Full text loading...
Review Article
Free
Frustrated Quantum Rare-Earth Pyrochlores
- Jeffrey G. Rau1, and Michel J.P. Gingras2,3
-
View Affiliations Hide AffiliationsAffiliations: 1Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany; email: [email protected] 2Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada; email: [email protected] 3Canadian Institute for Advanced Research, MaRS Centre, Toronto, Ontario M5G 1M1, Canada
- Vol. 10:357-386 (Volume publication date March 2019) https://doi.org/10.1146/annurev-conmatphys-022317-110520
- First published as a Review in Advance on December 14, 2018
-
Copyright © 2019 by Annual Reviews. All rights reserved
Abstract
In this review, we provide an introduction to the physics of a series of frustrated quantum rare-earth pyrochlores. We first give a background on the microscopic single- and two-ion physics of these materials, discussing the origins and properties of their exchange interactions and their minimal low-energy effective models before outlining what is known about their classical and quantum phases. We then make use of this understanding to discuss four important material examples, Er2Ti2O7, Yb2Ti2O7, Tb2Ti2O7, and Pr2Zr2O7, covering in some detail what is known experimentally and theoretically for each and then summarizing some key questions that remain open. Finally, we offer an outlook on some alternative material platforms for realizing similar physics and discuss what we see as prospects for future investigations on these quantum rare-earth pyrochlores.
Article metrics loading...
Literature Cited
-
1. Ramirez AP 2001. Handb. Magn. Mater. 13:423–520
-
2. Lacroix C, Mendels P, Mila F 2013. Introduction to Frustrated Magnetism: Materials, Experiments, Theory Heidelberg: Springer
-
3. Savary L, Balents L 2016. Rep. Progress Phys. 80:016502
-
4. Wen X-G 2004. Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons Oxford, UK: Oxford Univ. Press
-
5. Rau JG, Lee EK-H, Kee HY 2016. Annu. Rev. Condens. Matter Phys. 7:195–221
-
6. Winter SM, Tsirlin AA, Daghofer M, van den Brink J, Singh Y et al. 2017. J. Phys. Condens. Matter 29:493002
-
7. Kitaev A 2006. Ann. Phys. 321:2–111
-
8. Gardner JS, Gingras MJP, Greedan JE 2010. Rev. Mod. Phys. 82:53–107
-
9. Rau JG, Gingras MJP 2015. Phys. Rev. B 92:144417
-
10. Gingras MJP 2013. See Reference 2 293–329
-
11. Canals B, Lacroix C 1998. Phys. Rev. Lett. 80:2933–36
-
12. Wybourne BG 1965. Spectroscopic Properties of Rare Earths New York: Interscience Publ.
-
13. Newman DJ, Ng B 2007. Crystal Field Handbook Cambridge, UK: Cambridge Univ. Press
-
14. Stevens K 1952. Proc. Phys. Soc. Sect. A 65:209
-
15. Bradley C, Cracknell A 2010. The Mathematical Theory of Symmetry in Solids: Representation Theory for Point Groups and Space Groups Oxford, UK: Oxford Univ. Press
-
16. Huang YP, Chen G, Hermele M 2014. Phys. Rev. Lett. 112:167203
-
17. Lee S, Onoda S, Balents L 2012. Phys. Rev. B 86:104412
-
18. Ross KA, Savary L, Gaulin BD, Balents L 2011. Phys. Rev. X 1:021002
-
19. Onoda S, Tanaka Y 2011. Phys. Rev. B 83:094411
-
20. Iwahara N, Chibotaru LF 2015. Phys. Rev. B 91:174438
-
21. Rau JG, Petit S, Gingras MJP 2016. Phys. Rev. B 93:184408
-
22. Jensen J, Mackintosh AR 1991. Rare Earth Magnetism Oxford, UK: Clarendon
-
23. Curnoe SH 2007. Phys. Rev. B 75:212404
-
24. Yan H, Benton O, Jaubert L, Shannon N 2017. Phys. Rev. B 95:094422
-
25. Rau JG, Gingras MJP 2018. Phys. Rev. B 98:054408
-
26. Molavian HR, Gingras MJP, Canals B 2007. Phys. Rev. Lett. 98:157204
-
27. Molavian HR, McClarty PA, Gingras MJP 2009. arXiv:0912.2957 [cond-mat.stat-mech]
-
28. Savary L, Ross KA, Gaulin BD, Ruff JPC, Balents L 2012. Phys. Rev. Lett. 109:167201
-
29. Zhitomirsky ME, Gvozdikova MV, Holdsworth PCW, Moessner R 2012. Phys. Rev. Lett. 109:077204
-
30. Wong AWC, Hao Z, Gingras MJP 2013. Phys. Rev. B 88:144402
-
31. Gingras MJP, McClarty PA 2014. Rep. Prog. Phys. 77:056501
-
32. Hermele M, Fisher MPA, Balents L 2004. Phys. Rev. B 69:064404
-
33. Savary L, Balents L 2012. Phys. Rev. Lett. 108:037202
-
34. McClarty PA, Sikora O, Moessner R, Penc K, Pollmann F, Shannon N 2015. Phys. Rev. B 92:094418
-
35. Moessner R, Chalker JT 1998. Phys. Rev. Lett. 80:2929–32
-
36. Henley CL 2006. Phys. Rev. Lett. 96:047201
-
37. Burnell FJ, Chakravarty S, Sondhi SL 2009. Phys. Rev. B 79:144432
-
38. Benton O, Jaubert LD, Yan H, Shannon N 2016. Nat. Commun. 7:11572
-
39. Champion JDM, Harris MJ, Holdsworth PCW, Wills AS, Balakrishnan G et al. 2003. Phys. Rev. B 68:020401
-
40. Blöte H, Wielinga R, Huiskamp W 1969. Physica 43:549–68
-
41. Champion JDM, Holdsworth P 2004. J. Phys.: Condens. Matter 16:S665
-
42. McClarty PA, Stasiak P, Gingras MJP 2014. Phys. Rev. B 89:024425
-
43. Petit S, Robert J, Guitteny S, Bonville P, Decorse C et al. 2014. Phys. Rev. B 90:060410
-
44. Oitmaa J, Singh RRP, Javanparast B, Day AGR, Bagheri BV, Gingras MJP 2013. Phys. Rev. B 88:220404
-
45. Poole A, Wills A, Lelievre-Berna E 2007. J. Phys. Condens. Matter 19:452201
-
46. Villain J, Bidaux R, Carton JP, Conte R 1980. J. Phys. 41:1263–72
-
47. Shender E 1982. Sov. Phys. J. Exp. Theor. Phys. 56:178
-
48. Henley CL 1989. Phys. Rev. Lett. 62:2056–59
-
49. Zhitomirsky ME, Holdsworth PCW, Moessner R 2014. Phys. Rev. B 89:140403
-
50. Javanparast B, Day AGR, Hao Z, Gingras MJP 2015. Phys. Rev. B 91:174424
-
51. Andreanov A, McClarty PA 2015. Phys. Rev. B 91:064401
-
52. Maryasin VS, Zhitomirsky ME 2014. Phys. Rev. B 90:094412
-
53. McClarty PA, Curnoe SH, Gingras MJP 2009. J. Phys. Conf. Ser. 145:012032
-
54. Ross KA, Qiu Y, Copley JRD, Dabkowska HA, Gaulin BD 2014. Phys. Rev. Lett. 112:057201
-
55. Rau JG, McClarty PA, Moessner R 2018. Phys. Rev. Lett. 121:237201
-
56. Ruff JPC, Clancy JP, Bourque A, White MA, Ramazanoglu M et al. 2008. Phys. Rev. Lett. 101:147205
-
57. Dalmas de Réotier P, Yaouanc A, Chapuis Y, Curnoe SH, Grenier B et al. 2012. Phys. Rev. B 86:104424
-
58. Sosin SS, Prozorova LA, Lees MR, Balakrishnan G, Petrenko OA 2010. Phys. Rev. B 82:094428
-
59. Lhotel E, Robert J, Ressouche E, Damay F, Mirebeau I et al. 2017. Phys. Rev. B 95:134426
-
60. Maryasin VS, Zhitomirsky ME, Moessner R 2016. Phys. Rev. B 93:100406
-
61. Gaudet J, Hallas AM, Thibault J, Butch NP, Dabkowska HA, Gaulin BD 2017. Phys. Rev. B 95:054407
-
62. Andrade EC, Hoyos JA, Rachel S, Vojta M 2018. Phys. Rev. Lett. 120:097204
-
63. Niven JF, Johnson MB, Bourque A, Murray PJ, James DD et al. 2014. Proc. R. Soc. A 470:20140387
-
64. Gaudet J, Hallas AM, Maharaj DD, Buhariwalla CRC, Kermarrec E et al. 2016. Phys. Rev. B 94:060407
-
65. Dun ZL, Li X, Freitas RS, Arrighi E, Dela Cruz CR et al. 2015. Phys. Rev. B 92:140407
-
66. Hallas AM, Gaudet J, Wilson MN, Munsie TJ, Aczel AA et al. 2016. Phys. Rev. B 93:104405
-
67. Yasui Y, Soda M, Iikubo S, Ito M, Sato M et al. 2003. J. Phys. Soc. Jpn. 72:3014–15
-
68. Chang LJ, Onoda S, Su Y, Kao YJ, Tsuei KD et al. 2012. Nat. Commun. 3:992
-
69. Yaouanc A, de Réotier PD, Keller L, Roessli B, Forget A 2016. J. Phys. Condens. Matter 28:426002
-
70. Gaudet J, Ross KA, Kermarrec E, Butch NP, Ehlers G et al. 2016. Phys. Rev. B 93:064406
-
71. Kermarrec E, Gaudet J, Fritsch K, Khasanov R, Guguchia Z et al. 2017. Nat. Commun. 8:14810
-
72. Peçanha-Antonio V, Feng E, Su Y, Pomjakushin V, Demmel F et al. 2017. Phys. Rev. B 96:214415
-
73. Gaudet J, Maharaj DD, Sala G, Kermarrec E, Ross KA et al. 2015. Phys. Rev. B 92:134420
-
74. Robert J, Lhotel E, Remenyi G, Sahling S, Mirebeau I et al. 2015. Phys. Rev. B 92:064425
-
75. Thompson JD, McClarty PA, Prabhakaran D, Cabrera I, Guidi T, Coldea R 2017. Phys. Rev. Lett. 119:057203
-
76. Hallas AM, Gaudet J, Butch NP, Tachibana M, Freitas RS et al. 2016. Phys. Rev. B 93:100403
-
77. Pan L, Kim SK, Ghosh A, Morris CM, Ross KA et al. 2014. Nat. Commun. 5:4970
-
78. Wang C, Senthil T 2016. Phys. Rev. X 6:011034
-
79. Dun ZL, Lee M, Choi ES, Hallas AM, Wiebe CR et al. 2014. Phys. Rev. B 89:064401
-
80. Jaubert LDC, O, Rau JG, Oitmaa J, Singh RRP et al. 2015. Phys. Rev. Lett. 115:267208
-
81. Thompson JD, McClarty PA, Rønnow HM, Regnault LP, Sorge A, Gingras MJP 2011. Phys. Rev. Lett. 106:187202
-
82. Elhajal M, Canals B, Sunyer R, Lacroix C 2005. Phys. Rev. B 71:094420
-
83. Canals B, Elhajal M, Lacroix C 2008. Phys. Rev. B 78:214431
-
84. Chern G-W 2010. arXiv:1008.3038 [cond-mat.str-el]
-
85. Arpino KE, Trump BA, Scheie AO, McQueen TM, Koohpayeh SM 2017. Phys. Rev. B 95:094407
-
86. Cai YQ, Cui Q, Li X, Dun ZL, Ma J et al. 2016. Phys. Rev. B 93:014443
-
87. Gingras MJP, den Hertog BC, Faucher M, Gardner JS, Dunsiger SR et al. 2000. Phys. Rev. B 62:6496–511
-
88. Mirebeau I, Bonville P, Hennion M 2007. Phys. Rev. B 76:184436
-
89. Zhang J, Fritsch K, Hao Z, Bagheri BV, Gingras MJP et al. 2014. Phys. Rev. B 89:134410
-
90. Princep AJ, Walker HC, Adroja DT, Prabhakaran D, Boothroyd AT 2015. Phys. Rev. B 91:224430
-
91. Gardner JS, Ehlers G, Bramwell ST, Gaulin BD 2004. J. Phys. Condens. Matter 16:S643
-
92. Guitteny S, Robert J, Bonville P, Ollivier J, Decorse C et al. 2013. Phys. Rev. Lett. 111:087201
-
93. Fennell T, Kenzelmann M, Roessli B, Mutka H, Ollivier J et al. 2014. Phys. Rev. Lett. 112:017203
-
94. Kao YJ, Enjalran M, Del Maestro A, Molavian HR, Gingras MJP 2003. Phys. Rev. B 68:172407
-
95. Enjalran M, Gingras MJP 2004. Phys. Rev. B 70:174426
-
96. Petit S, Bonville P, Robert J, Decorse C, Mirebeau I 2012. Phys. Rev. B 86:174403
-
97. Takatsu H, Onoda S, Kittaka S, Kasahara A, Kono Y et al. 2016. Phys. Rev. Lett. 116:217201
-
98. Gardner JS, Dunsiger SR, Gaulin BD, Gingras MJP, Greedan JE et al. 1999. Phys. Rev. Lett. 82:1012–15
-
99. Gardner JS, Gaulin BD, Berlinsky AJ, Waldron P, Dunsiger SR et al. 2001. Phys. Rev. B 64:224416
-
100. Wakita M, Taniguchi T, Edamoto H, Takatsu H, Kadowaki H 2016. J. Phys. Conf. Ser. 683:012023
-
101. Kermarrec E, Maharaj DD, Gaudet J, Fritsch K, Pomaranski D et al. 2015. Phys. Rev. B 92:245114
-
102. Fritsch K, Ross KA, Qiu Y, Copley JRD, Guidi T et al. 2013. Phys. Rev. B 87:094410
-
103. Fritsch K, Kermarrec E, Ross KA, Qiu Y, Copley JRD et al. 2014. Phys. Rev. B 90:014429
-
104. Fennell T, Kenzelmann M, Roessli B, Haas MK, Cava RJ 2012. Phys. Rev. Lett. 109:017201
-
105. Kanada M, Yasui Y, Ito M, Harashina H, Sato M et al. 1999. J. Phys. Soc. Jpn. 68:3802–5
-
106. Gardner JS, Keren A, Ehlers G, Stock C, Segal E et al. 2003. Phys. Rev. B 68:180401
-
107. Takatsu H, Kadowaki H, Sato TJ, Lynn JW, Tabata Y et al. 2012. J. Phys. Condens. Matter 24:052201
-
108. Kadowaki H, Takatsu H, Taniguchi T, Fåk B, Ollivier J 2015. Spin 5:1540003
-
109. Hamaguchi N, Matsushita T, Wada N, Yasui Y, Sato M 2004. Phys. Rev. B 69:132413
-
110. Taniguchi T, Kadowaki H, Takatsu H, Fåk B, Ollivier J et al. 2013. Phys. Rev. B 87:060408
-
111. Kadowaki H, Wakita M, Fåk B, Ollivier J, Ohira-Kawamura S et al. 2018. J. Phys. Soc. Jpn. 87:064704
-
112. Mirebeau I, Apetrei A, Rodríguez-Carvajal J, Bonville P, Forget A et al. 2005. Phys. Rev. Lett. 94:246402
-
113. Sibille R, Lhotel E, Hatnean MC, Nilsen GJ, Ehlers G et al. 2017. Nat. Commun. 8:892
-
114. Ruff JPC, Islam Z, Clancy JP, Ross KA, Nojiri H et al. 2010. Phys. Rev. Lett. 105:077203
-
115. Constable E, Ballou R, Robert J, Decorse C, Brubach JB et al. 2017. Phys. Rev. B 95:020415
-
116. Belov KP, Kataev GI, Levitin RZ, Nikitin SA, Sokolov VI 1983. Phys.-Uspekhi 26:518–42
-
117. Mamsurova LG, Pigal'Skii KS, Pukhov KK 1986. J. Exp. Theor. Phys. Lett. 43:755
-
118. Ruminy M, Bovo L, Pomjakushina E, Haas MK, Stuhr U et al. 2016. Phys. Rev. B 93:144407
-
119. Sazonov AP, Gukasov A, Mirebeau I, Bonville P 2012. Phys. Rev. B 85:214420
-
120. Legl S, Krey C, Dunsiger SR, Dabkowska HA, Rodriguez JA et al. 2012. Phys. Rev. Lett. 109:047201
-
121. Yin L, Xia JS, Takano Y, Sullivan NS, Li QJ, Sun XF 2013. Phys. Rev. Lett. 110:137201
-
122. Hirschberger M, Krizan JW, Cava RJ, Ong NP 2015. Science 348:106–9
-
123. Savary L, Balents L 2017. Phys. Rev. Lett. 118:087203
-
124. Benton O 2018. Phys. Rev. Lett. 121:037203
-
125. Kimura K, Nakatsuji S, Wen JJ, Broholm C, Stone MB et al. 2013. Nat. Commun. 4:1934
-
126. Petit S, Lhotel E, Guitteny S, Florea O, Robert J et al. 2016. Phys. Rev. B 94:165153
-
127. Bonville P, Guitteny S, Gukasov A, Mirebeau I, Petit S et al. 2016. Phys. Rev. B 94:134428
-
128. Martin N, Bonville P, Lhotel E, Guitteny S, Wildes A et al. 2017. Phys. Rev. X 7:041028
-
129. Wen JJ, Koohpayeh SM, Ross KA, Trump BA, McQueen TM et al. 2017. Phys. Rev. Lett. 118:107206
-
130. Koohpayeh SM, Wen JJ, Trump BA, Broholm CL, McQueen TM 2014. J. Crystal Growth 402:291–98
-
131. Tabira Y, Withers R, Thompson J, Schmid S 1999. J. Solid State Chem. 142:393–99
-
132. Tabira Y, Withers RL, Yamada T, Ishizawa N 2001. Z. Kristallogr. 216:92
-
133. Shoemaker DP, Seshadri R, Tachibana M, Hector AL 2011. Phys. Rev. B 84:064117
-
134. Tokiwa Y, Yamashita T, Terazawa D, Kimura K, Kasahara Y et al. 2018. J. Phys. Soc. Jpn. 87:064702
-
135. Anand VK, Opherden L, Xu J, Adroja DT, Islam ATMN et al. 2016. Phys. Rev. B 94:144415
-
136. Sibille R, Lhotel E, Hatnean MC, Balakrishnan G, Fåk B et al. 2016. Phys. Rev. B 94:024436
-
137. Sibille R, Gauthier N, Yan H, Hatnean MC, Ollivier J et al. 2018. Nat. Phys. 14:711–15
-
138. Lau GC, Freitas RS, Ueland BG, Schiffer P, Cava RJ 2005. Phys. Rev. B 72:054411
-
139. Lago J, Živković I, Malkin BZ, Rodriguez Fernandez J, Ghigna P et al. 2010. Phys. Rev. Lett. 104:247203
-
140. Gao S, Zaharko O, Tsurkan V, Prodan L, Riordan E et al. 2018. Phys. Rev. Lett. 120:137201
-
141. Reig-i-Plessis D, Geldern SV, Aczel AA, MacDougall GJ 2017. arXiv:1703.04267 [cond-mat.dis-nn]
-
142. Higo T, Iritani K, Halim M, Higemoto W, Ito TU et al. 2017. Phys. Rev. B 95:174443
-
143. Dalmas de Réotier P, Marin C, Yaouanc A, Ritter C, Maisuradze A et al. 2017. Phys. Rev. B 96:134403
-
144. Krizan JW, Cava RJ 2014. Phys. Rev. B 89:214401
-
145. Krizan JW, Cava RJ 2015. Phys. Rev. B 92:014406
-
146. Sanders MB, Krizan JW, Plumb KW, McQueen TM, Cava RJ 2016. J. Phys. Condens. Matter 29:045801
-
147. Ross KA, Krizan JW, Rodriguez-Rivera JA, Cava RJ, Broholm CL 2016. Phys. Rev. B 93:014433
-
148. Ross KA, Brown JM, Cava RJ, Krizan JW, Nagler SE et al. 2017. Phys. Rev. B 95:144414
-
149. Plumb KW, Changlani HJ, Scheie A, Zhang S, Kriza JW, et al 2019. Nat. Phys. 15:54–59
-
150. Conlon PH, Chalker JT 2009. Phys. Rev. Lett. 102:237206
-
151. Anderson PW 1956. Phys. Rev. 102:1008–13
-
152. Witczak-Krempa W, Chen G, Kim YB, Balents L 2014. Annu. Rev. Condens. Matter Phys. 5:57–82
-
153. Fu J, Rau JG, Gingras MJP, Perkins NB 2017. Phys. Rev. B 96:035136
Data & Media loading...
- Article Type: Review Article
Most Read This Month
Most Cited Most Cited RSS feed
-
-
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Vol. 6 (2015), pp. 15–38
-
-
-
-
-
-
-
-
-
Correlated Quantum Phenomena in the Strong Spin-Orbit Regime
Vol. 5 (2014), pp. 57–82
-
-
-
-
-
Interface Physics in Complex Oxide Heterostructures
Vol. 2 (2011), pp. 141–165
-
-
-
-
-
Strong Correlations from Hund’s Coupling
Vol. 4 (2013), pp. 137–178
-
- More Less