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Ballistic spin resonance


The phenomenon of spin resonance has had far-reaching influence since its discovery 70 years ago1. Electron spin resonance driven by high-frequency magnetic fields has enhanced our understanding of quantum mechanics, and finds application in fields as diverse as medicine and quantum information2. Spin resonance can also be induced by high-frequency electric fields in materials with a spin–orbit interaction; the oscillation of the electrons creates a momentum-dependent effective magnetic field acting on the electron spin3,4,5,6,7,8,9. Here we report electron spin resonance due to a spin–orbit interaction that does not require external driving fields. The effect, which we term ballistic spin resonance, is driven by the free motion of electrons that bounce at frequencies of tens of gigahertz in micrometre-scale channels of a two-dimensional electron gas. This is a frequency range that is experimentally challenging to access in spin resonance, and especially difficult on a chip. The resonance is manifest in electrical measurements of pure spin currents10—we see a strong suppression of spin relaxation length when the oscillating spin–orbit field is in resonance with spin precession in a static magnetic field. These findings illustrate how the spin–orbit interaction can be harnessed for spin manipulation in a spintronic circuit11, and point the way to gate-tunable coherent spin rotations in ballistic nanostructures without external alternating current fields.

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Figure 1: Ballistic spin resonance.
Figure 2: Tuning the ballistic spin resonance with electron density.
Figure 3: Third harmonic resonance.
Figure 4: The effect of out-of-plane magnetic field.


  1. 1

    Rabi, I. I., Zacharias, J. R., Millman, S. & Kusch, P. A new method of measuring nuclear magnetic moment. Phys. Rev. 53, 318 (1938)

    ADS  CAS  Article  Google Scholar 

  2. 2

    Zavoisky, Y. K. Spinmagnetic resonance in paramagnetics. J. Phys. USSR 9, 245–246 (1945)

    Google Scholar 

  3. 3

    Dyakonov, M. I. & Perel, V. I. Spin relaxation of conduction electrons in noncentrosymmetric semiconductors. Sov. Phys. Solid State 13, 3023–3026 (1972)

    Google Scholar 

  4. 4

    Bell, R. L. Electric dipole spin transitions in InSb. Phys. Rev. Lett. 9, 52–54 (1962)

    ADS  CAS  Article  Google Scholar 

  5. 5

    Rashba, E. I. & Efros, A. L. Orbital mechanisms of electron-spin manipulation by an electric field. Phys. Rev. Lett. 91, 126405 (2003)

    ADS  CAS  Article  Google Scholar 

  6. 6

    Duckheim, M. & Loss, D. Electric-dipole-induced spin resonance in disordered semiconductors. Nature Phys. 2, 195–199 (2006)

    ADS  CAS  Article  Google Scholar 

  7. 7

    Kato, Y., Myers, R. C., Gossard, A. C. & Awschalom, D. D. Coherent spin manipulation without magnetic fields in strained semiconductors. Nature 427, 50–53 (2004)

    ADS  CAS  Article  Google Scholar 

  8. 8

    Meier, L. et al. Measurement of Rashba and Dresselhaus spin-orbit magnetic fields. Nature Phys. 3, 650–654 (2007)

    ADS  CAS  Article  Google Scholar 

  9. 9

    Nowack, K. C., Koppens, F. H. L., Nazarov, Y. V. & Vandersypen, L. M. K. Coherent control of a single electron spin with electric fields. Science 318, 1430–1433 (2007)

    ADS  CAS  Article  Google Scholar 

  10. 10

    Frolov, S. M. et al. Electrical generation of pure spin currents in a two-dimensional electron gas. Phys. Rev. Lett. 102, 116802 (2009)

    ADS  CAS  Article  Google Scholar 

  11. 11

    Wolf, S. A. et al. Spintronics: A spin-based electronics vision for the future. Science 294, 1488–1495 (2001)

    ADS  CAS  Article  Google Scholar 

  12. 12

    Koop, E. J., van Wees, B. J. & van der Wal, C. H. Confinement-enhanced spin relaxation for electron ensembles in large quantum dots. Preprint at 〈〉 (2008)

  13. 13

    Potok, R. M., Folk, J. A., Marcus, C. M. & Umansky, V. Detecting spin-polarized currents in ballistic nanostructures. Phys. Rev. Lett. 89, 266602 (2002)

    ADS  CAS  Article  Google Scholar 

  14. 14

    Koop, E. J. et al. Spin accumulation and spin relaxation in a large open quantum dot. Phys. Rev. Lett. 101, 056602 (2008)

    ADS  MathSciNet  CAS  Article  Google Scholar 

  15. 15

    Johnson, M. & Silsbee, R. H. Interfacial charge-spin coupling — Injection and detection of spin magnetization in metals. Phys. Rev. Lett. 55, 1790–1793 (1985)

    ADS  CAS  Article  Google Scholar 

  16. 16

    Jedema, F. J., Filip, A. T. & van Wees, B. J. Electrical spin injection and accumulation at room temperature in an all-metal mesoscopic spin valve. Nature 410, 345–348 (2001)

    ADS  CAS  Article  Google Scholar 

  17. 17

    Rashba, E. I. Properties of semiconductors with an extremum loop. Sov. Phys. Solid State 2, 1224–1238 (1960)

    Google Scholar 

  18. 18

    Dresselhaus, G. Spin-orbit coupling effects in zinc blende structures. Phys. Rev. 100, 580–586 (1955)

    ADS  CAS  Article  Google Scholar 

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We thank M. Berciu, M. Duckheim, J. C. Egues, D. Loss and G. Usaj for conversations. Work at UBC was supported by NSERC, CFI and CIFAR. W.W. acknowledges financial support by the Deutsche Forschungsgemeinschaft (DFG) in the framework of the programme ‘Halbleiter-Spintronik’ (SPP 1285).

Author Contributions S.M.F., J.A.F., W.Y. and Y.R. performed experiments, S.L. performed Monte Carlo simulations, W.W. provided heterostructures, and S.M.F. and J.A.F. wrote the paper.

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Correspondence to J. A. Folk.

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Frolov, S., Lüscher, S., Yu, W. et al. Ballistic spin resonance. Nature 458, 868–871 (2009).

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