Functional materials G.W. Yang1, Z.H. Li2, S. Yang3, J.Y. Li3, H. Zheng1, W.F. Zhu1, Z. Pan1, Y.F. Xu1 S.Z. Cao1, W.X. Zhao4, A. Jana5,6, J.W. Zhang1, M. Ye7, Y. Song1, L.H. Hu1 L.X. Yang4, J. Fujii5, I. Vobornik5, M. Shi1, H.Q. Yuan1,8, Y.J. Zhang3, Y.F. Xu1, Y. Liu1,8 1 Center for Correlated Matter and School of Physics, Zhejiang University, Hangzhou, China 2 Beijing National Laboratory for Condensed Matter Physics, Chinese Academy of Sciences, Beijing, China 3 Hubei Key Laboratory of Photoelectric Materials and Devices, Hubei Normal University, Huangshi, China 4 State Key Laboratory of Low Dimensional Quantum Physics, Tsinghua University, Beijing, China 5 CNR-IOM, TASC Laboratory, Trieste, Italy 6 International Center for Theoretical Physics (ICTP), Trieste, Italy 7 Shanghai Synchrotron Radiation Facility, Chinese Academy of Sciences, Shanghai, China 8 Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing, China e-mail: yjzhang@hbnu.edu.cn; y.xu@zju.edu.cn; yangliuphys@zju.edu.cn Acknowledgments The spin-resolved ARPES measurement in this study was conducted in Beamline 9.2 APE-LE, Elettra. We acknowledge Elettra Sincrotrone Trieste for providing access to its synchrotron radiation facilities and for financial support. Original paper G.W. Yang et al., Nat. Commun. 16, 1442 (2025); DOI:10.1038/s41467-025-56647-7. Fig. 1 [C2||Mz] [C2||C6z] [C2|| t ] or [T||P] 60° s s s ~ → Γ K H L M A bulk-type g-wave AM Γ-K nodal planes k z= nc*2 BZ boundary (g) (f) hν=80eV -3 -2 -1 0 E (eV) Γ(kz=0.28) M M ARPES (d) Γ(kz=0.28) M M AM with SOC <sz>0.5 -0.5 0 (e) 4.6 3.8 E=-0.5eV 4.4 4.0 4.2 M Γ M kz (c*) Γ M M L A L 90eV 80eV 68eV -1 -1 0 1 ky (Å ) -1 0 kx (Å-1) θ hν=80eV, E=-0.65eV [C2||C6z] s spin up spin down (h) (i) Intensity (a.u.) Sz up/down / -4 +4 0 Polarization (%) Γ(kz=0.28) M M Second Derivative high low (j) MDC (k) 1 -1 -2 0 E (eV) Γ(kz=0.28) M M q1+q4=0.176, q2+q3=0.195 U ΔEU=0.99eV Best Fit spin up spin down Σqi=0 Σqi=0.52 Best Fit 1 Γ (kz=0.28c*) M ΔE (eV) 1.5 0 0.5 fixed q1:q2+q3:q4 U spin-ARPES 0.32 0 0 q2+q3 (eV) 0.35 q1+q4 (eV) ΔEU (eV) 1 0 Best fit uniform compression fixed q1:q4 (l) (m) (b) (c) Cr Sb NN NNN 3NN Q P (a) Figure 1. Large altermagnetic splitting in CrSb. (a) Spin and lattice structure of CrSb. The NN, NNN and 3NN Cr-Cr bonds are indicated by the black arrow lines. (b) Symmetry operations connecting the opposite-spin sublattices. (c) The three-dimensional Brillouin zone (BZ) with high symmetry points and nodal planes labeled. (d) ARPES spectra along the in-plane Γ − M direction, kz = 0.28c*. (e) The second derivatives of (d). (f) Spin-resolved band structure from DFT calculations corresponding to (d,e). (g) The kx-kz map at E = -0.5 eV. The green dashed rectangle marks half of the BZ from M − Γ −M (kz = 0) to L − A − L (kz = 0.5c*). (h) The constant-energy kx-ky map at -0.65 eV, taken with 80 eV photons(kz ~ 0.28c*). The corresponding constant-energy contours from DFT calculations are overlaid on top as dashed curves. (i) Spin-resolved MDCs along the white dashed cut in (e). (j) The spin polarization extracted from the spin-resolved MDCs in (i). (k) Band dispersion along the Γ − M direction at kz = 0.28c* obtained from the TB model fit to DFT calculations. (l) Altermagnetic splitting ΔEU defined in (k) as a function of q2 + q3 and q1 + q4. (m) Altermagnetic splitting ΔE along the Γ − M direction at kz = 0.28c* with different values of Σqi. Elettra Highlights 2024–2025 13
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