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Materials Data on Ti2MnAl by Materials Project

Ti2MnAl is Heusler-like structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a distorted body-centered cubic geometry to four equivalent Ti and four equivalent Al atoms. All Ti–Ti bond lengths are 2.71 Å. All Ti–Al bond lengths are 2.71 Å. In the second Ti site, Ti is bonded in a distorted body-centered cubic geometry to four equivalent Ti, four equivalent Mn, and six equivalent Al atoms. All Ti–Mn bond lengths are 2.71 Å. All Ti–Al bond lengths are 3.12 Å. Mn is bonded in a distorted body-centered cubic geometry to four equivalent Ti and four equivalent Al atoms. All Mn–Al bond lengths are 2.71 Å. Al is bonded in a distorted body-centered cubic geometry to ten Ti and four equivalent Mn atoms.

36 MATERIALS SCIENCE↗

Electronic Structure Theory and Novel Materials

This grant supported research on electronic structure and materials theory, with focus on three main issues: (i) novel techniques to deal with correlation in the electronic ground-state, (ii) topological materials, (iii) the phase diagram of lattice spin models. Regarding (i), we applied to the homogeneous electron liquid an approach that we previously developed in the context of molecular systems. In this scheme the electronic occupation probabilities and the natural spin orbitals are used to construct an approximate two-body density matrix for the electronic ground-state. Regarding (ii) we used standard electronic structure methods based on density functional theory to model topological materials and interpret experimental observations. Finally, regarding (iii) we further developed a numerical approach to compute the renormalized couplings within real space renormalization group theory in the context of lattice spin models. The main findings were the following. (i) We found that with our approximate two-body density matrix, which works well for small molecules, is not sufficiently accurate for condensed phase systems. Missing a systematic way of improving on the adopted approximations, we decided not to pursue this approach. (ii) We performed two studies. In one, we investigated the influence of Te defects on the topological properties of a WTe2 monolayer, finding that while Te vacancies, even in modest concentration, destroy the topological character, Te adatoms do not, consistent with a recent experiment. In another study, we predicted Weyl semimetal character and strong anomalous Hall effect in the Heusler compensated ferrimagnet Ti2MnAl. (iii) We developed a new Monte Carlo method to do real space renormalization group calculations for lattice spin models. We subsequently extended the scheme to deal with lattice spin models in presence of quenched disorder, finding that the approach can distinguish systems with finite and strong disorder. In the finite disorder case, the method allows one to find with good approximation the critical coupling distribution and the critical exponents.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗