Electronic structure and energetics of the tetragonal distortion for TiH2, ZrH2 and HfH2: a first principles study
- CINVESTAV Merida Mexico
- ORNL
The electronic structure and energetics of the tetragonal distortion for the fluorite-type dihydrides TiH{sub 2}, ZrH{sub 2}, and HfH{sub 2} are studied by means of highly accurate first-principles total-energy calculations. For HfH{sub 2}, in addition to the calculations using the scalar relativistic (SR) approximation, calculations including the spin-orbit coupling have also been performed. The results show that TiH{sub 2}, ZrH{sub 2}, and HfH{sub 2} in the cubic phase are unstable against tetragonal strain. For the three systems, the total energy shows two minima as a function of the c/a ratio with the lowest-energy minimum at c/a < 1 in agreement with the experimental observations. The band structure of TiH{sub 2}, ZrH{sub 2}, and HfH{sub 2} (SR) around the Fermi level shows two common features along the two major symmetry directions of the Brillouin zone, {Lambda}?L and {Lambda}?K, a nearly flat doubly degenerate band, and a van Hove singularity, respectively. In cubic HfH{sub 2} the spin-orbit coupling lifts the degeneracy of the partially filled bands in the {Lambda}?L path, while the van Hove singularity in the {Lambda}?K path remains unchanged. The density of states of the three systems in the cubic phase shows a sharp peak at the Fermi level. We found that the tetragonal distortion produces a strong reduction in the density of states at the Fermi level resulting mainly from the splitting of the doubly-degenerate bands in the {Lambda}?L direction and the shift of the van Hove singularity to above the Fermi level. The validity of the Jahn-Teller model in explaining the tetragonal distortion in this group of dihydrides is discussed.
- Research Organization:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC05-00OR22725
- OSTI ID:
- 968296
- Journal Information:
- Physical Review B, Vol. 80, Issue 18; ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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