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EuTl is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Eu is bonded in a body-centered cubic geometry to eight equivalent Tl atoms. All Eu–Tl bond lengths are 3.91 Å. Tl is bonded in a body-centered cubic geometry to eight equivalent Eu atoms.
EuTl(WO4)2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Eu3+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Eu–O bond distances ranging from 2.37–2.84 Å. W6+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing WO6 octahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of W–O bond distances ranging from 1.83–2.19 Å. Tl1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Tl–O bond distances ranging from 2.95–3.18 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent W6+ and two equivalent Tl1+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Eu3+, one W6+, and one Tl1+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Eu3+, two equivalent W6+, and one Tl1+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Eu3+, one W6+, and one Tl1+ atom.
Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
The past decades have witnessed a transformation in characterizing condensed matter systems with topology. Aided by a refined understanding of topological band structures with crystalline symmetries that has emerged recently, many electronic phases have been identified, and a plethora of materials have been predicted to host properties and functionalities. A key underlying question, also with respect to future application, is to what extent the related physical features can be manipulated, especially in the context of magnetic order. Here, we describe a paradigmatic semimetal that simultaneously incorporates multiple and sometimes conflicting topology which guarantees gaplessness and leads to an exceptionally rich family of descendent phases on lowering symmetry. We predict that this multicritical phase is realized in EuTl 2 . Starting from the parent semimetallic state, which already separates two topological insulating regimes, the interplay of inherent magnetism and strain allows for an exceptionally rich phase diagram of topological descendant states.