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DOE OSTI2026

Extreme Transverse Magnetoresistance in TiZn 16

Extreme magnetoresistance (XMR) is a phenomenon characterized by an increase in resistance by factors of 10 4 –10 7 % when a magnetic field is applied. This phenomenon is found in a number of semimetals such as WTe 2 , PtSn 4 , Cd 3 As 2 , and LaSb. The origin of XMR is still hotly debated, possibly with different materials having different (or multiple) explanations. Extreme transverse magnetoresistance of up to 8000% at 14 T and 1.8 K is measured in TiZn 16 , a semimetal with a multitude of bands crossing the Fermi energy, akin to PtSn 4 . The magnetoresistance is suppressed when the magnetic field is rotated to be parallel to the applied current, similar to PtSn 4 and PdSn 4 . The resistance of TiZn 16 follows Kohler's rule, but displays different behavior under an applied transverse field and under a longitudinal magnetic field, suggesting distinct electrical phases. Also present are Shubnikov-de Haas and de Haas-van Alphen oscillations with a transverse magnetic field up to 43 T, showing that despite an insulator-like temperature-resistance curve, charge carriers are still present. This positions TiZn 16 as an interesting addition to the investigation of XMR materials as a multi-band metal with complex Fermi surface geometries.

extreme magnetoresistance↗

DOE OSTI2020

Materials Data on TiZn(BiO3)2 by Materials Project

TiZn(BiO3)2 crystallizes in the tetragonal P4mm space group. The structure is two-dimensional and consists of one TiZn(BiO3)2 sheet oriented in the (0, 0, 1) direction. Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There is one shorter (1.71 Å) and four longer (1.99 Å) Ti–O bond length. Zn2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are one shorter (1.97 Å) and four longer (2.08 Å) Zn–O bond lengths. There are two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Bi–O bond lengths are 2.24 Å. In the second Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are four shorter (2.41 Å) and four longer (2.75 Å) Bi–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one Ti4+ atom. In the second O2- site, O2- is bonded to two equivalent Zn2+ and two equivalent Bi3+ atoms to form a mixture of edge and corner-sharing OZn2Bi2 tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ti4+ and two equivalent Bi3+ atoms. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Zn2+ and four equivalent Bi3+ atoms.

36 MATERIALS SCIENCE↗

DOE OSTI2020

Materials Data on TiZn(BiO3)2 by Materials Project

TiZn(BiO3)2 crystallizes in the monoclinic Cm space group. The structure is two-dimensional and consists of one TiZn(BiO3)2 sheet oriented in the (0, 0, 1) direction. Ti4+ is bonded to five O2- atoms to form distorted corner-sharing TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.71–2.05 Å. Zn2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Zn–O bond distances ranging from 1.98–2.09 Å. There are two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.86 Å. In the second Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. There are two shorter (2.25 Å) and two longer (2.26 Å) Bi–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Zn2+ and two equivalent Bi3+ atoms to form a mixture of distorted edge and corner-sharing OZn2Bi2 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ti4+ and two equivalent Bi3+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Zn2+ and three equivalent Bi3+ atoms. In the fourth O2- site, O2- is bonded in a single-bond geometry to one Ti4+ atom.

36 MATERIALS SCIENCE↗

DOE OSTI2020

Materials Data on TiZn(BiO3)2 by Materials Project

TiZn(BiO3)2 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There is one shorter (1.79 Å) and four longer (1.95 Å) Ti–O bond length. Zn2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are one shorter (1.91 Å) and four longer (2.12 Å) Zn–O bond lengths. Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.32–2.89 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ti4+, one Zn2+, and two equivalent Bi3+ atoms to form a mixture of distorted corner and edge-sharing OTiZnBi2 tetrahedra. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Zn2+ and four equivalent Bi3+ atoms. In the third O2- site, O2- is bonded in a single-bond geometry to one Ti4+ and four equivalent Bi3+ atoms.

36 MATERIALS SCIENCE↗

DOE OSTI2020

Materials Data on TiZn(BiO3)2 by Materials Project

TiZn(BiO3)2 crystallizes in the tetragonal I4mm space group. The structure is three-dimensional. Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There is one shorter (1.79 Å) and four longer (1.96 Å) Ti–O bond length. Zn2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are one shorter (1.90 Å) and four longer (2.10 Å) Zn–O bond lengths. Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.32–2.90 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Zn2+ and four equivalent Bi3+ atoms. In the second O2- site, O2- is bonded in a single-bond geometry to one Ti4+ and four equivalent Bi3+ atoms. In the third O2- site, O2- is bonded to one Ti4+, one Zn2+, and two equivalent Bi3+ atoms to form a mixture of distorted corner and edge-sharing OTiZnBi2 tetrahedra.

36 MATERIALS SCIENCE↗

DOE OSTI2020

Materials Data on TiZn(BiO3)2 by Materials Project

TiZn(BiO3)2 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent ZnO6 octahedra, corners with four equivalent TiO6 octahedra, and faces with eight equivalent BiO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.95 Å) and four longer (1.96 Å) Ti–O bond length. Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent ZnO6 octahedra, and faces with eight equivalent BiO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.96 Å) and two longer (2.08 Å) Zn–O bond lengths. Bi3+ is bonded to twelve O2- atoms to form distorted BiO12 cuboctahedra that share corners with twelve equivalent BiO12 cuboctahedra, faces with six equivalent BiO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent ZnO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.65–2.98 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Zn2+ and four equivalent Bi3+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two equivalent Ti4+ and four equivalent Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Ti4+, one Zn2+, and four equivalent Bi3+ atoms.

36 MATERIALS SCIENCE↗

DOE OSTI2020

Materials Data on TiZn by Materials Project

ZnTi is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Ti is bonded in a body-centered cubic geometry to eight equivalent Zn atoms. All Ti–Zn bond lengths are 2.73 Å. Zn is bonded in a body-centered cubic geometry to eight equivalent Ti atoms.

36 MATERIALS SCIENCE↗

DOE OSTI2020

Materials Data on TiZn(Si2O5)2 by Materials Project

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

36 MATERIALS SCIENCE↗

DOE OSTI2020

Materials Data on TiZn(SiO3)2 by Materials Project

36 MATERIALS SCIENCE↗

DOE OSTI2020

Materials Data on TiZn(SiO3)2 by Materials Project

36 MATERIALS SCIENCE↗