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Deliberate exotic magnetism via frustration and topology

Introduced originally to mimic the unusual, frustrated behaviour of spin ice pyrochlores, artificial spin ice can be realized in odd, dedicated geometries that open the door to new manifestations of a higher level of frustration.

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Figure 1: Pairwise Frustration.
Figure 2: Vertex frustration.

References

  1. Anderson, P. W. Science 177, 393–396 (1972).

    ADS  Article  Google Scholar 

  2. Laughlin, R. B. & Pines, D. Proc. Natl Acad. Sci. USA 97, 28–31 (2000).

    ADS  MathSciNet  Article  Google Scholar 

  3. Wang, R. F. et al. Nature 439, 303–306 (2006).

    ADS  Article  Google Scholar 

  4. Gilbert, I., Nisoli, C. & Schiffer, P. Phys. Today 69, 54–59 (July, 2016).

  5. Heyderman, L. & Stamps, R. J. Phys. Condens. Matter 25, 363201 (2013).

    Article  Google Scholar 

  6. Harris, M. J., Bramwell, S. T., McMorrow, D. F., Zeiske, T. & Godfrey, K. W. Phys. Rev. Lett. 79, 2554–2557 (1997).

    ADS  Article  Google Scholar 

  7. Ramirez, A. P., Hayashi, A., Cava, R. J., Siddharthan, R. & Shastry, B. S. Nature 399, 333–335 (1999).

    ADS  Article  Google Scholar 

  8. Engheta, N. & Ziolkowski, R. W. (eds) Metamaterials: Physics and Engineering Explorations (Wiley, 2006).

    Book  Google Scholar 

  9. Baxter, R. J. Exactly Solved Models in Statistical Mechanics (Academic, 1982).

    MATH  Google Scholar 

  10. Pauling, L. J. Am. Chem. Soc. 57, 2680–2684 (1935).

    Article  Google Scholar 

  11. Castelnovo, C., Moessner, R. & Sondhi, S. L. Nature 451, 42–45 (2008).

    ADS  Article  Google Scholar 

  12. Möller, G. & Moessner, R. Phys. Rev. B 80, 140409(R) (2009).

    ADS  Article  Google Scholar 

  13. Mól, L. A. et al. J. Appl. Phys. 106, 063913 (2009).

    ADS  Article  Google Scholar 

  14. Ladak, S., Read, D. E., Perkins, G. K., Cohen, L. F. & Branford, W. R. Nat. Phys. 6, 359–363 (2010).

    Article  Google Scholar 

  15. Mengotti, E. et al. Nat. Phys. 7, 68–74 (2010).

    Article  Google Scholar 

  16. Gilbert, I. et al. Phys. Rev. B 92, 104417 (2015).

    ADS  Article  Google Scholar 

  17. Ryzhkin, I. A. J. Exp. Theor. Phys. 101, 481–486 (2005).

    ADS  Article  Google Scholar 

  18. Chern, G.-W., Mellado, P. & Tchernyshyov, O. Phys. Rev. Lett. 106, 207202 (2011).

    ADS  Article  Google Scholar 

  19. Qi, Y., Brintlinger, T. & Cumings, J. Phys. Rev. B 77, 094418 (2008).

    ADS  Article  Google Scholar 

  20. Nisoli, C. et al. Phys. Rev. Lett. 105, 047205 (2010).

    ADS  Article  Google Scholar 

  21. Ke, X. et al. Phys. Rev. Lett. 101, 037205 (2008).

    ADS  Article  Google Scholar 

  22. Zhang, S. et al. Nature 500, 553–557 (2013).

    ADS  Article  Google Scholar 

  23. Drisko, J., Daunheimer, S. & Cumings, J. Phys. Rev. B 91, 224406 (2015).

    ADS  Article  Google Scholar 

  24. Kapaklis, V. et al. New J. Phys. 14, 035009 (2012).

    ADS  Article  Google Scholar 

  25. Kapaklis, V. et al. Nat. Nanotech. 9, 514–519 (2014).

    ADS  Article  Google Scholar 

  26. Farhan, A. et al. Nat. Phys. 9, 375–382 (2013).

    Article  Google Scholar 

  27. Morgan, J. P., Stein, A., Langridge, S. & Marrows, C. H. Nat. Phys. 7, 75–79 (2010).

    Article  Google Scholar 

  28. Porro, J., Bedoya-Pinto, A., Berger, A. & Vavassori, P. New J. Phys. 15, 055012 (2013).

    ADS  Article  Google Scholar 

  29. Drisko, J., Marsh, T. & Cumings, J. Nat. Commun. 8, 14009 (2017).

    ADS  Article  Google Scholar 

  30. Anghinolfi, L. et al. Nat. Commun. 6, 8278 (2015).

    ADS  Article  Google Scholar 

  31. Zhang, S et al. Phys. Rev. Lett. 109, 087201 (2012).

    ADS  Article  Google Scholar 

  32. Möller, G. & Moessner, R. Phys. Rev. Lett. 96, 237202 (2006).

    ADS  Article  Google Scholar 

  33. Perrin, Y., Canals, B. & Rougemaille, N. Nature 540, 410–413 (2016).

    ADS  Article  Google Scholar 

  34. Morrison, M. J., Nelson, T. R. & Nisoli, C. New J. Phys. 15, 045009 (2013).

    ADS  Article  Google Scholar 

  35. Stamps, R. L. Nat. Phys. 10, 623–624 (2014).

    Article  Google Scholar 

  36. Chern, G.-W., Morrison, M. J. & Nisoli, C. Phys. Rev. Lett. 111, 177201 (2013).

    ADS  Article  Google Scholar 

  37. Gilbert, I. et al. Nat. Phys. 12, 162–165 (2016).

    Article  Google Scholar 

  38. Gilbert, I. et al. Nat. Phys. 10, 670–675 (2014).

    Article  Google Scholar 

  39. Jungeisch, M. B. et al. Phys. Rev. B 93, 100401(R) (2016).

    ADS  Article  Google Scholar 

  40. Di Ventra, M. & Pershin, Y. V. Nat. Phys. 9, 200–202 (2013).

    Article  Google Scholar 

  41. Wang, Y.-L. et al. Science 352, 962–966 (2016).

    ADS  Article  Google Scholar 

Download references

Acknowledgements

C.N.'s work is carried out under the auspices of the NNSA of the US Department of Energy at LANL under contract no. DE-AC52-06NA25396 and financed by the Department of Energy at the LANL IMS. V.K. acknowledges funding from the Knut and Alice Wallenberg Foundation. P.S. was funded by the US Department of Energy, Office of Basic Energy Sciences, Materials Science and Engineering Division under grant no. DE-SC0010778.

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Nisoli, C., Kapaklis, V. & Schiffer, P. Deliberate exotic magnetism via frustration and topology. Nature Phys 13, 200–203 (2017). https://doi.org/10.1038/nphys4059

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