1932
0
  1. Home
  2. A-Z Publications
  3. Annual Review of Condensed Matter Physics
  4. Volume 13, 2022
  5. Article

Annual Review of Condensed Matter Physics

Volume 13, 2022

Topological Magnons: A Review

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.

Keyword(s): quantum magnetism, spin waves, spintronics, topological matter
Loading

Article metrics loading...

/content/journals/10.1146/annurev-conmatphys-031620-104715
2022-03-10
2024-05-16
Loading full text...

Full text loading...

/deliver/fulltext/conmatphys/13/1/annurev-conmatphys-031620-104715.html?itemId=/content/journals/10.1146/annurev-conmatphys-031620-104715&mimeType=html&fmt=ahah

Literature Cited

  1. 1. 
    Haldane FDM. 1988. Phys. Rev. Lett. 61:182015–18
  2. 2. 
    Hasan MZ, Kane CL. 2010. Rev. Mod. Phys. 82:43045–67
  3. 3. 
    Bernevig B, Hughes T. 2013. Topological Insulators and Topological Superconductors Princeton, NJ: Princeton Univ. Press
  4. 4. 
    Yan B, Felser C. 2017. Annu. Rev. Condens. Matter Phys. 8:337–54
  5. 5. 
    Armitage NP, Mele EJ, Vishwanath A. 2018. Rev. Mod. Phys. 90:015001
  6. 6. 
    Burkov A. 2018. Annu. Rev. Condens. Matter Phys. 9:359–78
  7. 7. 
    Chiu CK, Teo JCY, Schnyder AP, Ryu S. 2016. Rev. Mod. Phys. 88:3035005
  8. 8. 
    Ozawa T, Price HM, Amo A, Goldman N, Hafezi M et al. 2019. Rev. Mod. Phys. 91:015006
  9. 9. 
    Mao X, Lubensky TC. 2018. Annu. Rev. Condens. Matter Phys. 9:413–33
  10. 10. 
    Sato TJ, Matan K. 2019. J. Phys. Soc. Jpn. 88:8081007
  11. 11. 
    Malki M, Uhrig G. 2020. Europhys. Lett. 132:220003
  12. 12. 
    Li ZX, Cao Y, Yan P. 2021. Phys. Rep. 915:1–64
  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
  15. 15. 
    Holstein T, Primakoff H. 1940. Phys. Rev. 58:121098–113
  16. 16. 
    Herring C, Kittel C. 1951. Phys. Rev. 81:5869–80
  17. 17. 
    Dyson FJ. 1956. Phys. Rev. 102:51217–30
  18. 18. 
    Burch KS, Mandrus D, Park JG. 2018. Nature 563:772947–52
  19. 19. 
    Gibertini M, Koperski M, Morpurgo AF, Novoselov KS. 2019. Nat. Nanotechnol. 14:5408–19
  20. 20. 
    Cai X, Song T, Wilson NP, Clark G, He M et al. 2019. Nano Lett. 19:63993–98
  21. 21. 
    Lu F, Lu YM. 2018. arXiv:1807.05232
  22. 22. 
    Owerre SA. 2016. J. Phys. Condens. Matter 28:38386001
  23. 23. 
    Zhang L, Ren J, Wang JS, Li B. 2013. Phys. Rev. B 87:14144101
  24. 24. 
    Mook A, Henk J, Mertig I. 2014. Phys. Rev. B 90:2024412
  25. 25. 
    Seshadri R, Sen D. 2018. Phys. Rev. B 97:13134411
  26. 26. 
    Laurell P, Fiete GA. 2018. Phys. Rev. B 98:9094419
  27. 27. 
    Laurell P, Fiete GA. 2017. Phys. Rev. Lett. 118:17177201
  28. 28. 
    Cao X, Chen K, He D 2015. J. Phys. Condens. Matter 27:16166003
  29. 29. 
    Lee KH, Chung SB, Park K, Park JG 2018. Phys. Rev. B 97:18180401
  30. 30. 
    Mook A, Plekhanov K, Klinovaja J, Loss D. 2021. Phys. Rev. X 11:021061
  31. 31. 
    Malki M, Uhrig GS. 2019. Phys. Rev. B 99:17174412
  32. 32. 
    Bhowmick D, Sengupta P. 2020. Phys. Rev. B 101:21214403
  33. 33. 
    Iacocca E, Heinonen O. 2017. Phys. Rev. Appl. 8:3034015
  34. 34. 
    Roldán-Molina A, Nunez AS, Fernández-Rossier J. 2016. New J. Phys. 18:4045015
  35. 35. 
    Díaz SA, Klinovaja J, Loss D. 2019. Phys. Rev. Lett. 122:18187203
  36. 36. 
    Díaz SA, Hirosawa T, Klinovaja J, Loss D. 2020. Phys. Rev. Res. 2:1013231
  37. 37. 
    Zhang H, Feng X, Heitmann T, Kolesnikov AI, Stone MB et al. 2020. Phys. Rev. B 101:10100405
  38. 38. 
    McClarty PA, Dong XY, Gohlke M, Rau JG, Pollmann F et al. 2018. Phys. Rev. B 98:6060404
  39. 39. 
    Joshi DG. 2018. Phys. Rev. B 98:6060405
  40. 40. 
    Shindou R, Matsumoto R, Murakami S, Ohe J-I 2013. Phys. Rev. B 87:17174427
  41. 41. 
    Shindou R, Ohe J-I, Matsumoto R, Murakami S, Saitoh E. 2013. Phys. Rev. B 87:17174402
  42. 42. 
    Wang XS, Su Y, Wang XR. 2017. Phys. Rev. B 95:1014435
  43. 43. 
    Kim KS, Lee KH, Chung SB, Park JG. 2019. Phys. Rev. B 100:6064412
  44. 44. 
    Romhányi J, Penc K, Ganesh R. 2015. Nat. Commun. 6:6805
  45. 45. 
    McClarty PA, Krüger F, Guidi T, Parker SF, Refson K et al. 2017. Nat. Phys. 13:736–41
  46. 46. 
    Malki M, Schmidt KP. 2017. Phys. Rev. B 95:19195137
  47. 47. 
    Romhányi J. 2019. Phys. Rev. B 99:1014408
  48. 48. 
    Anisimov PS, Aust F, Khaliullin G, Daghofer M. 2019. Phys. Rev. Lett. 122:17177201
  49. 49. 
    Nayga MM, Rachel S, Vojta M 2019. Phys. Rev. Lett. 123:20207204
  50. 50. 
    Nakata K, Klinovaja J, Loss D. 2017. Phys. Rev. B 95:12125429
  51. 51. 
    Nakata K, Kim SK, Klinovaja J, Loss D. 2017. Phys. Rev. B 96:22224414
  52. 52. 
    Fransson J, Black-Schaffer AM, Balatsky AV. 2016. Phys. Rev. B 94:7075401
  53. 53. 
    Boyko D, Balatsky AV, Haraldsen JT. 2018. Phys. Rev. B 97:1014433
  54. 54. 
    Boyko D, Saxena A, Haraldsen JT. 2020. Ann. Phys. 532:21900350
  55. 55. 
    Zhai X, Blanter YM. 2020. Phys. Rev. B 102:7075407
  56. 56. 
    Okuma N. 2017. Phys. Rev. Lett. 119:10107205
  57. 57. 
    Li K, Li C, Hu J, Li Y, Fang C. 2017. Phys. Rev. Lett. 119:24247202
  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
  60. 60. 
    Ferreiros Y, Vozmediano MAH. 2018. Phys. Rev. B 97:5054404
  61. 61. 
    Kumar PS, Herbut IF, Ganesh R. 2020. Phys. Rev. Res. 2:3033035
  62. 62. 
    Hwang K, Trivedi N, Randeria M. 2020. Phys. Rev. Lett. 125:4047203
  63. 63. 
    Mook A, Henk J, Mertig I. 2017. Phys. Rev. B 95:1014418
  64. 64. 
    Owerre SA. 2017. Sci. Rep. 7:6931
  65. 65. 
    Bao S, Wang J, Wang W, Cai Z, Li S et al. 2018. Nat. Commun. 9:2591
  66. 66. 
    Yao W, Li C, Wang L, Xue S, Dan Y et al. 2018. Nat. Phys. 14:101011–15
  67. 67. 
    Yuan B, Khait I, Shu GJ, Chou FC, Stone MB et al. 2020. Phys. Rev. X 10:1011062
  68. 68. 
    Elliot M, McClarty PA, Prabhakaran D, Johnson RD, Walker HC et al. 2021. Nat. Commun. 12:3936
  69. 69. 
    Liu J, Wang L, Shen K. 2020. Phys. Rev. Res. 2:2023282
  70. 70. 
    Li FY, Chen G. 2018. Phys. Rev. B 98:4045109
  71. 71. 
    Mook A, Henk J, Mertig I. 2016. Phys. Rev. Lett. 117:15157204
  72. 72. 
    Su Y, Wang XS, Wang XR. 2017. Phys. Rev. B 95:22224403
  73. 73. 
    Zhang LC, Onykiienko YA, Buhl PM, Tymoshenko YV, Čermák P et al. 2020. Phys. Rev. Res. 2:1013063
  74. 74. 
    Zyuzin VA, Kovalev AA. 2018. Phys. Rev. B 97:17174407
  75. 75. 
    Li FY, Li YD, Kim YB, Balents L, Yu Y, Chen G 2016. Nat. Commun. 7:12691
  76. 76. 
    Owerre SA. 2018. Phys. Rev. B 97:9094412
  77. 77. 
    Su Y, Wang XR. 2017. Phys. Rev. B 96:10104437
  78. 78. 
    Li KK, Hu JP. 2017. Chin. Phys. Lett. 34:7077501
  79. 79. 
    Jian SK, Nie W. 2018. Phys. Rev. B 97:11115162
  80. 80. 
    Bhowmick D, Sengupta P. 2021. Phys. Rev. B 104:8085121
  81. 81. 
    Xu QR, Flynn VP, Alase A, Cobanera E, Viola L, Ortiz G. 2020. Phys. Rev. B 102:12125127
  82. 82. 
    Kondo H, Akagi Y, Katsura H. 2019. Phys. Rev. B 99:4041110
  83. 83. 
    Kondo H, Akagi Y, Katsura H. 2019. Phys. Rev. B 100:14144401
  84. 84. 
    Kane CL, Mele EJ. 2005. Phys. Rev. Lett. 95:22226801
  85. 85. 
    Kane CL, Mele EJ. 2005. Phys. Rev. Lett. 95:14146802
  86. 86. 
    Joshi DG, Schnyder AP. 2019. Phys. Rev. B 100:2020407
  87. 87. 
    Thomasen A, Penc K, Shannon N, Romhányi J. 2021. Phys. Rev. B 104:104412
  88. 88. 
    Li B, Kovalev AA. 2018. Phys. Rev. B 97:17174413
  89. 89. 
    Choi W, Mizoguchi T, Kim YB. 2019. Phys. Rev. Lett. 123:22227202
  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
  92. 92. 
    Kondo H, Akagi Y, Katsura H. 2020. Prog. Theor. Exp. Phys. 2020:1212A104
  93. 93. 
    Zhitomirsky ME, Chernyshev AL. 2013. Rev. Mod. Phys. 85:1219–42
  94. 94. 
    Chernyshev AL, Maksimov PA. 2016. Phys. Rev. Lett. 117:18187203
  95. 95. 
    Bergholtz EJ, Budich JC, Kunst FK. 2021. Rev. Mod. Phys. 93:1015005
  96. 96. 
    McClarty PA, Rau JG. 2019. Phys. Rev. B 100:10100405
  97. 97. 
    Murakami S, Okamoto A. 2016. J. Phys. Soc. Jpn. 86:1011010
  98. 98. 
    Katsura H, Nagaosa N, Lee PA. 2010. Phys. Rev. Lett. 104:6066403
  99. 99. 
    Matsumoto R, Murakami S. 2011. Phys. Rev. Lett. 106:19197202
  100. 100. 
    Matsumoto R, Murakami S. 2011. Phys. Rev. B 84:18184406
  101. 101. 
    Dugaev VK, Bruno P, Canals B, Lacroix C. 2005. Phys. Rev. B 72:2024456
  102. 102. 
    Onose Y, Ideue T, Katsura H, Shiomi Y, Nagaosa N, Tokura Y. 2010. Science 329:5989297–99
  103. 103. 
    Ideue T, Onose Y, Katsura H, Shiomi Y, Ishiwata S et al. 2012. Phys. Rev. B 85:13134411
  104. 104. 
    Hirschberger M, Chisnell R, Lee YS, Ong NP. 2015. Phys. Rev. Lett. 115:10106603
  105. 105. 
    Kasahara Y, Sugii K, Ohnishi T, Shimozawa M, Yamashita M et al. 2018. Phys. Rev. Lett. 120:217205
  106. 106. 
    Kasahara Y, Ohnishi T, Mizukami Y, Tanaka O, Ma S et al. 2018. Nature 559:7713227–31
  107. 107. 
    Hentrich R, Roslova M, Isaeva A, Doert T, Brenig W et al. 2019. Phys. Rev. B 99:8085136
  108. 108. 
    Matsumoto R, Shindou R, Murakami S. 2014. Phys. Rev. B 89:5054420
  109. 109. 
    Mook A, Henk J, Mertig I. 2014. Phys. Rev. B 89:13134409
  110. 110. 
    Mook A, Henk J, Mertig I. 2016. Phys. Rev. B 94:17174444
  111. 111. 
    Owerre SA. 2016. J. Appl. Phys. 120:4043903
  112. 112. 
    Owerre SA. 2017. Phys. Rev. B 95:1014422
  113. 113. 
    Cookmeyer J, Moore JE. 2018. Phys. Rev. B 98:6060412
  114. 114. 
    Mook A, Henk J, Mertig I. 2019. Phys. Rev. B 99:1014427
  115. 115. 
    Kawano M, Hotta C. 2019. Phys. Rev. B 99:5054422
  116. 116. 
    Kovalev AA, Zyuzin V. 2016. Phys. Rev. B 93:16161106
  117. 117. 
    Fujimoto S. 2009. Phys. Rev. Lett. 103:4047203
  118. 118. 
    Cheng R, Okamoto S, Xiao D 2016. Phys. Rev. Lett. 117:21217202
  119. 119. 
    Zyuzin VA, Kovalev AA. 2016. Phys. Rev. Lett. 117:21217203
  120. 120. 
    Shiomi Y, Takashima R, Saitoh E. 2017. Phys. Rev. B 96:13134425
  121. 121. 
    Damon RW, Eshbach J. 1961. J. Phys. Chem. Solids 19:3–4308–20
  122. 122. 
    Eshbach JR, Damon RW. 1960. Phys. Rev. 118:51208–10
  123. 123. 
    Mohseni M, Verba R, Brächer T, Wang Q, Bozhko DA et al. 2019. Phys. Rev. Lett. 122:19197201
  124. 124. 
    Yamamoto K, Thiang GC, Pirro P, Kim KW, Everschor-Sitte K, Saitoh E. 2019. Phys. Rev. Lett. 122:21217201
  125. 125. 
    Grünberg P, Metawe F. 1977. Phys. Rev. Lett. 39:241561–65
  126. 126. 
    Zhang P, Pang Y, Zinn W. 1986. Solid State Commun. 60:5449–52
  127. 127. 
    Malz D, Knolle J, Nunnenkamp A. 2019. Nat. Commun. 10:3937
  128. 128. 
    Feldmeier J, Natori W, Knap M, Knolle J. 2020. Phys. Rev. B 102:13134423
  129. 129. 
    Mook A, Henk J, Mertig I. 2015. Phys. Rev. B 91:17174409
  130. 130. 
    Wang XS, Zhang HW, Wang XR. 2018. Phys. Rev. Appl. 9:2024029
  131. 131. 
    Rückriegel A, Brataas A, Duine RA. 2018. Phys. Rev. B 97:8081106
  132. 132. 
    Chisnell R, Helton JS, Freedman DE, Singh DK, Bewley RI et al. 2015. Phys. Rev. Lett. 115:14147201
  133. 133. 
    Chisnell R, Helton JS, Freedman DE, Singh DK, Demmel F et al. 2016. Phys. Rev. B 93:21214403
  134. 134. 
    Gaulin BD, Lee SH, Haravifard S, Castellan JP, Berlinsky AJ et al. 2004. Phys. Rev. Lett. 93:26267202
  135. 135. 
    Cairns LP, Reid JP, Perry R, Prabhakaran D, Huxley A. 2020. JPS Conf. Proc. 30:011089
  136. 136. 
    Zayed ME, Rüegg C, Strässle T, Stuhr U, Roessli B et al. 2014. Phys. Rev. Lett. 113:6067201
  137. 137. 
    Nawa K, Tanaka K, Kurita N, Sato TJ, Sugiyama H et al. 2019. Nat. Commun. 10:2096
  138. 138. 
    Su WP, Schrieffer JR, Heeger AJ. 1979. Phys. Rev. Lett. 42:251698–701
  139. 139. 
    Chen L, Chung JH, Gao B, Chen T, Stone MB et al. 2018. Phys. Rev. X 8:4041028
  140. 140. 
    Mena M, Perry RS, Perring TG, Le MD, Guerrero S et al. 2014. Phys. Rev. Lett. 113:4047202
  141. 141. 
    Pirmoradian F, Zare Rameshti B, Miri M, Saeidian S 2018. Phys. Rev. B 98:22224409
  142. 142. 
    Qin X, Mei F, Ke Y, Zhang L, Lee C. 2017. Phys. Rev. B 96:19195134
  143. 143. 
    Qin X, Mei F, Ke Y, Zhang L, Lee C. 2018. New J. Phys. 20:1013003
  144. 144. 
    Park S, Yang BJ. 2019. Phys. Rev. B 99:17174435
  145. 145. 
    Thingstad E, Kamra A, Brataas A, Sudbø A. 2019. Phys. Rev. Lett. 122:10107201
  146. 146. 
    Park MJ, Lee S, Kim YB. 2021. Phys. Rev. B 104:060401
  147. 147. 
    Mook A, Daz SA, Klinovaja J, Loss D. 2021. Phys. Rev. B 104:2024406
  148. 148. 
    Owerre SA. 2017. J. Phys. Commun. 1:2021002
  149. 149. 
    Nakata K, Kim SK, Takayoshi S. 2019. Phys. Rev. B 100:1014421
  150. 150. 
    Kovalev AA, Zyuzin VA, Li B. 2017. Phys. Rev. B 95:16165106
/content/journals/10.1146/annurev-conmatphys-031620-104715
Loading
Topological Magnons: A Review
Annual Review of Condensed Matter Physics 13, 171 (2022); https://doi.org/10.1146/annurev-conmatphys-031620-104715
/content/journals/10.1146/annurev-conmatphys-031620-104715
/content/journals/10.1146/annurev-conmatphys-031620-104715
Loading

Data & Media loading...

  • Article Type: Review Article

Most Cited Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error