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Abstract
Van der Waals (vdW) magnetic materials are comprised of layers of atomically thin sheets, making them ideal platforms for studying magnetism at the two-dimensional (2D) limit. These materials are at the center of a host of novel types of experiments, however, there are notably few pathways to directly probe their magnetic structure. We confirm the magnetic order within a single crystal of NiPS3 and show it can be accessed with resonant elastic X-ray diffraction along the edge of the vdW planes in a carefully grown crystal by detecting structurally forbidden resonant magnetic X-ray scattering. We find the magnetic order parameter has a critical exponent of β ~ 0.36, indicating that the magnetism of these vdW crystals is more adequately characterized by the three-dimensional (3D) Heisenberg universality class. We verify these findings with first-principles density functional theory, Monte-Carlo simulations, and density matrix renormalization group calculations.
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1 Carnegie Mellon University, Department of Physics, Pittsburgh, USA (GRID:grid.147455.6) (ISNI:0000 0001 2097 0344); Stanford University, Stanford Institute for Materials and Energy Sciences, Menlo Park, USA (GRID:grid.168010.e) (ISNI:0000 0004 1936 8956); SLAC National Accelerator Laboratory, Linac Coherent Light Source, Menlo Park, USA (GRID:grid.445003.6) (ISNI:0000 0001 0725 7771)
2 Howard University, Department of Physics, Washington, USA (GRID:grid.257127.4) (ISNI:0000 0001 0547 4545)
3 Stanford University, Stanford Institute for Materials and Energy Sciences, Menlo Park, USA (GRID:grid.168010.e) (ISNI:0000 0004 1936 8956)
4 Howard University, Department of Physics, Washington, USA (GRID:grid.257127.4) (ISNI:0000 0001 0547 4545); Northeastern University, Department of Physics, Boston, USA (GRID:grid.261112.7) (ISNI:0000 0001 2173 3359)
5 Stanford University, Stanford Institute for Materials and Energy Sciences, Menlo Park, USA (GRID:grid.168010.e) (ISNI:0000 0004 1936 8956); SLAC National Accelerator Laboratory, Linac Coherent Light Source, Menlo Park, USA (GRID:grid.445003.6) (ISNI:0000 0001 0725 7771); Lund University, Division of Synchrotron Radiation Research, Department of Physics, Lund, Sweden (GRID:grid.4514.4) (ISNI:0000 0001 0930 2361)
6 Stanford University, Stanford Institute for Materials and Energy Sciences, Menlo Park, USA (GRID:grid.168010.e) (ISNI:0000 0004 1936 8956); SLAC National Accelerator Laboratory, Linac Coherent Light Source, Menlo Park, USA (GRID:grid.445003.6) (ISNI:0000 0001 0725 7771)
7 SLAC National Accelerator Laboratory, Linac Coherent Light Source, Menlo Park, USA (GRID:grid.445003.6) (ISNI:0000 0001 0725 7771)
8 Stanford University, Stanford Institute for Materials and Energy Sciences, Menlo Park, USA (GRID:grid.168010.e) (ISNI:0000 0004 1936 8956); SLAC National Accelerator Laboratory, Linac Coherent Light Source, Menlo Park, USA (GRID:grid.445003.6) (ISNI:0000 0001 0725 7771); Northeastern University, Department of Physics, Boston, USA (GRID:grid.261112.7) (ISNI:0000 0001 2173 3359)
9 SLAC National Accelerator Laboratory, Stanford Synchrotron Light Source, Menlo Park, USA (GRID:grid.445003.6) (ISNI:0000 0001 0725 7771)
10 Lawrence Berkeley National Laboratory, Advanced Light Source, Berkeley, USA (GRID:grid.184769.5) (ISNI:0000 0001 2231 4551)
11 Argonne National Laboratory, Advanced Photon Source, Lemont, USA (GRID:grid.187073.a) (ISNI:0000 0001 1939 4845)
12 Lund University, Division of Synchrotron Radiation Research, Department of Physics, Lund, Sweden (GRID:grid.4514.4) (ISNI:0000 0001 0930 2361)
13 Northeastern University, Department of Physics, Boston, USA (GRID:grid.261112.7) (ISNI:0000 0001 2173 3359)
14 Stanford University, Stanford Institute for Materials and Energy Sciences, Menlo Park, USA (GRID:grid.168010.e) (ISNI:0000 0004 1936 8956); Stanford University, Department of Materials Science and Engineering, Stanford, USA (GRID:grid.168010.e) (ISNI:0000 0004 1936 8956)