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  • Open Access

Freestanding magnetic membranes on graphene for spin-filtering applications

Luca Nessi1,2, Christian Rinaldi1, Riccardo Bertacco1,2, G Rossi3,4, and Matteo Cantoni1,2,*

  • *Contact author: matteo.cantoni@polimi.it

Phys. Rev. Applied 25, 034037 – Published 11 March, 2026

DOI: https://doi.org/10.1103/nmpf-mhdw

Abstract

Spin polarimetry of low-energy electron beams is of considerable importance for a wide range of applications. However, an efficient method for two-dimensional, quantitative spin mapping is still lacking as state-of-art detectors rely on the sequential measurement of the spin polarization at individual points in energy and momentum space. In this work, we exploit the spin-dependent transmission of electrons through ultrathin magnetic layers embedded in a suspended matrix of a few graphene layers, fabricated in the form of micrometric magnetic freestanding membranes with an overall thickness below 10 nm, allowing significant transmission of low-energy electrons. We systematically investigate the role of deposition process, number of graphene layers, and magnetic materials with both in-plane and out-of-plane magnetization. We end up with optimized fabrication conditions for producing highly reliable elastic membranes with energy-dependent transmittivity suitable for spin filtering. We also present an analytical model that describes the detection of the spin polarization of an electron beam and outlines the experimental conditions under which such measurements can be performed using suspended magnetic membranes. This research paves the way for the development of spin filters that can be seamlessly integrated into existing detection systems, enabling spin-, angle-, and energy-resolved photoemission experiments as add-on functionality.

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References (41)

  1. Y. L. Chen, J. G. Analytis, J.-H. Chu, Z. K. Liu, S.-K. Mo, X. L. Qi, H. J. Zhang, D. H. Lu, X. Dai, Z. Fang, et al., Experimental realization of a three-dimensional topological insulator, Bi2Te3, Science 325, 178 (2009).
  2. C. Rinaldi, S. Varotto, M. Asa, J. Sławińska, J. Fujii, G. Vinai, S. Cecchi, D. Di Sante, R. Calarco, I. Vobornik, et al., Ferroelectric control of the spin texture in GeTe, Nano Lett. 18, 2751 (2018).
  3. S.-Y. Xu, I. Belopolski, N. Alidoust, M. Neupane, G. Bian, C. Zhang, R. Sankar, G. Chang, Z. Yuan, C.-C. Lee, et al., Discovery of a Weyl fermion semimetal and topological Fermi arcs, Science 349, 613 (2015).
  4. L. Šmejkal, J. Sinova, and T. Jungwirth, Beyond conventional ferromagnetism and antiferromagnetism: A phase with nonrelativistic spin and crystal rotation symmetry, Phys. Rev. X 12, 031042 (2022).
  5. F. Mazzola, W. Brzezicki, M. T. Mercaldo, A. Guarino, C. Bigi, J. A. Miwa, D. De Fazio, A. Crepaldi, J. Fujii, G. Rossi, et al., Signatures of a surface spin–orbital chiral metal, Nature 626, 752 (2024).
  6. J. Krempaský, L. Šmejkal, S. W. D’Souza, M. Hajlaoui, G. Springholz, K. Uhlířová, F. Alarab, P. C. Constantinou, V. Strocov, D. Usanov, et al., Altermagnetic lifting of Kramers spin degeneracy, Nature 626, 517 (2024).
  7. J. Kessler, Polarized Electrons (Springer-Verlag, Berlin, 1976).
  8. J. Stöhr and H. C. Siegmann, Magnetism: From Fundamentals to Nanoscale Dynamics (Springer, Berlin, 2006).
  9. J. Kirschner and R. Feder, Spin polarization in double diffraction of low-energy electrons from W(001): Experiment and theory, Phys. Rev. Lett. 42, 1008 (1979).
  10. T. J. Gay and F. Dunning, Mott electron polarimetry, Rev. Sci. Instrum. 63, 1635 (1992).
  11. C. Tusche, M. Ellguth, A. A. Ünal, C.-T. Chiang, A. Winkelmann, A. Krasyuk, M. Hahn, G. Schönhense, and J. Kirschner, Spin resolved photoelectron microscopy using a two-dimensional spin-polarizing electron mirror, Appl. Phys. Lett. 99, 032505 (2011).
  12. T. Okuda, Y. Takeichi, Y. Maeda, A. Harasawa, I. Matsuda, T. Kinoshita, and A. Kakizaki, A new spin-polarized photoemission spectrometer with very high efficiency and energy resolution, Rev. Sci. Instrum. 79, 123117 (2008).
  13. C. Bigi, P. K. Das, D. Benedetti, F. Salvador, D. Krizmancic, R. Sergo, A. Martin, G. Panaccione, G. Rossi, J. Fujii, et al., Very efficient spin polarization analysis (VESPA): New exchange scattering-based setup for spin-resolved ARPES at APE-NFFA beamline at Elettra, J. Synchrotron Radiat. 24, 750 (2017).
  14. R. Bertacco, M. Merano, and F. Ciccacci, Spin dependent electron absorption in Fe(001)-p(1 × 1)O⁠: A new candidate for a stable and efficient electron polarization analyzer, Appl. Phys. Lett. 72, 2050 (1998).
  15. R. Bertacco, M. Marcon, G. Trezzi, L. Duò, and F. Ciccacci, Spin and energy analysis of electron beams: Coupling a polarimeter based on exchange scattering to a hemispherical analyzer, Rev. Sci. Instrum. 73, 3867 (2002).
  16. F. Ji, T. Shi, M. Ye, W. Wan, Z. Liu, J. Wang, T. Xu, and S. Qiao, Multichannel exchange-scattering spin polarimetry, Phys. Rev. Lett. 116, 177601 (2016).
  17. T. Övergaard, B. M. Wojek, M. Leandersson, H. Ohldag, S. Bonetti, T. Wiell, and O. Tjernberg, Free-standing magnetic nano-membranes for electron spin-filtering applications, arXiv:1709.03838 (2017).
  18. D. Oberli, R. Burgermeister, S. Riesen, W. Weber, and H. Siegmann, Total scattering cross section and spin motion of low energy electrons passing through a ferromagnet, Phys. Rev. Lett. 81, 4228 (1998).
  19. D. Oberli, S. Riesen, W. Weber, and H. Siegmann, Transmission and spin motion of electrons across ferromagnets, J. Magn. Magn. Mater. 198–199, 140 (1999).
  20. N. Rougemaille, H.-J. Drouhin, G. Lampel, J. Peretti, Y. Lassailly, and A. Schuhl, Spin-dependent electron transport in ferromagnetic bilayers: Application to three-dimensional spin detectors, J. Appl. Phys. 91, 8408 (2002).
  21. O. E. Tereshchenko, V. V. Bakin, S. A. Stepanov, V. A. Golyashov, A. S. Mikaeva, D. A. Kustov, V. S. Rusetsky, S. A. Rozhkov, H. E. Scheibler, and A. Yu. Demin, Direct spin-imaging detector based on freestanding magnetic nanomembranes, Phys. Rev. Lett. 134, 157002 (2025).
  22. C. Lee, X. Wei, J. W. Kysar, and J. Hone, Measurement of the elastic properties and intrinsic strength of monolayer graphene, Science 321, 385 (2008).
  23. S. Ikeda, K. Miura, H. Yamamoto, K. Mizunuma, H. D. Gan, M. Endo, S. Kanai, J. Hayakawa, F. Matsukura, and H. Ohno, A perpendicular-anisotropy CoFeB–MgO magnetic tunnel junction, Nat. Mater. 9, 721 (2010).
  24. R. Bertacco, M. Cantoni, M. Riva, A. Tagliaferri, and F. Ciccacci, Epitaxial growth and characterization of layered magnetic nanostructures, Appl. Surf. Sci. 252, 1754 (2005).
  25. M. Cantoni and R. Bertacco, High efficiency apparatus for spin polarized inverse photoemission, Rev. Sci. Instrum. 75, 2387 (2004).
  26. C. H. Verbeno, J. Zázvorka, L. Nowak, and M. Veis, Magnetic coercivity control via buffer layer roughness in Pt/Co multilayers, J. Magn. Magn. Mater. 585, 171124 (2023).
  27. M. P. Seah and W. A. Dench, Quantitative electron spectroscopy of surfaces: A standard data base for electron inelastic mean free paths in solids, Surf. Interface Anal. 1, 2 (1979).
  28. C. Ren, S. Wang, H. Tian, Y. Luo, J. Yu, Y. Xu, and M. Sun, First-principles investigation on electronic properties and band alignment of group III monochalcogenides, Sci. Rep. 9, 13289 (2019).
  29. H. Michaelson, The work function of the elements and its periodicity, J. Appl. Phys. 48, 4729 (1977).
  30. M. Cantoni, M. Riva, R. Bertacco, and F. Ciccacci, Uniaxial magnetic anisotropies in Fe films on single crystal and virtual Ge(001) substrates studied with spin polarized inverse photoemission and MOKE, Phys. Rev. B 74, 134415 (2006).
  31. A. Cattoni, D. Petti, S. Brivio, M. Cantoni, R. Bertacco, and F. Ciccacci, MgO/Fe(001) and MgO/Fe(001)-p(1 × 1)O interfaces for magnetic tunnel junctions: A comparative study, Phys. Rev. B 80, 104437 (2009).
  32. M. Cantoni, R. Bertacco, A. Brambilla, M. Finazzi, L. Duò, F. Ciccacci, A. Verdini, L. Floreano, A. Morgante, M. Passoni, et al., Fe nanoparticles on ZnSe: Reversible temperature dependence of the surface barrier potential, Phys. Rev. B 85, 155456 (2012).
  33. G. J. Strijkers, Y. Ji, F. Y. Yang, C. L. Chien, and J. M. Byers, Andreev reflections at metal/superconductor point contacts: Measurement and analysis, Phys. Rev. B 63, 104510 (2001).
  34. S. X. Huang, T. Y. Chen, and C. L. Chien, Spin polarization of amorphous CoFeB determined by point-contact Andreev reflection, Appl. Phys. Lett. 92, 242509 (2008).
  35. Y. Lassailly, H.-J. Drouhin, A. J. van der Sluijs, G. Lampel, and C. Marlière, Spin-dependent transmission of low-energy electrons through ultrathin magnetic layers, Phys. Rev. B 50, 13054 (1994).
  36. T. Pincelli, F. Grasselli, V. N. Petrov, P. Torelli, and G. Rossi, Performance of photoelectron spin polarimeters with continuous and pulsed sources: From storage rings to free electron lasers, J. Synchrotron Radiat. 24, 175 (2017).
  37. For better precision, the variable asymmetry in the energy window can be rescaled to a constant value by data postprocessing exploiting an energy-dependent correction factor measured on a reference magnetic sample.
  38. L. H. Friedman, W.-L. Wu, W.-E. Fu, and Y. Chien, Reflective small angle electron scattering to characterize nanostructures on opaque substrates, Appl. Phys. Lett. 111, 123106 (2017).
  39. R. W. Carpenter, J. Bentley, and E. A. Kenik, Small-angle electron scattering in the transmission electron microscope, J. Appl. Cryst. 11, 564 (1978).
  40. F. Ciccacci, E. Vescovo, G. Chiaia, S. De Rossi, and M. Tosca, Spin-polarized electron gun for electron spectroscopies, Rev. Sci. Instrum. 63, 3333 (1992).
  41. https://doi.org/10.5281/zenodo.18785822

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