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Direct observation of the discrete character of intrinsic localized modes in an antiferromagnet

Nature volume 432, pages 486–488 (2004)Cite this article

Abstract

In a strongly nonlinear discrete system, the spatial size of an excitation can become comparable to, and influenced by, the lattice spacing. Such intrinsic localized modes (ILMs)—also called ‘discrete breathers’ or ‘lattice solitons’—are responsible for energy localization in the dynamics of discrete nonlinear lattices1,2,3,4,5. Their energy profiles resemble those of localized modes of defects in a harmonic lattice but, like solitons, they can move (although, unlike solitons, some energy is exchanged during collisions between them). The manipulation of these localized energy ‘hotspots’ has been achieved in systems as diverse as annular arrays of coupled Josephson junctions6,7, optical waveguide arrays8, two-dimensional nonlinear photonic crystals9 and micromechanical cantilever arrays10. There is also some evidence for the existence of localized excitations in atomic lattices11,12,13,14,15, although individual ILMs have yet to be identified. Here we report the observation of countable localized excitations in an antiferromagnetic spin lattice by means of a nonlinear spectroscopic technique. This detection capability permits the properties of individual ILMs to be probed; the disappearance of each ILM registers as a step in the time-dependent signal, with the surprising result that the energy staircase of ILM excitations is uniquely defined.

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Figure 1: Schematic diagrams of the experimental procedure and the nonlinear process.
Figure 2: Snapshot of the mixing spectrum versus the probe oscillator frequency.
Figure 3: Experimental demonstration of ILM energy quantization.

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References

  1. Kiselev, S. A., Bickham, S. R. & Sievers, A. J. Properties of intrinsic localized modes in one-dimensional lattices. Comments Condens. Matter Phys. 17, 135–173 (1995)

    CAS  Google Scholar 

  2. Flach, S. & Willis, C. R. Discrete breathers. Phys. Rep. 295, 182–264 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  3. Lai, R. & Sievers, A. J. Nonlinear nanoscale localization of magnetic excitations in atomic lattices. Phys. Rep. 314, 147–236 (1999)

    Article  ADS  CAS  Google Scholar 

  4. Campbell, D. K., Flach, S. & Kivshar, Y. S. Localizing energy through nonlinearity and discreteness. Phys. Today 57, 43–49 (2004)

    Article  ADS  CAS  Google Scholar 

  5. Flach, S. in Energy Localisation and Transfer (eds Dauxois, T., Litvak-Hinenzon, A., MacKay, R. & Spanoudaki, A.) 1–71 (World Scientific, London, 2004)

    Book  Google Scholar 

  6. Trías, E., Mazo, J. J. & Orlando, T. P. Discrete breathers in nonlinear lattices: Experimental detection in a Josephson array. Phys. Rev. Lett. 84, 741–744 (2000)

    Article  ADS  Google Scholar 

  7. Binder, P., Abraimov, D., Ustinov, A. V., Flach, S. & Zolotaryuk, Y. Observation of breathers in Josephson ladders. Phys. Rev. Lett. 84, 745–748 (2000)

    Article  ADS  CAS  Google Scholar 

  8. Eisenberg, H. S., Silberberg, Y., Morandotti, R., Boyd, A. R. & Aitchison, J. S. Discrete spatial optical solitons in waveguide arrays. Phys. Rev. Lett. 81, 3383–3386 (1998)

    Article  ADS  CAS  Google Scholar 

  9. Fleischer, J. W., Segev, M., Efremidis, N. K. & Christodoulides, D. N. Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices. Nature 422, 147–150 (2003)

    Article  ADS  CAS  Google Scholar 

  10. Sato, M., Hubbard, B. E., Sievers, A. J., Ilic, B. & Craighead, H. G. Optical manipulation of intrinsic localized vibrational energy in cantilever arrays. Europhys. Lett. 66, 318–323 (2004)

    Article  ADS  CAS  Google Scholar 

  11. Swanson, B. I. et al. Observation of intrinsically localized modes in a discrete low dimensional material. Phys. Rev. Lett. 82, 3288–3291 (1999)

    Article  ADS  CAS  Google Scholar 

  12. Fehske, H., Kinateder, M., Wellein, G. & Bishop, A. R. Quantum lattice effects in mixed-valence transition-metal chain complexes. Phys. Rev. B 63, 245121 (2001)

    Article  ADS  Google Scholar 

  13. Schwarz, U. T., English, L. Q. & Sievers, A. J. Experimental generation and observation of intrinsic localized spin wave modes in an antiferromagnet. Phys. Rev. Lett. 83, 223–227 (1999)

    Article  ADS  CAS  Google Scholar 

  14. Xie, A., van der Meer, L., Hoff, W. & Austin, R. H. Long-lived Amide I vibrational modes in myoglobin. Phys. Rev. Lett. 84, 5435–5438 (2000)

    Article  ADS  CAS  Google Scholar 

  15. Markovich, T., Polturak, E., Bossy, J. & Farhi, E. Observation of a new excitation in bcc He-4 by inelastic neutron scattering. Phys. Rev. Lett. 88, 195301 (2002)

    Article  ADS  CAS  Google Scholar 

  16. Chikamatsu, M., Tanaka, M. & Yamazaki, H. Effect of magnetic dipolar interaction on antiferromagnetic resonance in (C2H5NH3)2CuCl4 . J. Phys. Soc. Jpn 50, 2876–2883 (1981)

    Article  ADS  CAS  Google Scholar 

  17. de Jongh, L. J. in Physics and Chemistry of Materials with Low-Dimensional Structures (ed. Lévy, F.) 1–51 (Kluwer Academic, Dordrecht, 1990)

    Google Scholar 

  18. Sato, M., English, L. Q., Hubbard, B. E. & Sievers, A. J. Influence of sample shape on the production of intrinsic localized modes in an antiferromagnetic lattice. J. Appl. Phys. 91, 8676–8678 (2002)

    Article  ADS  CAS  Google Scholar 

  19. English, L. Q. Studies of Intrinsic Localized Spin-Wave Modes in Antiferromagnetic Crystals. Ph.D. thesis, Cornell Univ. (2003)

    Google Scholar 

  20. Rössler, T. & Page, J. B. Intrinsic localized modes in driven anharmonic lattices with realistic potentials. Phys. Lett. A 204, 418–426 (1995)

    Article  ADS  Google Scholar 

  21. Sato, M. et al. Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array. Phys. Rev. Lett. 90, 044102 (2003)

    Article  ADS  CAS  Google Scholar 

  22. Shen, Y. R. The Principles of Nonlinear Optics (John Wiley & Sons, New York, 1984)

    Google Scholar 

  23. Almeida, N. S. & Mills, D. L. Nonlinear infrared response of antiferromagnets. Phys. Rev. B 36, 2015–2023 (1987)

    Article  ADS  CAS  Google Scholar 

  24. Lim, S.-C., Osman, J. & Tilley, D. R. Calculation of nonlinear magnetic susceptibility tensors for a uniaxial antiferromagnet. J. Phys. D 33, 2899–2910 (2000)

    Article  ADS  CAS  Google Scholar 

  25. Lai, R. & Sievers, A. J. Identification of an intrinsic localized spin wave resonance in antiferromagnetic chains with single-ion easy-plane anisotropy. Phys. Rev. B 55, 11937–11940 (1997)

    Article  ADS  Google Scholar 

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Acknowledgements

We acknowledge conversations with P. Brouwer, L. English, B. Hubbard, D. Mills, J. Page, J. Parpia, J. Sethna and R. Silsbee. This work was supported by NSF-DMR and by the Cornell Center for Materials Research.

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  1. Laboratory of Atomic and Solid State Physics and Cornell Center for Materials Research, Cornell University, Ithaca, New York, 14850-2501, USA

    M. Sato & A. J. Sievers

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Correspondence to A. J. Sievers.

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Sato, M., Sievers, A. Direct observation of the discrete character of intrinsic localized modes in an antiferromagnet. Nature 432, 486–488 (2004). https://doi.org/10.1038/nature03038

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