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  • Letter
  • Open Access

Hybrid dyons, inverted Lorentz force, and magnetic Nernst effect in quantum spin ice

Chris R. Laumann1 and Roderich Moessner2

  • 1Department of Physics, Boston University, Boston, Massachusetts 02215, USA
  • 2Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany

Phys. Rev. B 108, L220402 – Published 11 December, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L220402

Abstract

Topological magnets host two sets of gauge fields: that of native Maxwell electromagnetism, owing to the magnetic dipole moment of its constituent microscopic moments, and that of the emergent gauge theory describing the topological phase. Here, we show that in quantum spin ice, the emergent magnetic charges of the latter carry native electric charge of the former. We both provide a general symmetry-based analysis underpinning this result, and discuss a microscopic mechanism which binds a native electric charge to the emergent magnetic one. This has important ramifications. First and foremost, an applied electric field gives rise to an emergent magnetic field. This in turn exerts an “inverted” Lorentz force on moving emergent electric/native magnetic charges. This can be probed via what we term a magnetic Nernst effect: Applying an electric field perpendicular to a temperature gradient yields a magnetization perpendicular to both. Finally, and importantly as a further potential experimental signature, a thermal gas of emergent magnetic charges will make an activated contribution to the optical conductivity at low temperatures.

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References (42)

  1. R. Moessner and J. E. Moore, Topological Phases of Matter (Cambridge University Press, Cambridge, UK, 2021).
  2. H. Takagi, T. Takayama, G. Jackeli, G. Khaliullin, and S. E. Nagler, Nat. Rev. Phys. 1, 264 (2019).
  3. J. Knolle and R. Moessner, Annu. Rev. Condens. Matter Phys. 10, 451 (2019).
  4. M. Udagawa and L. Jaubert, Spin Ice (Springer, Berlin, 2021).
  5. R. Rajaraman, arXiv:cond-mat/0103366.
  6. P. W. Anderson, Phys. Rev. 102, 1008 (1956).
  7. S. T. Bramwell and M. J. Gingras, Science 294, 1495 (2001).
  8. M. Hermele, M. P. A. Fisher, and L. Balents, Phys. Rev. B 69, 064404 (2004).
  9. C. Castelnovo, R. Moessner, and S. L. Sondhi, Annu. Rev. Condens. Matter Phys. 3, 35 (2012).
  10. M. J. P. Gingras and P. A. McClarty, Rep. Prog. Phys. 77, 056501 (2014).
  11. J. G. Rau and M. J. Gingras, Annu. Rev. Condens. Matter Phys. 10, 357 (2019).
  12. R. Moessner and S. L. Sondhi, Phys. Rev. B 68, 184512 (2003).
  13. S. D. Pace, S. C. Morampudi, R. Moessner, and C. R. Laumann, Phys. Rev. Lett. 127, 117205 (2021).
  14. O. Benton, O. Sikora, and N. Shannon, Phys. Rev. B 86, 075154 (2012).
  15. C. Castelnovo, R. Moessner, and S. L. Sondhi, Nature (London) 451, 42 (2008).
  16. R. Moessner and S. L. Sondhi, Phys. Rev. Lett. 105, 166401 (2010).
  17. D. I. Khomskii, Nat. Commun. 3, 904 (2012).
  18. S. D. Pace and X.-G. Wen, Phys. Rev. B 107, 075112 (2023).
  19. A. C. Potter, T. Senthil, and P. A. Lee, Phys. Rev. B 87, 245106 (2013).
  20. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.108.L220402 for a symmetry analysis of the microscopic polarisation operator; a discussion of the system of units; and a toy model of octahedral spin ice.
  21. S. Nakosai and S. Onoda, J. Phys. Soc. Jpn. 88, 053701 (2019).
  22. D. Zwanziger, Phys. Rev. 176, 1489 (1968).
  23. E. Witten, Phys. Lett. B 86, 283 (1979).
  24. S. D. Pace, C. Castelnovo, and C. R. Laumann, Phys. Rev. Lett. 130, 076701 (2023).
  25. S. T. Bramwell, S. R. Giblin, S. Calder, R. Aldus, D. Prabhakaran, and T. Fennell, Nature (London) 461, 956 (2009).
  26. D. Slobinsky, C. Castelnovo, R. A. Borzi, A. S. Gibbs, A. P. Mackenzie, R. Moessner, and S. A. Grigera, Phys. Rev. Lett. 105, 267205 (2010).
  27. X.-T. Zhang, Y. H. Gao, C. Liu, and G. Chen, Phys. Rev. Res. 2, 013066 (2020).
  28. J. S. Gardner, M. J. P. Gingras, and J. E. Greedan, Rev. Mod. Phys. 82, 53 (2010).
  29. K. A. Ross, L. Savary, B. D. Gaulin, and L. Balents, Phys. Rev. X 1, 021002 (2011).
  30. J. D. Thompson, P. A. McClarty, D. Prabhakaran, I. Cabrera, T. Guidi, and R. Coldea, Phys. Rev. Lett. 119, 057203 (2017).
  31. E. M. Smith, O. Benton, D. R. Yahne, B. Placke, R. Schäfer, J. Gaudet, J. Dudemaine, A. Fitterman, J. Beare, A. R. Wildes, S. Bhattacharya, T. DeLazzer, C. R. C. Buhariwalla, N. P. Butch, R. Movshovich, J. D. Garrett, C. A. Marjerrison, J. P. Clancy, E. Kermarrec, G. M. Luke et al., Phys. Rev. X 12, 021015 (2022).
  32. B. Gao, T. Chen, D. W. Tam, C.-L. Huang, K. Sasmal, D. T. Adroja, F. Ye, H. Cao, G. Sala, M. B. Stone, C. Baines, J. A. T. Verezhak, H. Hu, J.-H. Chung, X. Xu, S.-W. Cheong, M. Nallaiyan, S. Spagna, M. B. Maple, A. H. Nevidomskyy et al., Nat. Phys. 15, 1052 (2019).
  33. V. K. Anand, L. Opherden, J. Xu, D. T. Adroja, A. T. M. N. Islam, T. Herrmannsdörfer, J. Hornung, R. Schönemann, M. Uhlarz, H. C. Walker, N. Casati, and B. Lake, Phys. Rev. B 94, 144415 (2016).
  34. R. Sibille, N. Gauthier, H. Yan, M. Ciomaga Hatnean, J. Ollivier, B. Winn, U. Filges, G. Balakrishnan, M. Kenzelmann, N. Shannon, and T. Fennell, Nat. Phys. 14, 711 (2018).
  35. N. Tang, Y. Gritsenko, K. Kimura, S. Bhattacharjee, A. Sakai, M. Fu, H. Takeda, H. Man, K. Sugawara, Y. Matsumoto, Y. Shimura, J. Wen, C. Broholm, H. Sawa, M. Takigawa, T. Sakakibara, S. Zherlitsyn, J. Wosnitza, R. Moessner, and S. Nakatsuji, Nat. Phys. 19, 92 (2023).
  36. S. Simon, A. S. Patri, and Y. B. Kim, Phys. Rev. B 106, 064427 (2022).
  37. É. Lantagne-Hurtubise, S. Bhattacharjee, and R. Moessner, Phys. Rev. B 96, 125145 (2017).
  38. A. Libál, C. Reichhardt, and C. J. Olson Reichhardt, Phys. Rev. Lett. 97, 228302 (2006).
  39. C. Nisoli, R. Moessner, and P. Schiffer, Rev. Mod. Phys. 85, 1473 (2013).
  40. S. H. Skjærvø, C. H. Marrows, R. L. Stamps, and L. J. Heyderman, Nat. Rev. Phys. 2, 13 (2020).
  41. A. D. King, C. Nisoli, E. D. Dahl, G. Poulin-Lamarre, and A. Lopez-Bezanilla, Science 373, 576 (2021).
  42. J. Shah, G. Nambiar, A. V. Gorshkov, and V. Galitski, arXiv:2301.04657.

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