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Spin liquid fingerprints in the thermal transport of a Kitaev-Heisenberg ladder

Alexandros Metavitsiadis1,*, Christina Psaroudaki2,†, and Wolfram Brenig1,‡

  • 1Institute for Theoretical Physics, Technical University Braunschweig, D-38106 Braunschweig, Germany
  • 2Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland

  • *a.metavitsiadis@tu-bs.de
  • †christina.psaroudaki@unibas.ch
  • ‡w.brenig@tu-bs.de
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Phys. Rev. B 99, 205129 – Published 17 May, 2019

DOI: https://doi.org/10.1103/PhysRevB.99.205129

Abstract

We identify fingerprints of a proximate quantum spin liquid (QSL), observable by finite-temperature dynamical thermal transport within a minimal version of the idealized Kitaev model on a two-leg ladder if subjected to inevitably present Heisenberg couplings. Using exact diagonalization and quantum typicality, we uncover (i) an insulator-conductor crossover induced by recombination of fractionalized excitations at small Heisenberg couplings, (ii) low- and high-energy signatures of fractionalized excitations, which survive far off the pure QSL point, and (iii) a nonmonotonous current lifetime versus Heisenberg couplings. Guided by perturbation theory, we find (iv) a Kitaev-exchange-induced “one-magnon” contribution to the dynamical heat transport in the strong Heisenberg rung limit.

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References (57)

  1. L. Savary and L. Balents, Rep. Prog. Phys. 80, 016502 (2017).
  2. Y. Zhou, K. Kanoda, and T.-K. Ng, Rev. Mod. Phys. 89, 025003 (2017).
  3. R. Coldea, D. A. Tennant, A. M. Tsvelik, and Z. Tylczynski, Phys. Rev. Lett. 86, 1335 (2001).
  4. J. S. Helton, K. Matan, M. P. Shores, E. A. Nytko, B. M. Bartlett, Y. Yoshida, Y. Takano, A. Suslov, Y. Qiu, J.-H. Chung, D. G. Nocera, and Y. S. Lee, Phys. Rev. Lett. 98, 107204 (2007).
  5. M. Gomilšek, M. Klanjšek, R. Žitko, M. Pregelj, F. Bert, P. Mendels, Y. Li, Q. M. Zhang, and A. Zorko, Phys. Rev. Lett. 119, 137205 (2017).
  6. M. Hermanns, K. O'Brien, and S. Trebst, Phys. Rev. Lett. 114, 157202 (2015).
  7. K. Le Hur, A. Soret, and F. Yang, Phys. Rev. B 96, 205109 (2017).
  8. P. A. Lee, J. Phys.: Conf. Ser. 529, 012001 (2014).
  9. A. Kitaev, Ann. Phys. (NY) 321, 2 (2006), January special issue.
  10. M. Hermanns, I. Kimchi, and J. Knolle, Annu. Rev. Condens. Matter Phys. 9, 17 (2018).
  11. L.-M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. 91, 090402 (2003).
  12. G. Jackeli and G. Khaliullin, Phys. Rev. Lett. 102, 017205 (2009).
  13. J. Chaloupka, G. Jackeli, and G. Khaliullin, Phys. Rev. Lett. 105, 027204 (2010).
  14. R. Yadav, N. A. Bogdanov, V. M. Katukuri, S. Nishimoto, J. van den Brink, and L. Hozoi, Sci. Rep. 6, 37925 (2016).
  15. S. K. Choi, R. Coldea, A. N. Kolmogorov, T. Lancaster, I. I. Mazin, S. J. Blundell, P. G. Radaelli, Y. Singh, P. Gegenwart, K. R. Choi, S.-W. Cheong, P. J. Baker, C. Stock, and J. Taylor, Phys. Rev. Lett. 108, 127204 (2012).
  16. S. Nishimoto, V. M. Katukuri, V. Yushankhai, H. Stoll, U. K. Rößler, L. Hozoi, I. Rousochatzakis, and J. van den Brink, Nat. Commun. 7, 10273 (2016).
  17. F. Ye, S. Chi, H. Cao, B. C. Chakoumakos, J. A. Fernandez-Baca, R. Custelcean, T. F. Qi, O. B. Korneta, and G. Cao, Phys. Rev. B 85, 180403(R) (2012).
  18. K. Kitagawa, T. Takayama, Y. Matsumoto, A. Kato, R. Takano, Y. Kishimoto, S. Bette, R. Dinnebier, G. Jackeli, and H. Takagi, Nature (London) 554, 341 (2018).
  19. A. Banerjee, C. A. Bridges, J.-Q. Yan, A. A. Aczel, L. Li, M. B. Stone, G. E. Granroth, M. D. Lumsden, Y. Yiu, J. Knolle, S. Bhattacharjee, D. L. Kovrizhin, R. Moessner, D. A. Tennant, D. G. Mandrus, and S. E. Nagler, Nature Mater. 15, 733 (2016).
  20. L. J. Sandilands, Y. Tian, K. W. Plumb, Y.-J. Kim, and K. S. Burch, Phys. Rev. Lett. 114, 147201 (2015).
  21. A. Glamazda, P. Lemmens, S.-H. Do, Y. S. Kwon, and K.-Y. Choi, Phys. Rev. B 95, 174429 (2017).
  22. S. M. Winter, K. Riedl, D. Kaib, R. Coldea, and R. Valentí, Phys. Rev. Lett. 120, 077203 (2018).
  23. J. Nasu, J. Knolle, D. Kovrizhin, Y. Motome, and R. Moessner, Nat. Phys. 12, 912 (2016).
  24. S. M. Winter, K. Riedl, P. A. Maksimov, A. L. Chernyshev, A. Honecker, and R. Valentí, Nat. Commun. 8, 1152 (2017).
  25. C. Hess, B. Büchner, U. Ammerahl, L. Colonescu, F. Heidrich-Meisner, W. Brenig, and A. Revcolevschi, Phys. Rev. Lett. 90, 197002 (2003).
  26. N. Hlubek, P. Ribeiro, R. Saint-Martin, A. Revcolevschi, G. Roth, G. Behr, B. Büchner, and C. Hess, Phys. Rev. B 81, 020405(R) (2010).
  27. D. Hirobe, M. Sato, Y. Shiomi, H. Tanaka, and E. Saitoh, Phys. Rev. B 95, 241112(R) (2017).
  28. Y. J. Yu, Y. Xu, K. J. Ran, J. M. Ni, Y. Y. Huang, J. H. Wang, J. S. Wen, and S. Y. Li, Phys. Rev. Lett. 120, 067202 (2018).
  29. R. Hentrich, A. U. B. Wolter, X. Zotos, W. Brenig, D. Nowak, A. Isaeva, T. Doert, A. Banerjee, P. Lampen-Kelley, D. G. Mandrus, S. E. Nagler, J. Sears, Y.-J. Kim, B. Büchner, and C. Hess, Phys. Rev. Lett. 120, 117204 (2018).
  30. I. A. Leahy, C. A. Pocs, P. E. Siegfried, D. Graf, S.-H. Do, K.-Y. Choi, B. Normand, and M. Lee, Phys. Rev. Lett. 118, 187203 (2017).
  31. R. Hentrich, M. Roslova, A. Isaeva, T. Doert, W. Brenig, B. Büchner, and C. Hess, Phys. Rev. B 99, 085136 (2019).
  32. S.-H. Baek, S.-H. Do, K.-Y. Choi, Y. S. Kwon, A. U. B. Wolter, S. Nishimoto, J. van den Brink, and B. Büchner, Phys. Rev. Lett. 119, 037201 (2017).
  33. Y. Kasahara, T. Ohnishi, Y. Mizukami, O. Tanaka, S. Ma, K. Sugii, N. Kurita, H. Tanaka, J. Nasu, Y. Motome, T. Shibauchi, and Y. Matsuda, Nature (London) 559, 227 (2018).
  34. J. Nasu, J. Yoshitake, and Y. Motome, Phys. Rev. Lett. 119, 127204 (2017).
  35. A. Metavitsiadis and W. Brenig, Phys. Rev. B 96, 041115(R) (2017).
  36. A. Metavitsiadis, A. Pidatella, and W. Brenig, Phys. Rev. B 96, 205121 (2017).
  37. A. K. R. Briffa and X. Zotos, Phys. Rev. B 97, 064406 (2018).
  38. G. L. Stamokostas, P. E. Lapas, and G. A. Fiete, Phys. Rev. B 95, 064410 (2017).
  39. B. Dalla Piazza, M. Mourigal, N. B. Christensen, G. J. Nilsen, P. Tregenna-Piggott, T. G. Perring, M. Enderle, D. F. McMorrow, D. A. Ivanov, and H. M. Rønnow, Nat. Phys. 11, 62 (2015).
  40. M. Gohlke, R. Verresen, R. Moessner, and F. Pollmann, Phys. Rev. Lett. 119, 157203 (2017).
  41. X.-Y. Feng, G.-M. Zhang, and T. Xiang, Phys. Rev. Lett. 98, 087204 (2007).
  42. N. Wu, Phys. Lett. A 376, 3530 (2012).
  43. E. Dagotto and T. M. Rice, Science 271, 618 (1996).
  44. X. Zotos, Phys. Rev. Lett. 92, 067202 (2004).
  45. R. Steinigeweg, J. Herbrych, X. Zotos, and W. Brenig, Phys. Rev. Lett. 116, 017202 (2016).
  46. G. D. Mahan, Many-Particle Physics (Plenum, New York, 1981), pp. xiv, 1003.
  47. X. Zotos and P. Prelovšek, Phys. Rev. B 53, 983 (1996).
  48. R. Steinigeweg, J. Gemmer, and W. Brenig, Phys. Rev. Lett. 112, 120601 (2014).
  49. B. S. Shastry, Phys. Rev. B 73, 085117 (2006).
  50. P. W. Anderson, Phys. Rev. 109, 1492 (1958).
  51. C. E. Agrapidis, J. van den Brink, and S. Nishimoto, arXiv:1902.00466.
  52. N. Papanicolaou and P. Spathis, J. Phys.: Condens. Matter 2, 6575 (1990).
  53. M. Reigrotzki, H. Tsunetsugu, and T. M. Rice, J. Phys.: Condens. Matter 6, 9235 (1994).
  54. V. N. Kotov, O. P. Sushkov, and R. Eder, Phys. Rev. B 59, 6266 (1999).
  55. M. Montagnese, M. Otter, X. Zotos, D. A. Fishman, N. Hlubek, O. Mityashkin, C. Hess, R. Saint-Martin, S. Singh, A. Revcolevschi, and P. H. M. van Loosdrecht, Phys. Rev. Lett. 110, 147206 (2013).
  56. M. Otter, V. Krasnikov, D. Fishman, M. Pshenichnikov, R. Saint-Martin, A. Revcolevschi, and P. van Loosdrecht, J. Magn. Magn. Mater. 321, 796 (2009).
  57. A. Schmidt, M. Chiesa, X. Chen, and G. Chen, Rev. Sci. Instrum. 79, 064902 (2008).

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Phys. Rev. B 99, 205129– Published 17 May, 2019
  • Received 29 June 2018
  • Revised 10 April 2019
Article part of CHORUS
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