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Targeted Dy intercalation under graphene/SiC for tuning its electronic band structure

Metal intercalation of graphene is a promising method to tune its electronic band structure and generate novel electronic and topological phases. The tuning depends critically on the ability to bond the intercalated atoms at predesigned, subsurface interlayer locations because the emerging band structure depends on metal location. In this work, we have studied Dy intercalation under single-layer graphene (SLG) on SiC using spot profile analysis–low-energy electron diffraction and scanning tunneling microscopy (STM). The experimental work is complemented with density-functional theory (DFT) analysis. Because different diffraction spots originate from different subsurface interlayer regions, it is possible to identify changes in the intercalation location by monitoring the spot intensity as a function of growth conditions. DFT calculations of the chemical potential as a function of intercalated Dy coverage support the variation of the stability of the intercalated phase at different intercalated locations. The preferred location is confirmed from STM studies showing the removal of the 6 × 6 moiré corrugation at the preferred location, observed at higher Dy coverage.

2-dimensional systems↗

Materials Data on Dy(SiOs)2 by Materials Project

Dy(OsSi)2 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Dy3+ is bonded in a 8-coordinate geometry to eight equivalent Os+1.50- atoms. All Dy–Os bond lengths are 3.19 Å. Os+1.50- is bonded in a 4-coordinate geometry to four equivalent Dy3+ and four equivalent Si atoms. All Os–Si bond lengths are 2.40 Å. Si is bonded in a 5-coordinate geometry to four equivalent Os+1.50- and one Si atom. The Si–Si bond length is 2.48 Å.

36 MATERIALS SCIENCE↗

Materials Data on Dy(HO)3 by Materials Project

Dy(OH)3 crystallizes in the hexagonal P6_3/m space group. The structure is three-dimensional. Dy3+ is bonded in a 9-coordinate geometry to nine equivalent O2- atoms. There are six shorter (2.42 Å) and three longer (2.48 Å) Dy–O bond lengths. H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. O2- is bonded in a single-bond geometry to three equivalent Dy3+ and one H1+ atom.

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Materials Data on Dy(SiAu)2 by Materials Project

Dy(AuSi)2 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Dy3+ is bonded to eight equivalent Si4- atoms to form DySi8 hexagonal bipyramids that share corners with sixteen equivalent AuSi4 tetrahedra, edges with four equivalent DySi8 hexagonal bipyramids, edges with eight equivalent AuSi4 tetrahedra, and faces with four equivalent DySi8 hexagonal bipyramids. All Dy–Si bond lengths are 3.23 Å. Au+2.50+ is bonded to four equivalent Si4- atoms to form AuSi4 tetrahedra that share corners with eight equivalent DySi8 hexagonal bipyramids, corners with four equivalent AuSi4 tetrahedra, edges with four equivalent DySi8 hexagonal bipyramids, and edges with four equivalent AuSi4 tetrahedra. All Au–Si bond lengths are 2.56 Å. Si4- is bonded in a 9-coordinate geometry to four equivalent Dy3+, four equivalent Au+2.50+, and one Si4- atom. The Si–Si bond length is 2.30 Å.

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Materials Data on Dy(PO3)3 by Materials Project

Dy(PO3)3 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Dy–O bond distances ranging from 2.23–2.30 Å. There are three inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent DyO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–27°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent DyO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent DyO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–37°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one Dy3+ and one P5+ atom.

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Materials Data on Dy(IO3)3 by Materials Project

Dy(O3I)3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Dy3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.27–2.60 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one I5+ atom. The O–I bond length is 1.83 Å. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Dy3+ and one I5+ atom. The O–I bond length is 1.83 Å. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Dy3+ and one I5+ atom. The O–I bond length is 1.82 Å. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Dy3+ and one I5+ atom. The O–I bond length is 1.85 Å. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Dy3+ and one I5+ atom. The O–I bond length is 1.84 Å. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Dy3+ and one I5+ atom. The O–I bond length is 1.83 Å. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Dy3+ and one I5+ atom. The O–I bond length is 1.83 Å. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Dy3+ and one I5+ atom. The O–I bond length is 1.81 Å. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Dy3+ and one I5+ atom. The O–I bond length is 1.83 Å. There are three inequivalent I5+ sites. In the first I5+ site, I5+ is bonded in a 3-coordinate geometry to three O2- atoms. In the second I5+ site, I5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. In the third I5+ site, I5+ is bonded in a 3-coordinate geometry to three O2- atoms.

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Materials Data on Dy(Bi3O5)4 by Materials Project

Dy(Bi3O5)4 crystallizes in the orthorhombic I222 space group. The structure is three-dimensional. Dy3+ is bonded to four equivalent O2- atoms to form DyO4 tetrahedra that share corners with twelve BiO5 square pyramids. All Dy–O bond lengths are 2.20 Å. There are three inequivalent Bi+3.08+ sites. In the first Bi+3.08+ site, Bi+3.08+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids, a cornercorner with one DyO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.54 Å. In the second Bi+3.08+ site, Bi+3.08+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids, a cornercorner with one DyO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.55 Å. In the third Bi+3.08+ site, Bi+3.08+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids, a cornercorner with one DyO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.54 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.08+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.08+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.08+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.08+ atoms. In the fifth O2- site, O2- is bonded to one Dy3+ and three Bi+3.08+ atoms to form corner-sharing ODyBi3 tetrahedra.

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Materials Data on Dy(CuO2)2 by Materials Project

Dy(CuO2)2 crystallizes in the tetragonal I4_1/a space group. The structure is three-dimensional. Dy3+ is bonded in a 8-coordinate geometry to eight equivalent O2- atoms. There are four shorter (2.39 Å) and four longer (2.40 Å) Dy–O bond lengths. Cu+2.50+ is bonded in a square co-planar geometry to four equivalent O2- atoms. There is two shorter (1.90 Å) and two longer (1.92 Å) Cu–O bond length. O2- is bonded to two equivalent Dy3+ and two equivalent Cu+2.50+ atoms to form a mixture of distorted edge and corner-sharing ODy2Cu2 tetrahedra.

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Materials Data on Dy(CuSe)3 by Materials Project

Dy(CuSe)3 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. Dy3+ is bonded to six equivalent Se2- atoms to form DySe6 octahedra that share corners with twelve equivalent CuSe4 tetrahedra, edges with three equivalent DySe6 octahedra, and edges with six equivalent CuSe4 tetrahedra. There are three shorter (2.87 Å) and three longer (2.88 Å) Dy–Se bond lengths. Cu1+ is bonded to four equivalent Se2- atoms to form CuSe4 tetrahedra that share corners with four equivalent DySe6 octahedra, corners with six equivalent CuSe4 tetrahedra, edges with two equivalent DySe6 octahedra, and edges with three equivalent CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–60°. There are a spread of Cu–Se bond distances ranging from 2.42–2.52 Å. Se2- is bonded in a 6-coordinate geometry to two equivalent Dy3+ and four equivalent Cu1+ atoms.

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Materials Data on Dy(CuTe)3 by Materials Project

Dy(CuTe)3 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. Dy3+ is bonded to six equivalent Te2- atoms to form DyTe6 octahedra that share corners with twelve equivalent CuTe4 tetrahedra, edges with three equivalent DyTe6 octahedra, and edges with six equivalent CuTe4 tetrahedra. All Dy–Te bond lengths are 3.08 Å. Cu1+ is bonded to four equivalent Te2- atoms to form CuTe4 tetrahedra that share corners with four equivalent DyTe6 octahedra, corners with six equivalent CuTe4 tetrahedra, edges with two equivalent DyTe6 octahedra, and edges with three equivalent CuTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–59°. There are a spread of Cu–Te bond distances ranging from 2.58–2.68 Å. Te2- is bonded in a 6-coordinate geometry to two equivalent Dy3+ and four equivalent Cu1+ atoms.

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Materials Data on Dy(CuS)3 by Materials Project

Dy(CuS)3 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. Dy3+ is bonded to six equivalent S2- atoms to form DyS6 octahedra that share corners with twelve equivalent CuS4 tetrahedra, edges with three equivalent DyS6 octahedra, and edges with six equivalent CuS4 tetrahedra. All Dy–S bond lengths are 2.74 Å. Cu1+ is bonded to four equivalent S2- atoms to form CuS4 tetrahedra that share corners with four equivalent DyS6 octahedra, corners with six equivalent CuS4 tetrahedra, edges with two equivalent DyS6 octahedra, and edges with three equivalent CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–55°. There are a spread of Cu–S bond distances ranging from 2.32–2.42 Å. S2- is bonded in a 6-coordinate geometry to two equivalent Dy3+ and four equivalent Cu1+ atoms.

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Materials Data on Dy(Ni2B)6 by Materials Project

Dy(Ni2B)6 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. Dy3+ is bonded in a distorted hexagonal planar geometry to six B3- atoms. There are a spread of Dy–B bond distances ranging from 2.98–3.31 Å. There are seven inequivalent Ni+1.25+ sites. In the first Ni+1.25+ site, Ni+1.25+ is bonded in a 4-coordinate geometry to four B3- atoms. There are a spread of Ni–B bond distances ranging from 2.10–2.53 Å. In the second Ni+1.25+ site, Ni+1.25+ is bonded in a T-shaped geometry to three B3- atoms. There are two shorter (1.99 Å) and one longer (2.08 Å) Ni–B bond lengths. In the third Ni+1.25+ site, Ni+1.25+ is bonded to four B3- atoms to form a mixture of corner and edge-sharing NiB4 tetrahedra. There are a spread of Ni–B bond distances ranging from 1.99–2.09 Å. In the fourth Ni+1.25+ site, Ni+1.25+ is bonded in a T-shaped geometry to three B3- atoms. There are a spread of Ni–B bond distances ranging from 2.03–2.09 Å. In the fifth Ni+1.25+ site, Ni+1.25+ is bonded to four B3- atoms to form a mixture of corner and edge-sharing NiB4 tetrahedra. There are a spread of Ni–B bond distances ranging from 2.02–2.08 Å. In the sixth Ni+1.25+ site, Ni+1.25+ is bonded to four B3- atoms to form a mixture of distorted corner and edge-sharing NiB4 tetrahedra. There are a spread of Ni–B bond distances ranging from 2.03–2.10 Å. In the seventh Ni+1.25+ site, Ni+1.25+ is bonded in a distorted T-shaped geometry to three B3- atoms. There are a spread of Ni–B bond distances ranging from 2.04–2.17 Å. There are four inequivalent B3- sites. In the first B3- site, B3- is bonded in a 8-coordinate geometry to one Dy3+ and seven Ni+1.25+ atoms. In the second B3- site, B3- is bonded in a 9-coordinate geometry to one Dy3+ and eight Ni+1.25+ atoms. In the third B3- site, B3- is bonded in a 7-coordinate geometry to one Dy3+ and seven Ni+1.25+ atoms. In the fourth B3- site, B3- is bonded in a 7-coordinate geometry to one Dy3+ and seven Ni+1.25+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Dy(BRu)4 by Materials Project

Dy(RuB)4 crystallizes in the tetragonal I4_1/acd space group. The structure is three-dimensional. Dy3+ is bonded in a 12-coordinate geometry to twelve equivalent B3- atoms. There are a spread of Dy–B bond distances ranging from 2.98–3.22 Å. Ru+2.25+ is bonded to five equivalent B3- atoms to form a mixture of distorted edge and corner-sharing RuB5 trigonal bipyramids. There are a spread of Ru–B bond distances ranging from 2.14–2.29 Å. B3- is bonded in a 6-coordinate geometry to three equivalent Dy3+, five equivalent Ru+2.25+, and one B3- atom. The B–B bond length is 1.79 Å.

36 MATERIALS SCIENCE↗

Materials Data on Dy(NiB)2 by Materials Project

Dy(NiB)2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Dy3+ is bonded in a 6-coordinate geometry to six equivalent B3- atoms. There are a spread of Dy–B bond distances ranging from 2.69–2.89 Å. Ni+1.50+ is bonded in a 4-coordinate geometry to four equivalent B3- atoms. There are a spread of Ni–B bond distances ranging from 2.03–2.06 Å. B3- is bonded in a 8-coordinate geometry to three equivalent Dy3+, four equivalent Ni+1.50+, and one B3- atom. The B–B bond length is 1.73 Å.

36 MATERIALS SCIENCE↗

Materials Data on Dy(ZnP)3 by Materials Project

Dy(ZnP)3 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Dy3+ is bonded to six equivalent P3- atoms to form DyP6 octahedra that share corners with six equivalent ZnP4 tetrahedra, edges with six equivalent DyP6 octahedra, and edges with six equivalent ZnP4 tetrahedra. All Dy–P bond lengths are 2.85 Å. There are two inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Zn–P bond lengths are 2.31 Å. In the second Zn2+ site, Zn2+ is bonded to four P3- atoms to form ZnP4 tetrahedra that share corners with three equivalent DyP6 octahedra, corners with seven equivalent ZnP4 tetrahedra, and edges with three equivalent DyP6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are one shorter (2.41 Å) and three longer (2.48 Å) Zn–P bond lengths. There are two inequivalent P3- sites. In the first P3- site, P3- is bonded to three equivalent Dy3+ and three equivalent Zn2+ atoms to form PDy3Zn3 octahedra that share corners with three equivalent PDy3Zn3 octahedra, corners with three equivalent PZn5 trigonal bipyramids, and edges with nine equivalent PDy3Zn3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second P3- site, P3- is bonded to five Zn2+ atoms to form PZn5 trigonal bipyramids that share corners with six equivalent PDy3Zn3 octahedra and corners with six equivalent PZn5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 69°.

36 MATERIALS SCIENCE↗

Materials Data on Dy(NiSb)2 by Materials Project

Dy(NiSb)2 crystallizes in the tetragonal P4/nmm space group. The structure is three-dimensional. Dy3+ is bonded in a 8-coordinate geometry to eight Sb3- atoms. There are four shorter (3.32 Å) and four longer (3.38 Å) Dy–Sb bond lengths. There are two inequivalent Ni+1.50+ sites. In the first Ni+1.50+ site, Ni+1.50+ is bonded to four equivalent Sb3- atoms to form a mixture of edge and corner-sharing NiSb4 tetrahedra. All Ni–Sb bond lengths are 2.54 Å. In the second Ni+1.50+ site, Ni+1.50+ is bonded in a 5-coordinate geometry to five Sb3- atoms. There are one shorter (2.46 Å) and four longer (2.53 Å) Ni–Sb bond lengths. There are two inequivalent Sb3- sites. In the first Sb3- site, Sb3- is bonded in a 4-coordinate geometry to four equivalent Dy3+ and four equivalent Ni+1.50+ atoms. In the second Sb3- site, Sb3- is bonded in a 9-coordinate geometry to four equivalent Dy3+ and five Ni+1.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Dy(Co2B)6 by Materials Project

Dy(Co2B)6 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Dy3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Dy–B bond lengths are 3.03 Å. There are two inequivalent Co+1.25+ sites. In the first Co+1.25+ site, Co+1.25+ is bonded in a T-shaped geometry to three equivalent B3- atoms. All Co–B bond lengths are 2.10 Å. In the second Co+1.25+ site, Co+1.25+ is bonded to four equivalent B3- atoms to form a mixture of distorted corner and edge-sharing CoB4 trigonal pyramids. There are two shorter (2.02 Å) and two longer (2.03 Å) Co–B bond lengths. B3- is bonded in a 7-coordinate geometry to one Dy3+ and seven Co+1.25+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Dy(AlC)3 by Materials Project

Dy(AlC)3 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Dy3+ is bonded to six equivalent C4- atoms to form DyC6 octahedra that share corners with six equivalent AlC4 tetrahedra, edges with six equivalent DyC6 octahedra, and edges with six equivalent AlC4 tetrahedra. All Dy–C bond lengths are 2.56 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four C4- atoms to form AlC4 tetrahedra that share corners with three equivalent DyC6 octahedra, corners with seven equivalent AlC4 tetrahedra, and edges with three equivalent DyC6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are one shorter (2.02 Å) and three longer (2.10 Å) Al–C bond lengths. In the second Al3+ site, Al3+ is bonded in a trigonal planar geometry to three equivalent C4- atoms. All Al–C bond lengths are 1.98 Å. There are two inequivalent C4- sites. In the first C4- site, C4- is bonded in a 6-coordinate geometry to three equivalent Dy3+ and three equivalent Al3+ atoms. In the second C4- site, C4- is bonded to five Al3+ atoms to form corner-sharing CAl5 trigonal bipyramids.

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