Thermodynamic properties of Yb2Ti2O7 pyrochlore as a function of temperature and magnetic field: Validation of a quantum spin ice exchange Hamiltonian

Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 18, 2013, Pages

  Hayre, N R ^a   Ross, K A ^b,c,d   Applegate, R ^a   Lin, T ^e   Singh, R R P ^a   Gaulin, B D ^b,f,g   Gingras, M J P ^e,g,h  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b MCMASTER UNIVERSITY   (Canada)

^c JOHNS HOPKINS UNIVERSITY   (United States)

^d NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^e UNIVERSITY OF WATERLOO   (Canada)

^f MCMASTER UNIVERSITY   (Canada)

^g CANADIAN INSTITUTE FOR ADVANCED RESEARCH   (Canada)

^h PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878571036     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.184423     Document Type: Article

References (82)

1. L. Balents, Nature (London) NATUAS 0028-0836 10.1038/nature08917 464, 199 (2010).
2. â̂̃, as arises in spin ice compounds. In that case, the effective interactions can be said to be antiferromagnetic (see Ref.).
3. M. J. P. Gingras, in Introduction to Frustrated Magnetism, Springer Series in Solid-State Sciences, Vol. 164, edited by, C. Lacroix, P. Mendels, and, F. Mila, (Springer, Berlin, 2011), Chap. 12.
4. R. Moessner, Can. J. Phys. CJPHAD 0008-4204 10.1139/p01-123 79, 1283 (2001).
5. J. S. Gardner, M. J. P. Gingras, and J. E. Greedan, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.53 82, 53 (2010).
6. J. D. M. Champion, M. J. Harris, P. C. W. Holdsworth, A. S. Wills, G. Balakrishnan, S. T. Bramwell, E. Cižmár, T. Fennell, J. S. Gardner, J. Lago, D. F. McMorrow, M. Orendáč, A. Orendáčová, D. McK. Paul, R. I. Smith, M. T. F. Telling, and A. Wildes, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.68.020401 68, 020401 (2003).
7. L. Savary, K. A. Ross, B. D. Gaulin, J. P. C. Ruff, and Leon Balents, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.167201 109, 167201 (2012);
8. M. E. Zhitomirsky, M. V. Gvozdikova, P. C. W. Holdsworth, and R. Moessner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.077204 109, 077204 (2012);
9. J. Oitmaa, R. R. P. Singh, A. G. R. Day, B. V. Bagheri, and M. J. P. Gingras, arXiv: 1305.2935 (2013).
10. J. R. Stewart, G. Ehlers, A. S. Wills, S. T. Bramwell, and J. S. Gardner, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/28/L01 16, L321 (2004).
11. J. S. Gardner, S. R. Dunsiger, B. D. Gaulin, M. J. P. Gingras, J. E. Greedan, R. F. Kiefl, M. D. Lumsden, W. A. MacFarlane, N. P. Raju, J. E. Sonier, I. Swainson, and Z. Tun, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 82.1012 82, 1012 (1999).
12. M. J. Harris, S. T. Bramwell, P. C. W. Holdsworth, and J. D. M. Champion, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4496 81, 4496 (1998).
13. S. T. Bramwell, M. J. Harris, B. C. den Hertog, M. J. P. Gingras, J. S. Gardner, D. F. McMorrow, A. R. Wildes, A. L. Cornelius, J. D. M. Champion, R. G. Melko, and T. Fennell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 87.047205 87, 047205 (2001).
14. A. P. Ramirez, A. Hayashi, R. J. Cava, R. Siddharthan, and B. S. Shastry, Nature (London) NATUAS 0028-0836 10.1038/20619 399, 333 (1999). (Pubitemid 29318125)
15. S. T. Bramwell and M. J. P. Gingras, Science SCIEAS 0036-8075 10.1126/science.1064761 294, 1495 (2001). (Pubitemid 33063914)
16. C. Castelnovo, R. Moessner, and S. L. Sondhi, Annu. Rev. Condens. Matter Phys. 1947-5454 10.1146/annurev-conmatphys-020911-125058 3, 35 (2012).
17. A. L. Cornelius and J. S. Gardner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.64.060406 64, 060406 (2001).
18. H. D. Zhou, J. G. Cheng, A. M. Hallas, C. R. Wiebe, G. Li, L. Balicas, J. S. Zhou, J. B. Goodenough, J. S. Gardner, and E. S. Choi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.207206 108, 207206 (2012).
19. C. L. Henley, Annu. Rev. Condens. Matter Phys. 1947-5454 10.1146/annurev-conmatphys-070909-104138 1, 179 (2010).
20. C. Castelnovo, R. Moessner, and S. L. Sondhi, Nature (London) NATUAS 0028-0836 10.1038/nature06433 451, 42 (2008).
21. R. R. P. Singh, Physics 1943-2879 10.1103/Physics.4.77 4, 77 (2011).
22. K. A. Ross, L. Savary, B. D. Gaulin, and L. Balents, Phys. Rev. X 2160-3308 10.1103/PhysRevX.1.021002 1, 021002 (2011).
23. L. Savary and L. Balents, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.037202 108, 037202 (2012).
24. S. B. Lee, S. Onoda, and L. Balents, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.104412 86, 104412 (2012).
25. The pyrochlore lattice can be described by a face-centered-cubic (fcc) space lattice with a four-site (tetrahedron) sublattice basis. The z î quantization axis is along the local [111] cubic direction at each of the four sublattice sites, and ± (or equivalently, x and y) refers to the two orthogonal local directions.
26. x y component of the g tensor.
27. M. J. P. Gingras and P. Henelius, J. Phys.: Conf. Series 1742-6588 10.1088/1742-6596/320/1/012001 320, 012001 (2011).
28. 7 forms a monoclinic structure rather than a pyrochlore one. See Ref..
29. H. R. Molavian, M. J. P. Gingras, and B. Canals, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.157204 98, 157204 (2007). (Pubitemid 46582692)
30. H. R. Molavian, P. A. McClarty, and M. J. P. Gingras, arXiv: 0912.2957.
31. S. Onoda and Y. Tanaka, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.094411 83, 094411 (2011).
32. S. Rosenkranz, A. P. Ramirez, A. Hayashi, R. J. Cava, R. Siddharthan, and B. S. Shastry, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.372565 87, 5914 (2000).
33. A. Bertin, Y. Chapuis, P. Dalmas de Réotier, and A. Yaouanc, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/24/25/256003 24, 256003 (2012).
34. B. C. den Hertog and M. J. P. Gingras, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.3430 84, 3430 (2000).
35. T. Yavorsk'ii, T. Fennell, M. J. P. Gingras, and S. T. Bramwell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.037204 101, 037204 (2008).
36. B. Z. Malkin, T. T. A. Lummen, P. H. M. van Loosdrecht, G. Dhalenne, and A. R. Zakirov, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/22/ 27/276003 22, 276003 (2010).
37. J. A. Hodges, P. Bonville, A. Forget, A. Yaouanc, P. Dalmas de Réotier, G. André, M. Rams, K. Królas, C. Ritter, P. C. M. Gubbens, C. T. Kaiser, P. J. C. King, and C. Baines, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.077204 88, 077204 (2002).
38. H. W. J. Blöte, R. F. Wielinga, and W. J. Huiscamp, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(69)90187-6 43, 549 (1969).
39. Y. Yasui, M. Soda, S. Iikubo, M. Ito, M. Sato, N. Hamaguchi, T. Matsushita, N. Wada, T. Takeuchi, N. Aso, and K. Kakurai, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.72.3014 72, 3014 (2003).
40. J. S. Gardner, G. Ehlers, N. Rosov, R. W. Erwin, and C. Petrovic, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.180404 70, 180404 (2004). (Pubitemid 40110838)
41. K. A. Ross, J. P. C. Ruff, C. P. Adams, J. S. Gardner, H. A. Dabkowska, Y. Qiu, J. R. D. Copley, and B. D. Gaulin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.227202 103, 227202 (2009).
42. L.-J. Chang, S. Onoda, Y. Su, Y.-J. Kao, K.-D. Tsuei, Y. Yasui, K. Kakurai, and M. R. Lees, Nat. Commun. 2041-1723 10.1038/ncomms1989 3, 992 (2012).
43. R. M. D'Ortenzio, H. A. Dabkowska, S. R. Dunsiger, B. D. Gaulin, M. J. P. Gingras, T. Goko, J. B. Kycia, L. Liu, T. Medina, T. J. Munsie, D. Pomaranksi, K. A. Ross, Y. J. Uemura, T. J. Williams, and G. M. Luke, arXiv: 1303.3850.
44. A. Yaouanc, P. Dalmas de Réotier, C. Marin, and V. Glazkov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.172408 84, 172408 (2011).
45. K. A. Ross, L. R. Yaraskavitch, M. Laver, J. S. Gardner, J. A. Quilliam, S. Meng, J. B. Kycia, D. K. Singh, Th. Proffen, H. A. Dabkowska, and B. D. Gaulin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.174442 84, 174442 (2011).
46. K. A. Ross, Th. Proffen, H. A. Dabkowska, J. A. Quilliam, L. R. Yaraskavitch, J. B. Kycia, and B. D. Gaulin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.174424 86, 174424 (2012).
47. A. Yaouanc, P. Dalmas de Réotier, P. Bonville, J. A. Hodges, V. Glazkov, L. Keller, V. Sikolenko, M. Bartkowiak, A. Amato, C. Baines, P. J. C. King, P. C. M. Gubbens, and A. Forget, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.127207 110, 127207 (2013).
48. J. Lago, I. Zivkovic, B. Z. Malkin, J. Rodriguez Fernandez, P. Ghigna, P. Dalmas de Reotier, A. Yaouanc, and T. Rojo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.247203 104, 247203 (2010).
49. J. Villain, Z. Phys. B: Condens. Matter Quanta ZPBBDJ 0340-224X 10.1007/BF01325811 33, 31 (1979).
50. M. Hermele, M. P. A. Fisher, and L. Balents, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.064404 69, 064404 (2004).
51. A. H. Castro-Neto, P. Pujol, and E. Fradkin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.024302 74, 024302 (2006). (Pubitemid 44100089)
52. A. Banerjee, S. V. Isakov, K. Damle, and Y.-B. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.047208 100, 047208 (2008). (Pubitemid 351198043)
53. N. Shannon, O. Sikora, F. Pollmann, K. Penc, and P. Fulde, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.067204 108, 067204 (2012).
54. P. Bonville, I. Mirebeau, A. Gukasov, S. Petit, and J. Robert, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.184409 84, 184409 (2011).
55. S. Petit, P. Bonville, I. Mirebeau, H. Mutka, and Julien Robert, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.054428 85, 054428 (2012).
56. O. Benton, O. Sikora, and N. Shannon, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.075154 86, 075154 (2012).
57. â̂ | ⌠matrix elements (see discussion in Supplemental Material of Ref.) without concerns about interaction-induced admixing between the crystal-field levels (see Refs. and).
58. J. D. Thompson, P. A. McClarty, H. M. Rønnow, L. P. Regnault, A. Sorge, and M. J. P. Gingras, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.187202 106, 187202 (2011).
59. S. H. Curnoe, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.094418 78, 094418 (2008).
60. P. A. McClarty, S. H. Curnoe, and M. J. P. Gingras, J. Phys.: Conf. Ser. 1742-6588 10.1088/1742-6596/145/1/012032 145, 012032 (2009).
61. M. J. P. Gingras and B. C. den Hertog, Can. J. Phys. CJPHAD 0008-4204 10.1139/p01-099 79, 1339 (2001).
62. S. V. Isakov, R. Moessner, and S. L. Sondhi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.217201 95, 217201 (2005). (Pubitemid 41777075)
63. H. Cao, A. Gukasov, I. Mirebeau, P. Bonville, C. Decorse, and G. Dhalenne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.056402 103, 056402 (2009).
64. H. B. Cao, A. Gukasov, I. Mirebeau, and P. Bonville, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/49/492202 21, 492202 (2009).
65. R. Applegate, N. R. Hayre, R. R. P. Singh, T. Lin, A. G. R. Day, and M. J. P. Gingras, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.097205 109, 097205 (2012).
66. M. Rigol, T. Bryant, and R. R. P. Singh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.187202 97, 187202 (2006); (Pubitemid 44684327)
67. M. Rigol, T. Bryant, and R. R. P. Singh, Phys. Rev. E 1539-3755 10.1103/PhysRevE.75.061118 75, 061118 (2007); (Pubitemid 47140256)
68. M. Rigol, T. Bryant, and R. R. P. Singh, Phys. Rev. E 1539-3755 10.1103/PhysRevE.75.061119 75, 061119 (2007). (Pubitemid 47140255)
69. R. R. P. Singh and J. Oitmaa, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.144414 85, 144414 (2012).
70. See, for example, W. H. Press, Numerical Recipes (Cambridge University Press, Cambridge, UK, 1989), p. 133.
71. J. S. Gardner, B. D. Gaulin, and D. McK. Paul, J. Cryst. Growth JCRGAE 0022-0248 10.1016/S0022-0248(98)00382-0 191, 740 (1998).
72. A. Aharoni, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.367113 83, 3432 (1998).
73. J. D. Thompson, P. A. McClarty, and M. J. P. Gingras, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/23/16/164219 23, 164219 (2011).
74. 7 being in a collective paramagnetic phase, and correlation effects that appear due to the presence of a nearby phase transition."
75. QSI with anisotropic exchange couplings obtained from a random phase approximation (RPA) fit of the diffused neutron scattering, as reported in both Refs. and, to describe the zero-field magnetic specific heat had already been pointed out in Ref..
76. J. P. C. Ruff, J. P. Clancy, A. Bourque, M. A. White, M. Ramazanoglu, J. S. Gardner, Y. Qiu, J. R. D. Copley, M. B. Johnson, H. A. Dabkowska, and B. D. Gaulin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.147205 101, 147205 (2008).
77. P. Dalmas de Réotier, A. Yaouanc, Y. Chapuis, S. H. Curnoe, B. Grenier, E. Ressouche, C. Marin, J. Lago, C. Baines, and S. R. Giblin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.104424 86, 104424 (2012).
78. c ∼ 0.24 K [see Fig. in P. Dalmas de Réotier, V. Glazkov, C. Marin, A. Yaouanc, P. C. M. Gubbens, S. Sakarya, P. Bonville, A. Amato, C. Baines, and P. J. C. King, Physica B (Amsterdam) PHYBE3 0921-4526 10.1016/j.physb.2005.11.037 374-375, 145 (2005)], albeit not as sharp as that found in another powder sample studied in Ref..
79. 7 (Ref.) μ SR finds that the magnetic moment continue to fluctuate down to the lowest temperature considered.
80. P. A. McClarty, J. N. Cosman, A. G. Del Maestro, and M. J. P. Gingras, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/23/16/164216 23, 164216 (2011).
81. P. Quémerais, P. A. McClarty, and R. Moessner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.127601 109, 127601 (2012).
82. Z. L. Dun, E. S. Choi, H. D. Zhou, A. M. Hallas, H. J. Silverstein, Y. Qiu, J. R. D. Copley, J. S. Gardner, and C. R. Wiebe, Phys. Rev. B 1098-0121 10.1103/PhysRevB.87.134408 87, 134408 (2013).