1932

Abstract

At sufficiently low temperatures, magnetic materials often enter correlated phases hosting collective, coherent magnetic excitations such as magnons or triplons. Drawing on the enormous progress on topological materials of the past few years, recent research has led to new insights into the geometry and topology of these magnetic excitations. Berry phases associated with magnetic dynamics can lead to observable consequences in heat and spin transport, whereas analogs of topological insulators and semimetals can arise within magnon band structures from natural magnetic couplings. Magnetic excitations offer a platform to explore the interplay of magnetic symmetries and topology, drive topological transitions using magnetic fields, examine the effects of interactions on topological bands, and generate topologically protected spin currents at interfaces. In this review, we survey progress on all these topics, highlighting aspects of topological matter that are unique to magnon systems and the avenues yet to be fully investigated.

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2022-03-10
2024-06-13
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Literature Cited

  1. 1. 
    Haldane FDM. 1988. Phys. Rev. Lett. 61:182015–18
    [Google Scholar]
  2. 2. 
    Hasan MZ, Kane CL. 2010. Rev. Mod. Phys. 82:43045–67
    [Google Scholar]
  3. 3. 
    Bernevig B, Hughes T. 2013. Topological Insulators and Topological Superconductors Princeton, NJ: Princeton Univ. Press
    [Google Scholar]
  4. 4. 
    Yan B, Felser C. 2017. Annu. Rev. Condens. Matter Phys. 8:337–54
    [Google Scholar]
  5. 5. 
    Armitage NP, Mele EJ, Vishwanath A. 2018. Rev. Mod. Phys. 90:015001
    [Google Scholar]
  6. 6. 
    Burkov A. 2018. Annu. Rev. Condens. Matter Phys. 9:359–78
    [Google Scholar]
  7. 7. 
    Chiu CK, Teo JCY, Schnyder AP, Ryu S. 2016. Rev. Mod. Phys. 88:3035005
    [Google Scholar]
  8. 8. 
    Ozawa T, Price HM, Amo A, Goldman N, Hafezi M et al. 2019. Rev. Mod. Phys. 91:015006
    [Google Scholar]
  9. 9. 
    Mao X, Lubensky TC. 2018. Annu. Rev. Condens. Matter Phys. 9:413–33
    [Google Scholar]
  10. 10. 
    Sato TJ, Matan K. 2019. J. Phys. Soc. Jpn. 88:8081007
    [Google Scholar]
  11. 11. 
    Malki M, Uhrig G. 2020. Europhys. Lett. 132:220003
    [Google Scholar]
  12. 12. 
    Li ZX, Cao Y, Yan P. 2021. Phys. Rep. 915:1–64
    [Google Scholar]
  13. 13. 
    Bonbien V, Zhuo F, Salimath A, Ly O, Abbout A, Manchon A. 2021. arXiv:2102.01632
  14. 14. 
    Bloch F. 1930. Z. Phys. 61:3–4206–19
    [Google Scholar]
  15. 15. 
    Holstein T, Primakoff H. 1940. Phys. Rev. 58:121098–113
    [Google Scholar]
  16. 16. 
    Herring C, Kittel C. 1951. Phys. Rev. 81:5869–80
    [Google Scholar]
  17. 17. 
    Dyson FJ. 1956. Phys. Rev. 102:51217–30
    [Google Scholar]
  18. 18. 
    Burch KS, Mandrus D, Park JG. 2018. Nature 563:772947–52
    [Google Scholar]
  19. 19. 
    Gibertini M, Koperski M, Morpurgo AF, Novoselov KS. 2019. Nat. Nanotechnol. 14:5408–19
    [Google Scholar]
  20. 20. 
    Cai X, Song T, Wilson NP, Clark G, He M et al. 2019. Nano Lett. 19:63993–98
    [Google Scholar]
  21. 21. 
    Lu F, Lu YM. 2018. arXiv:1807.05232
  22. 22. 
    Owerre SA. 2016. J. Phys. Condens. Matter 28:38386001
    [Google Scholar]
  23. 23. 
    Zhang L, Ren J, Wang JS, Li B. 2013. Phys. Rev. B 87:14144101
    [Google Scholar]
  24. 24. 
    Mook A, Henk J, Mertig I. 2014. Phys. Rev. B 90:2024412
    [Google Scholar]
  25. 25. 
    Seshadri R, Sen D. 2018. Phys. Rev. B 97:13134411
    [Google Scholar]
  26. 26. 
    Laurell P, Fiete GA. 2018. Phys. Rev. B 98:9094419
    [Google Scholar]
  27. 27. 
    Laurell P, Fiete GA. 2017. Phys. Rev. Lett. 118:17177201
    [Google Scholar]
  28. 28. 
    Cao X, Chen K, He D 2015. J. Phys. Condens. Matter 27:16166003
    [Google Scholar]
  29. 29. 
    Lee KH, Chung SB, Park K, Park JG 2018. Phys. Rev. B 97:18180401
    [Google Scholar]
  30. 30. 
    Mook A, Plekhanov K, Klinovaja J, Loss D. 2021. Phys. Rev. X 11:021061
    [Google Scholar]
  31. 31. 
    Malki M, Uhrig GS. 2019. Phys. Rev. B 99:17174412
    [Google Scholar]
  32. 32. 
    Bhowmick D, Sengupta P. 2020. Phys. Rev. B 101:21214403
    [Google Scholar]
  33. 33. 
    Iacocca E, Heinonen O. 2017. Phys. Rev. Appl. 8:3034015
    [Google Scholar]
  34. 34. 
    Roldán-Molina A, Nunez AS, Fernández-Rossier J. 2016. New J. Phys. 18:4045015
    [Google Scholar]
  35. 35. 
    Díaz SA, Klinovaja J, Loss D. 2019. Phys. Rev. Lett. 122:18187203
    [Google Scholar]
  36. 36. 
    Díaz SA, Hirosawa T, Klinovaja J, Loss D. 2020. Phys. Rev. Res. 2:1013231
    [Google Scholar]
  37. 37. 
    Zhang H, Feng X, Heitmann T, Kolesnikov AI, Stone MB et al. 2020. Phys. Rev. B 101:10100405
    [Google Scholar]
  38. 38. 
    McClarty PA, Dong XY, Gohlke M, Rau JG, Pollmann F et al. 2018. Phys. Rev. B 98:6060404
    [Google Scholar]
  39. 39. 
    Joshi DG. 2018. Phys. Rev. B 98:6060405
    [Google Scholar]
  40. 40. 
    Shindou R, Matsumoto R, Murakami S, Ohe J-I 2013. Phys. Rev. B 87:17174427
    [Google Scholar]
  41. 41. 
    Shindou R, Ohe J-I, Matsumoto R, Murakami S, Saitoh E. 2013. Phys. Rev. B 87:17174402
    [Google Scholar]
  42. 42. 
    Wang XS, Su Y, Wang XR. 2017. Phys. Rev. B 95:1014435
    [Google Scholar]
  43. 43. 
    Kim KS, Lee KH, Chung SB, Park JG. 2019. Phys. Rev. B 100:6064412
    [Google Scholar]
  44. 44. 
    Romhányi J, Penc K, Ganesh R. 2015. Nat. Commun. 6:6805
    [Google Scholar]
  45. 45. 
    McClarty PA, Krüger F, Guidi T, Parker SF, Refson K et al. 2017. Nat. Phys. 13:736–41
    [Google Scholar]
  46. 46. 
    Malki M, Schmidt KP. 2017. Phys. Rev. B 95:19195137
    [Google Scholar]
  47. 47. 
    Romhányi J. 2019. Phys. Rev. B 99:1014408
    [Google Scholar]
  48. 48. 
    Anisimov PS, Aust F, Khaliullin G, Daghofer M. 2019. Phys. Rev. Lett. 122:17177201
    [Google Scholar]
  49. 49. 
    Nayga MM, Rachel S, Vojta M 2019. Phys. Rev. Lett. 123:20207204
    [Google Scholar]
  50. 50. 
    Nakata K, Klinovaja J, Loss D. 2017. Phys. Rev. B 95:12125429
    [Google Scholar]
  51. 51. 
    Nakata K, Kim SK, Klinovaja J, Loss D. 2017. Phys. Rev. B 96:22224414
    [Google Scholar]
  52. 52. 
    Fransson J, Black-Schaffer AM, Balatsky AV. 2016. Phys. Rev. B 94:7075401
    [Google Scholar]
  53. 53. 
    Boyko D, Balatsky AV, Haraldsen JT. 2018. Phys. Rev. B 97:1014433
    [Google Scholar]
  54. 54. 
    Boyko D, Saxena A, Haraldsen JT. 2020. Ann. Phys. 532:21900350
    [Google Scholar]
  55. 55. 
    Zhai X, Blanter YM. 2020. Phys. Rev. B 102:7075407
    [Google Scholar]
  56. 56. 
    Okuma N. 2017. Phys. Rev. Lett. 119:10107205
    [Google Scholar]
  57. 57. 
    Li K, Li C, Hu J, Li Y, Fang C. 2017. Phys. Rev. Lett. 119:24247202
    [Google Scholar]
  58. 58. 
    Shivam S, Coldea R, Moessner R, McClarty P. 2017. arXiv:1712.08535
  59. 59. 
    Pershoguba SS, Banerjee S, Lashley JC, Park J, Ågren H et al. 2018. Phys. Rev. X 8:1011010
    [Google Scholar]
  60. 60. 
    Ferreiros Y, Vozmediano MAH. 2018. Phys. Rev. B 97:5054404
    [Google Scholar]
  61. 61. 
    Kumar PS, Herbut IF, Ganesh R. 2020. Phys. Rev. Res. 2:3033035
    [Google Scholar]
  62. 62. 
    Hwang K, Trivedi N, Randeria M. 2020. Phys. Rev. Lett. 125:4047203
    [Google Scholar]
  63. 63. 
    Mook A, Henk J, Mertig I. 2017. Phys. Rev. B 95:1014418
    [Google Scholar]
  64. 64. 
    Owerre SA. 2017. Sci. Rep. 7:6931
    [Google Scholar]
  65. 65. 
    Bao S, Wang J, Wang W, Cai Z, Li S et al. 2018. Nat. Commun. 9:2591
    [Google Scholar]
  66. 66. 
    Yao W, Li C, Wang L, Xue S, Dan Y et al. 2018. Nat. Phys. 14:101011–15
    [Google Scholar]
  67. 67. 
    Yuan B, Khait I, Shu GJ, Chou FC, Stone MB et al. 2020. Phys. Rev. X 10:1011062
    [Google Scholar]
  68. 68. 
    Elliot M, McClarty PA, Prabhakaran D, Johnson RD, Walker HC et al. 2021. Nat. Commun. 12:3936
    [Google Scholar]
  69. 69. 
    Liu J, Wang L, Shen K. 2020. Phys. Rev. Res. 2:2023282
    [Google Scholar]
  70. 70. 
    Li FY, Chen G. 2018. Phys. Rev. B 98:4045109
    [Google Scholar]
  71. 71. 
    Mook A, Henk J, Mertig I. 2016. Phys. Rev. Lett. 117:15157204
    [Google Scholar]
  72. 72. 
    Su Y, Wang XS, Wang XR. 2017. Phys. Rev. B 95:22224403
    [Google Scholar]
  73. 73. 
    Zhang LC, Onykiienko YA, Buhl PM, Tymoshenko YV, Čermák P et al. 2020. Phys. Rev. Res. 2:1013063
    [Google Scholar]
  74. 74. 
    Zyuzin VA, Kovalev AA. 2018. Phys. Rev. B 97:17174407
    [Google Scholar]
  75. 75. 
    Li FY, Li YD, Kim YB, Balents L, Yu Y, Chen G 2016. Nat. Commun. 7:12691
    [Google Scholar]
  76. 76. 
    Owerre SA. 2018. Phys. Rev. B 97:9094412
    [Google Scholar]
  77. 77. 
    Su Y, Wang XR. 2017. Phys. Rev. B 96:10104437
    [Google Scholar]
  78. 78. 
    Li KK, Hu JP. 2017. Chin. Phys. Lett. 34:7077501
    [Google Scholar]
  79. 79. 
    Jian SK, Nie W. 2018. Phys. Rev. B 97:11115162
    [Google Scholar]
  80. 80. 
    Bhowmick D, Sengupta P. 2021. Phys. Rev. B 104:8085121
    [Google Scholar]
  81. 81. 
    Xu QR, Flynn VP, Alase A, Cobanera E, Viola L, Ortiz G. 2020. Phys. Rev. B 102:12125127
    [Google Scholar]
  82. 82. 
    Kondo H, Akagi Y, Katsura H. 2019. Phys. Rev. B 99:4041110
    [Google Scholar]
  83. 83. 
    Kondo H, Akagi Y, Katsura H. 2019. Phys. Rev. B 100:14144401
    [Google Scholar]
  84. 84. 
    Kane CL, Mele EJ. 2005. Phys. Rev. Lett. 95:22226801
    [Google Scholar]
  85. 85. 
    Kane CL, Mele EJ. 2005. Phys. Rev. Lett. 95:14146802
    [Google Scholar]
  86. 86. 
    Joshi DG, Schnyder AP. 2019. Phys. Rev. B 100:2020407
    [Google Scholar]
  87. 87. 
    Thomasen A, Penc K, Shannon N, Romhányi J. 2021. Phys. Rev. B 104:104412
    [Google Scholar]
  88. 88. 
    Li B, Kovalev AA. 2018. Phys. Rev. B 97:17174413
    [Google Scholar]
  89. 89. 
    Choi W, Mizoguchi T, Kim YB. 2019. Phys. Rev. Lett. 123:22227202
    [Google Scholar]
  90. 90. 
    Corticelli A, Moessner R, McClarty PA. 2021. arXiv:2103.05656
  91. 91. 
    Colpa J. 1978. Phys. A: Stat. Mech. Appl. 93:3327–53
    [Google Scholar]
  92. 92. 
    Kondo H, Akagi Y, Katsura H. 2020. Prog. Theor. Exp. Phys. 2020:1212A104
    [Google Scholar]
  93. 93. 
    Zhitomirsky ME, Chernyshev AL. 2013. Rev. Mod. Phys. 85:1219–42
    [Google Scholar]
  94. 94. 
    Chernyshev AL, Maksimov PA. 2016. Phys. Rev. Lett. 117:18187203
    [Google Scholar]
  95. 95. 
    Bergholtz EJ, Budich JC, Kunst FK. 2021. Rev. Mod. Phys. 93:1015005
    [Google Scholar]
  96. 96. 
    McClarty PA, Rau JG. 2019. Phys. Rev. B 100:10100405
    [Google Scholar]
  97. 97. 
    Murakami S, Okamoto A. 2016. J. Phys. Soc. Jpn. 86:1011010
    [Google Scholar]
  98. 98. 
    Katsura H, Nagaosa N, Lee PA. 2010. Phys. Rev. Lett. 104:6066403
    [Google Scholar]
  99. 99. 
    Matsumoto R, Murakami S. 2011. Phys. Rev. Lett. 106:19197202
    [Google Scholar]
  100. 100. 
    Matsumoto R, Murakami S. 2011. Phys. Rev. B 84:18184406
    [Google Scholar]
  101. 101. 
    Dugaev VK, Bruno P, Canals B, Lacroix C. 2005. Phys. Rev. B 72:2024456
    [Google Scholar]
  102. 102. 
    Onose Y, Ideue T, Katsura H, Shiomi Y, Nagaosa N, Tokura Y. 2010. Science 329:5989297–99
    [Google Scholar]
  103. 103. 
    Ideue T, Onose Y, Katsura H, Shiomi Y, Ishiwata S et al. 2012. Phys. Rev. B 85:13134411
    [Google Scholar]
  104. 104. 
    Hirschberger M, Chisnell R, Lee YS, Ong NP. 2015. Phys. Rev. Lett. 115:10106603
    [Google Scholar]
  105. 105. 
    Kasahara Y, Sugii K, Ohnishi T, Shimozawa M, Yamashita M et al. 2018. Phys. Rev. Lett. 120:217205
    [Google Scholar]
  106. 106. 
    Kasahara Y, Ohnishi T, Mizukami Y, Tanaka O, Ma S et al. 2018. Nature 559:7713227–31
    [Google Scholar]
  107. 107. 
    Hentrich R, Roslova M, Isaeva A, Doert T, Brenig W et al. 2019. Phys. Rev. B 99:8085136
    [Google Scholar]
  108. 108. 
    Matsumoto R, Shindou R, Murakami S. 2014. Phys. Rev. B 89:5054420
    [Google Scholar]
  109. 109. 
    Mook A, Henk J, Mertig I. 2014. Phys. Rev. B 89:13134409
    [Google Scholar]
  110. 110. 
    Mook A, Henk J, Mertig I. 2016. Phys. Rev. B 94:17174444
    [Google Scholar]
  111. 111. 
    Owerre SA. 2016. J. Appl. Phys. 120:4043903
    [Google Scholar]
  112. 112. 
    Owerre SA. 2017. Phys. Rev. B 95:1014422
    [Google Scholar]
  113. 113. 
    Cookmeyer J, Moore JE. 2018. Phys. Rev. B 98:6060412
    [Google Scholar]
  114. 114. 
    Mook A, Henk J, Mertig I. 2019. Phys. Rev. B 99:1014427
    [Google Scholar]
  115. 115. 
    Kawano M, Hotta C. 2019. Phys. Rev. B 99:5054422
    [Google Scholar]
  116. 116. 
    Kovalev AA, Zyuzin V. 2016. Phys. Rev. B 93:16161106
    [Google Scholar]
  117. 117. 
    Fujimoto S. 2009. Phys. Rev. Lett. 103:4047203
    [Google Scholar]
  118. 118. 
    Cheng R, Okamoto S, Xiao D 2016. Phys. Rev. Lett. 117:21217202
    [Google Scholar]
  119. 119. 
    Zyuzin VA, Kovalev AA. 2016. Phys. Rev. Lett. 117:21217203
    [Google Scholar]
  120. 120. 
    Shiomi Y, Takashima R, Saitoh E. 2017. Phys. Rev. B 96:13134425
    [Google Scholar]
  121. 121. 
    Damon RW, Eshbach J. 1961. J. Phys. Chem. Solids 19:3–4308–20
    [Google Scholar]
  122. 122. 
    Eshbach JR, Damon RW. 1960. Phys. Rev. 118:51208–10
    [Google Scholar]
  123. 123. 
    Mohseni M, Verba R, Brächer T, Wang Q, Bozhko DA et al. 2019. Phys. Rev. Lett. 122:19197201
    [Google Scholar]
  124. 124. 
    Yamamoto K, Thiang GC, Pirro P, Kim KW, Everschor-Sitte K, Saitoh E. 2019. Phys. Rev. Lett. 122:21217201
    [Google Scholar]
  125. 125. 
    Grünberg P, Metawe F. 1977. Phys. Rev. Lett. 39:241561–65
    [Google Scholar]
  126. 126. 
    Zhang P, Pang Y, Zinn W. 1986. Solid State Commun. 60:5449–52
    [Google Scholar]
  127. 127. 
    Malz D, Knolle J, Nunnenkamp A. 2019. Nat. Commun. 10:3937
    [Google Scholar]
  128. 128. 
    Feldmeier J, Natori W, Knap M, Knolle J. 2020. Phys. Rev. B 102:13134423
    [Google Scholar]
  129. 129. 
    Mook A, Henk J, Mertig I. 2015. Phys. Rev. B 91:17174409
    [Google Scholar]
  130. 130. 
    Wang XS, Zhang HW, Wang XR. 2018. Phys. Rev. Appl. 9:2024029
    [Google Scholar]
  131. 131. 
    Rückriegel A, Brataas A, Duine RA. 2018. Phys. Rev. B 97:8081106
    [Google Scholar]
  132. 132. 
    Chisnell R, Helton JS, Freedman DE, Singh DK, Bewley RI et al. 2015. Phys. Rev. Lett. 115:14147201
    [Google Scholar]
  133. 133. 
    Chisnell R, Helton JS, Freedman DE, Singh DK, Demmel F et al. 2016. Phys. Rev. B 93:21214403
    [Google Scholar]
  134. 134. 
    Gaulin BD, Lee SH, Haravifard S, Castellan JP, Berlinsky AJ et al. 2004. Phys. Rev. Lett. 93:26267202
    [Google Scholar]
  135. 135. 
    Cairns LP, Reid JP, Perry R, Prabhakaran D, Huxley A. 2020. JPS Conf. Proc. 30:011089
    [Google Scholar]
  136. 136. 
    Zayed ME, Rüegg C, Strässle T, Stuhr U, Roessli B et al. 2014. Phys. Rev. Lett. 113:6067201
    [Google Scholar]
  137. 137. 
    Nawa K, Tanaka K, Kurita N, Sato TJ, Sugiyama H et al. 2019. Nat. Commun. 10:2096
    [Google Scholar]
  138. 138. 
    Su WP, Schrieffer JR, Heeger AJ. 1979. Phys. Rev. Lett. 42:251698–701
    [Google Scholar]
  139. 139. 
    Chen L, Chung JH, Gao B, Chen T, Stone MB et al. 2018. Phys. Rev. X 8:4041028
    [Google Scholar]
  140. 140. 
    Mena M, Perry RS, Perring TG, Le MD, Guerrero S et al. 2014. Phys. Rev. Lett. 113:4047202
    [Google Scholar]
  141. 141. 
    Pirmoradian F, Zare Rameshti B, Miri M, Saeidian S 2018. Phys. Rev. B 98:22224409
    [Google Scholar]
  142. 142. 
    Qin X, Mei F, Ke Y, Zhang L, Lee C. 2017. Phys. Rev. B 96:19195134
    [Google Scholar]
  143. 143. 
    Qin X, Mei F, Ke Y, Zhang L, Lee C. 2018. New J. Phys. 20:1013003
    [Google Scholar]
  144. 144. 
    Park S, Yang BJ. 2019. Phys. Rev. B 99:17174435
    [Google Scholar]
  145. 145. 
    Thingstad E, Kamra A, Brataas A, Sudbø A. 2019. Phys. Rev. Lett. 122:10107201
    [Google Scholar]
  146. 146. 
    Park MJ, Lee S, Kim YB. 2021. Phys. Rev. B 104:060401
    [Google Scholar]
  147. 147. 
    Mook A, Daz SA, Klinovaja J, Loss D. 2021. Phys. Rev. B 104:2024406
    [Google Scholar]
  148. 148. 
    Owerre SA. 2017. J. Phys. Commun. 1:2021002
    [Google Scholar]
  149. 149. 
    Nakata K, Kim SK, Takayoshi S. 2019. Phys. Rev. B 100:1014421
    [Google Scholar]
  150. 150. 
    Kovalev AA, Zyuzin VA, Li B. 2017. Phys. Rev. B 95:16165106
    [Google Scholar]
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