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  • Open Access

Ballistic Spin Valve in Graphene Realized via Electron Optics

Daniel Burrow1, Oktay Deveci1, Rares Dragomir1, Thomas Thomson2, and Ivan J. Vera-Marun1,*

  • 1Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
  • 2Nano-Engineering and Spintronic Technologies (NEST), Department of Computer Science, University of Manchester, Manchester M13 9PL, United Kingdom

  • *Contact author: ivan.veramarun@manchester.ac.uk

Phys. Rev. X 16, 021029 – Published 7 May, 2026

DOI: https://doi.org/10.1103/nz6m-kb4l

Abstract

Graphene is an ideal platform for supporting ballistic, spin-coherent transport—crucial ingredients for spin-based quantum technologies. Here, we demonstrate a spin-dependent electron-optic mechanism that enables spin-transistor-like control of spin transport in a graphene spin valve, in the absence of spin-orbit coupling in the transport channel. Using transverse magnetic focusing in a high-mobility graphene device, we couple spin and orbital degrees of freedom through charge transfer doping and proximity exchange at ferromagnetic contacts. This coupling allows for gate-tunable modulation of both the amplitude and polarity of the spin signal, reminiscent of the functionality of a Datta-Das spin field-effect transistor. Measurements confirm that spin-coherent ballistic transport is observable up to room temperature. Our results demonstrate an operational principle for spintronic devices based on spin-dependent electron optics in low spin-orbit coupling materials such as graphene.

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References (52)

  1. C. R. Dean, A. F. Young, I. Meric, C. Lee, L. Wang, S. Sorgenfrei, K. Watanabe, T. Taniguchi, P. Kim, K. L. Shepard, and J. Hone, Boron nitride substrates for high-quality graphene electronics, Nat. Nanotechnol. 5, 722 (2010).
  2. A. S. Mayorov, R. V. Gorbachev, S. V. Morozov, L. Britnell, R. Jalil, L. A. Ponomarenko, P. Blake, K. S. Novoselov, K. Watanabe, T. Taniguchi, and A. K. Geim, Micrometer-scale ballistic transport in encapsulated graphene at room temperature, Nano Lett. 11, 2396 (2011).
  3. L. Banszerus, M. Schmitz, S. Engels, M. Goldsche, K. Watanabe, T. Taniguchi, B. Beschoten, and C. Stampfer, Ballistic transport exceeding 28  μm in CVD grown graphene, Nano Lett. 16, 1387 (2016).
  4. N. Xin, J. Lourembam, P. Kumaravadivel, A. E. Kazantsev, Z. Wu, C. Mullan, J. Barrier, A. A. Geim, I. V. Grigorieva, A. Mishchenko, A. Principi, V. I. Fal’ko, L. A. Ponomarenko, A. K. Geim, and A. I. Berdyugin, Giant magnetoresistance of dirac plasma in high-mobility graphene, Nature (London) 616, 270 (2023).
  5. A. Avsar, H. Ochoa, F. Guinea, B. Özyilmaz, B. J. van Wees, and I. J. Vera-Marun, Colloquium: Spintronics in graphene and other two-dimensional materials, Rev. Mod. Phys. 92, 021003 (2020).
  6. P. J. Zomer, M. H. D. Guimarães, N. Tombros, and B. J. van Wees, Long-distance spin transport in high-mobility graphene on hexagonal boron nitride, Phys. Rev. B 86, 161416(R) (2012).
  7. M. Drögeler, C. Franzen, F. Volmer, T. Pohlmann, L. Banszerus, M. Wolter, K. Watanabe, T. Taniguchi, C. Stampfer, and B. Beschoten, Spin lifetimes exceeding 12 ns in graphene nonlocal spin valve devices, Nano Lett. 16, 3533 (2016).
  8. A. Laturia, M. L. V. de Put, and W. G. Vandenberghe, Dielectric properties of hexagonal boron nitride and transition metal dichalcogenides: From monolayer to bulk, npj 2D Mater. Appl. 2, 6 (2018).
  9. V. H. Guarochico-Moreira, J. L. Sambricio, K. Omari, C. R. Anderson, D. A. Bandurin, J. C. Toscano-Figueroa, N. Natera-Cordero, K. Watanabe, T. Taniguchi, I. V. Grigorieva, and I. J. Vera-Marun, Tunable spin injection in high-quality graphene with one-dimensional contacts, Nano Lett. 22, 935 (2022).
  10. N. Tombros, C. Jozsa, M. Popinciuc, H. T. Jonkman, and B. J. van Wees, Electronic spin transport and spin precession in single graphene layers at room temperature, Nature (London) 448, 571 (2007).
  11. J. Xue, J. Sanchez-Yamagishi, D. Bulmash, P. Jacquod, A. Deshpande, K. Watanabe, T. Taniguchi, P. Jarillo-Herrero, and B. J. LeRoy, Scanning tunnelling microscopy and spectroscopy of ultra-flat graphene on hexagonal boron nitride, Nat. Mater. 10, 282 (2011).
  12. J. Fabian, A. Matos-Abiague, C. Ertler, P. Stano, and I. Žutić, Semiconductor spintronics, Acta Phys. Slovaca 57, 565 (2007); arXiv:0711.1461.
  13. D. Huertas-Hernando, F. Guinea, and A. Brataas, Spin-orbit-mediated spin relaxation in graphene, Phys. Rev. Lett. 103, 146801 (2009).
  14. H. Ochoa, A. H. Castro Neto, V. I. Fal’ko, and F. Guinea, Spin-orbit coupling assisted by flexural phonons in graphene, Phys. Rev. B 86, 245411 (2012).
  15. H. Ochoa, A. H. Castro Neto, and F. Guinea, Elliot-Yafet mechanism in graphene, Phys. Rev. Lett. 108, 206808 (2012).
  16. I. M. Vicent, H. Ochoa, and F. Guinea, Spin relaxation in corrugated graphene, Phys. Rev. B 95, 195402 (2017).
  17. F. J. Jedema, M. V. Costache, H. B. Heersche, J. J. A. Baselmans, and B. J. van Wees, Electrical detection of spin accumulation and spin precession at room temperature in metallic spin valves, Appl. Phys. Lett. 81, 5162 (2002).
  18. M. Vila, J. H. Garcia, A. W. Cummings, S. R. Power, C. W. Groth, X. Waintal, and S. Roche, Nonlocal spin dynamics in the crossover from diffusive to ballistic transport, Phys. Rev. Lett. 124, 196602 (2020).
  19. M. Oltscher, M. Ciorga, M. Utz, D. Schuh, D. Bougeard, and D. Weiss, Electrical spin injection into high mobility 2D systems, Phys. Rev. Lett. 113, 236602 (2014).
  20. K. Chen and S. Zhang, Enhancement of spin accumulation in ballistic transport regime, Phys. Rev. B 92, 214402 (2015).
  21. H. van Houten, C. W. J. Beenakker, J. G. Williamson, M. E. I. Broekaart, P. H. M. van Loosdrecht, B. J. van Wees, J. E. Mooij, C. T. Foxon, and J. J. Harris, Coherent electron focusing with quantum point contacts in a two-dimensional electron gas, Phys. Rev. B 39, 8556 (1989).
  22. T. Taychatanapat, K. Watanabe, T. Taniguchi, and P. Jarillo-Herrero, Electrically tunable transverse magnetic focusing in graphene, Nat. Phys. 9, 225 (2013).
  23. V. V. Cheianov, V. Fal’ko, and B. L. Altshuler, The focusing of electron flow and a veselago lens in graphene p-n junctions, Science 315, 1252 (2007).
  24. G.-H. Lee, G.-H. Park, and H.-J. Lee, Observation of negative refraction of Dirac fermions in graphene, Nat. Phys. 11, 925 (2015).
  25. L. P. Rokhinson, V. Larkina, Y. B. Lyanda-Geller, L. N. Pfeiffer, and K. W. West, Spin separation in cyclotron motion, Phys. Rev. Lett. 93, 146601 (2004).
  26. Q. Rao, W.-H. Kang, H. Xue, Z. Ye, X. Feng, K. Watanabe, T. Taniguchi, N. Wang, M.-H. Liu, and D.-K. Ki, Ballistic transport spectroscopy of spin-orbit-coupled bands in monolayer graphene on WSe2, Nat. Commun. 14, 6124 (2023).
  27. S. Chen, Z. Han, M. M. Elahi, K. M. M. Habib, L. Wang, B. Wen, Y. Gao, T. Taniguchi, K. Watanabe, J. Hone, A. W. Ghosh, and C. R. Dean, Electron optics with p-n junctions in ballistic graphene, Science 353, 1522 (2016).
  28. C. Yan, S. Kumar, K. Thomas, P. See, I. Farrer, D. Ritchie, J. Griffiths, G. Jones, and M. Pepper, Coherent spin amplification using a beam splitter, Phys. Rev. Lett. 120, 137701 (2018).
  29. H. Chakraborti, C. Gorini, A. Knothe, M.-H. Liu, P. Makk, F. D. Parmentier, D. Perconte, K. Richter, P. Roulleau, B. Sacépé, C. Schönenberger, and W. Yang, Electron wave and quantum optics in graphene, J. Phys. Condens. Matter 36, 393001 (2024).
  30. J. Ingla-Aynés, Antonio L. Manesco, T. S. Ghiasi, K. Watanabe, T. Taniguchi, and H. S. J. van der Zant, Ballistic electron source with magnetically controlled valley polarization in bilayer graphene, Phys. Rev. Lett. 133, 156301 (2024).
  31. A. I. Berdyugin, B. Tsim, P. Kumaravadivel, S. G. Xu, A. Ceferino, A. Knothe, R. K. Kumar, T. Taniguchi, K. Watanabe, A. K. Geim, I. V. Grigorieva, and V. I. Fal’ko, Minibands in twisted bilayer graphene probed by magnetic focusing, Sci. Adv. 6, eaay7838 (2020).
  32. X. Zhang, W. Ren, E. Bell, Z. Zhu, K.-T. Tsai, Y. Luo, K. Watanabe, T. Taniguchi, E. Kaxiras, M. Luskin, and K. Wang, Gate-tunable Veselago interference in a bipolar graphene microcavity, Nat. Commun. 13, 6711 (2022).
  33. H. Chakraborti, L. Pugliese, A. Assouline, K. Watanabe, T. Taniguchi, N. Kumada, C. G. D., M. Jo, H. S. Sim, and P. Roulleau, Electron collision in a two-path graphene interferometer, Science 388, 492 (2025).
  34. S. Datta and B. Das, Electronic analog of the electro-optic modulator, Appl. Phys. Lett. 56, 665 (1990).
  35. L. Wang, I. Meric, P. Y. Huang, Q. Gao, Y. Gao, H. Tran, T. Taniguchi, K. Watanabe, L. M. Campos, D. A. Muller, J. Guo, P. Kim, J. Hone, K. L. Shepard, and C. R. Dean, One-dimensional electrical contact to a two-dimensional material, Science 342, 614 (2013).
  36. B. Karpiak, A. Dankert, A. W. Cummings, S. R. Power, S. Roche, and S. P. Dash, 1D ferromagnetic edge contacts to 2D graphene/h-bn heterostructures, 2D Mater. 5, 014001 (2017).
  37. D. Burrow, J. C. Toscano-Figueroa, V. H. Guarochico-Moreira, K. Omari, I. V. Grigorieva, T. Thomson, and I. J. Vera-Marun, Spin polarised quantised transport via one-dimensional nanowire-graphene contacts, Commun. Mater. 6, 33 (2025).
  38. See Supplemental Material at http://link.aps.org/supplemental/10.1103/nz6m-kb4l for calculations of mean free path, relevant transport timescales and exchange splitting, as well as a description of the electron optics ray-tracing simulation used to support our experimental results.
  39. J. C. Toscano-Figueroa, D. Burrow, V. H. Guarochico-Moreira, C. Xie, T. Thomson, I. V. Grigorieva, and I. J. Vera-Marun, Oblique spin injection to graphene via geometry controlled magnetic nanowires, npj Spintronics 2, 38 (2024).
  40. B. Huard, N. Stander, J. A. Sulpizio, and D. Goldhaber-Gordon, Evidence of the role of contacts on the observed electron-hole asymmetry in graphene, Phys. Rev. B 78, 121402(R) (2008).
  41. T. Mueller, F. Xia, M. Freitag, J. Tsang, and P. Avouris, Role of contacts in graphene transistors: A scanning photocurrent study, Phys. Rev. B 79, 245430 (2009).
  42. P. U. Asshoff, J. L. Sambricio, A. P. Rooney, S. Slizovskiy, A. Mishchenko, A. M. Rakowski, E. W. Hill, A. K. Geim, S. J. Haigh, V. I. Fal’ko, I. J. Vera-Marun, and I. V. Grigorieva, Magnetoresistance of vertical co-graphene-nife junctions controlled by charge transfer and proximity-induced spin splitting in graphene, 2D Mater. 4, 031004 (2017).
  43. C. W. J. Beenakker and H. van Houten, Billiard model of a ballistic multiprobe conductor, Phys. Rev. Lett. 63, 1857 (1989).
  44. A. Habib, J. Xu, Y. Ping, and R. Sundararaman, Electric fields and substrates dramatically accelerate spin relaxation in graphene, Phys. Rev. B 105, 115122 (2022).
  45. S.-T. Lo, C.-H. Chen, J.-C. Fan, L. W. Smith, G. L. Creeth, C.-W. Chang, M. Pepper, J. P. Griffiths, I. Farrer, H. E. Beere, G. A. C. Jones, D. A. Ritchie, and T.-M. Chen, Controlled spatial separation of spins and coherent dynamics in spin-orbit-coupled nanostructures, Nat. Commun. 8, 15997 (2017).
  46. M. J. Rendell, S. D. Liles, A. Srinivasan, O. Klochan, I. Farrer, D. A. Ritchie, and A. R. Hamilton, Spin polarization and spin-dependent scattering of holes observed in transverse magnetic focusing, Phys. Rev. B 107, 045304 (2023).
  47. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81, 109 (2009).
  48. J. Xu, S. Singh, J. Katoch, G. Wu, T. Zhu, I. Žutić, and R. K. Kawakami, Spin inversion in graphene spin valves by gate-tunable magnetic proximity effect at one-dimensional contacts, Nat. Commun. 9, 2869 (2018).
  49. F. Xia, V. Perebeinos, Y. ming Lin, Y. Wu, and P. Avouris, The origins and limits of metal–graphene junction resistance, Nat. Nanotechnol. 6, 179 (2011).
  50. U. Sivan, M. Heiblum, C. P. Umbach, and H. Shtrikman, Electrostatic electron lens in the ballistic regime, Phys. Rev. B 41, 7937 (1990).
  51. B. Dieny et al., Opportunities and challenges for spintronics in the microelectronics industry, National electronics review 3, 446 (2020).
  52. D. Burrow, O. Deveci, R. Dragomir, T. Thomson, and I. Vera Marun, Ballistic spin transistor in graphene via spin-dependent electron optics, 10.5281/zenodo.16094537 (2025).

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