Temperature dependence of elastic properties of Ni2+xMn1−xGa and Ni2Mn(Ga1−xAlx) from first principles

Chun-Mei Li,1,2 Hu-Bin Luo,2 Qing-Miao Hu,2,* Rui Yang,2 Borje Johansson,1,3,4 and Levente Vitos1,3,5 1Applied Materials Physics, Department of Materials Science and Engineering, Royal Institute of Technology, Stockholm SE-100 44, Sweden 2Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang 110016, China 3Condensed Matter Theory Group, Physics Department, Uppsala University, P. O. Box 516, SE-75120 Uppsala, Sweden 4School of Physics and Optoelectronic Technology & College of Advanced Science and Technology Dalian University of Technology, Dalian 116024, China 5Research Institute for Solid State Physics and Optics, Budapest H-1525, P. O. Box 49, Hungary (Received 22 August 2011; revised manuscript received 8 November 2011; published 22 November 2011)