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Large Exchange Coupling Between Localized Spins and Topological Bands in MnBi 2 Te 4

Magnetism in topological materials creates phases exhibiting quantized transport phenomena with potential technological applications. The emergence of such phases relies on strong interaction between localized spins and the topological bands, and the consequent formation of an exchange gap. However, this remains experimentally unquantified in intrinsic magnetic topological materials. Here, this interaction is quantified in MnBi 2 Te 4 , a topological insulator with intrinsic antiferromagnetism. This is achieved by optically exciting Bi-Te p states comprising the bulk topological bands and interrogating the consequent Mn 3d spin dynamics, using a multimodal ultrafast approach. Ultrafast electron scattering and magneto-optic measurements show that the p states demagnetize via electron-phonon scattering at picosecond timescales. Despite being energetically decoupled from the optical excitation, the Mn 3d spins, probed by resonant X-ray scattering, are observed to disorder concurrently with the p spins. Together with atomistic simulations, this reveals that the exchange coupling between localized spins and the topological bands is at least 100 times larger than the superexchange interaction, implying an optimal exchange gap of at least 25 meV in the surface states. Here, by quantifying this exchange coupling, this study validates the materials-by-design strategy of utilizing localized magnetic order to manipulate topological phases, spanning static to ultrafast timescales.

36 MATERIALS SCIENCE↗

Quasi-two-dimensional ferromagnetism and anisotropic interlayer couplings in the magnetic topological insulator MnBi 2 Te 4

MnBi 2 Te 4 (MBT) is a promising van der Waals layered antiferromagnetic (AFM) topological insulator that combines a topologically nontrivial inverted Bi-Te band gap with ferromagnetic (FM) layers of Mn ions. Here, the inelastic neutron scattering on single crystals reported here describes rather complex magnetism in MBT. The magnetic anisotropy that controls the bulk and surface magnetic field response of MBT is found to have contributions from both single-ion and interlayer two-ion terms. A description of the quasi-two-dimensional intralayer FM spin waves requires long-range, competing FM and AFM interactions and anomalous damping. While this might suggest carrier-mediated magnetic coupling, abinitio calculations in insulating MBT also find long-range interactions, and classical spin dynamics simulations suggest that magnetic vacancies are at least partially responsible for observations of anomalous damping near the zone boundary.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Materials Data on BiTe by Materials Project

BiTe is MAX Phase-derived structured and crystallizes in the trigonal P-3m1 space group. The structure is two-dimensional and consists of two BiTe sheets oriented in the (0, 0, 1) direction. there are three inequivalent Bi2+ sites. In the first Bi2+ site, Bi2+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (3.11 Å) and three longer (3.28 Å) Bi–Te bond lengths. In the second Bi2+ site, Bi2+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (3.09 Å) and three longer (3.29 Å) Bi–Te bond lengths. In the third Bi2+ site, Bi2+ is bonded in a 3-coordinate geometry to three equivalent Te2- atoms. All Bi–Te bond lengths are 3.70 Å. There are three inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 3-coordinate geometry to three equivalent Bi2+ atoms. In the second Te2- site, Te2- is bonded to six Bi2+ atoms to form a mixture of distorted edge and corner-sharing TeBi6 octahedra. The corner-sharing octahedral tilt angles are 4°. In the third Te2- site, Te2- is bonded to six Bi2+ atoms to form a mixture of edge and corner-sharing TeBi6 octahedra. The corner-sharing octahedral tilt angles are 4°.

36 MATERIALS SCIENCE↗

Materials Data on Bi4Te3 by Materials Project

Bi4Te3 is MAX Phase-derived structured and crystallizes in the trigonal R-3m space group. The structure is two-dimensional and consists of three Bi4Te3 sheets oriented in the (0, 0, 1) direction. there are two inequivalent Bi+1.50+ sites. In the first Bi+1.50+ site, Bi+1.50+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (3.11 Å) and three longer (3.29 Å) Bi–Te bond lengths. In the second Bi+1.50+ site, Bi+1.50+ is bonded in a 3-coordinate geometry to three equivalent Te2- atoms. All Bi–Te bond lengths are 3.66 Å. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to six equivalent Bi+1.50+ atoms to form a mixture of edge and corner-sharing TeBi6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the second Te2- site, Te2- is bonded to six Bi+1.50+ atoms to form a mixture of distorted edge and corner-sharing TeBi6 octahedra. The corner-sharing octahedral tilt angles are 5°.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Te3 by Materials Project

Bi2Te3 is MAX Phase-derived structured and crystallizes in the trigonal R-3m space group. The structure is two-dimensional and consists of three Bi2Te3 sheets oriented in the (0, 0, 1) direction. Bi3+ is bonded to six Te2- atoms to form a mixture of corner and edge-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (3.10 Å) and three longer (3.29 Å) Bi–Te bond lengths. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 6-coordinate geometry to three equivalent Bi3+ atoms. In the second Te2- site, Te2- is bonded to six equivalent Bi3+ atoms to form edge-sharing TeBi6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on BiTe3 by Materials Project

BiTe3 crystallizes in the trigonal R3m space group. The structure is three-dimensional. Bi5+ is bonded to six Te+1.67- atoms to form edge-sharing BiTe6 octahedra. There are three shorter (3.18 Å) and three longer (3.22 Å) Bi–Te bond lengths. There are three inequivalent Te+1.67- sites. In the first Te+1.67- site, Te+1.67- is bonded in a 6-coordinate geometry to six Te+1.67- atoms. There are three shorter (3.27 Å) and three longer (3.30 Å) Te–Te bond lengths. In the second Te+1.67- site, Te+1.67- is bonded in a 6-coordinate geometry to three equivalent Bi5+ and three equivalent Te+1.67- atoms. In the third Te+1.67- site, Te+1.67- is bonded to three equivalent Bi5+ and three equivalent Te+1.67- atoms to form distorted edge-sharing TeBi3Te3 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Te3 by Materials Project

Bi2Te3 is trigonal omega-like structured and crystallizes in the trigonal R3m space group. The structure is two-dimensional and consists of three Bi2Te3 sheets oriented in the (0, 0, 1) direction. there are two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three equivalent Te2- atoms. All Bi–Te bond lengths are 3.14 Å. In the second Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three equivalent Te2- atoms. All Bi–Te bond lengths are 3.13 Å. There are three inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to three equivalent Bi3+ and three equivalent Te2- atoms to form a mixture of corner and edge-sharing TeBi3Te3 octahedra. The corner-sharing octahedral tilt angles are 0°. All Te–Te bond lengths are 3.28 Å. In the second Te2- site, Te2- is bonded to six Te2- atoms to form edge-sharing TeTe6 octahedra. All Te–Te bond lengths are 3.28 Å. In the third Te2- site, Te2- is bonded to three equivalent Bi3+ and three equivalent Te2- atoms to form a mixture of corner and edge-sharing TeBi3Te3 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on BiTe by Materials Project

BiTe is Molybdenum Carbide MAX Phase-like structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Bi2+ is bonded to six equivalent Te2- atoms to form a mixture of edge and corner-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Bi–Te bond lengths are 3.25 Å. Te2- is bonded to six equivalent Bi2+ atoms to form a mixture of edge and corner-sharing TeBi6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗