusler alloys the structural transition from high temperature cubic phase to low temperature tetragonal one takes place. The experiments show that in Ni_{2}MnX (X=In, Sn, Sb) alloys the next sequence of phase transitions occurs: paramagnetic (PM) cubic phase → FM cubic one → PM tetragonal one → FM tetragonal one [1]. This magnetic behavior can be explained by the existence in these alloys the inversion of exchange interaction [2]. In this work with the help of the GinzburgLandau theory the phase diagrams of Heusler alloys with inversion of exchange interaction are theoretically investigated. We used the expression for the GinzburgLandau functional from works [2,3]
F=αm^{2}/2+βm^{2}cosφ/2γm^{4}cosφ/4+δ_{1}m^{4}cos^{2}φ/4+δ_{2}m^{4}/4ω_{1}m^{2}(e_{2}^{2}+ e_{3}^{2})/2
ω_{2}m^{2}(e_{2}^{2}+ e_{3}^{2})cosφ/2+a(e_{2}^{2}+ e_{3}^{2})/2+be_{3}(e_{3}^{2}3e_{2}^{2})/3+c(e_{2}^{2}+ e_{3}^{2})^{2}/4 (1)
1. T. Krenke, M. Acet, E.F. Wasserman et al., Phys. Rev. B 72 (2005) 014412. 
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Presentation: Oral at EMRS Fall Meeting 2007, Symposium E, by Vasiliy D. Buchelnikov Submitted: 20070511 10:12 Revised: 20090607 00:44 