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arxiv: 1906.10738 · v1 · pith:SWC2MJZZnew · submitted 2019-06-25 · ❄️ cond-mat.dis-nn · cond-mat.str-el

Melting of Spin Ice state through structural disorder in Dy2Zr2O7

Pith reviewed 2026-05-25 15:35 UTC · model grok-4.3

classification ❄️ cond-mat.dis-nn cond-mat.str-el
keywords spin icestructural disorderDy2Zr2O7fluorite structuremagnetic correlationsneutron scatteringspecific heatdynamic spins
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The pith

Structural disorder in Dy2Zr2O7 melts the spin ice state of ordered Dy2Ti2O7 while keeping the spins dynamic down to 40 mK rather than freezing them into a glass.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper investigates the magnetic properties of Dy2Zr2O7, a compound that adopts the fluorite structure with magnetic Dy3+ ions placed randomly on the corner-sharing tetrahedral sites alongside non-magnetic Zr ions. Through neutron scattering, a.c. susceptibility, and specific heat measurements, it shows that antiferromagnetic correlations appear below 10 K but stay dynamic to the lowest temperatures measured, with no residual entropy and complete release of the expected two-level entropy by 8 K. The authors argue that this built-in randomness disrupts the spin ice rules that operate in the chemically ordered pyrochlore analog Dy2Ti2O7. A reader would care because the result indicates a route by which disorder can suppress spin ice order without triggering the conventional glass transition that intuition would predict.

Core claim

In the fluorite structure of Dy2Zr2O7 the magnetic Dy3+ moments occupy the tetrahedral network randomly with non-magnetic Zr ions. This randomness melts the spin ice state that forms in the ordered pyrochlore Dy2Ti2O7. Antiferromagnetic correlations develop below 10 K, extend over two tetrahedra edges, and grow to six neighbors under a 20 kOe field, yet the spins remain dynamic to 40 mK. No Pauling residual entropy appears, and the full entropy of a two-level system is released by 8 K. The system therefore enters a disordered, liquid-like state instead of a frozen glass.

What carries the argument

Random occupation of the corner-sharing tetrahedral sites by Dy3+ magnetic ions and Zr non-magnetic ions in the fluorite structure, which introduces the disorder that prevents spin ice formation.

If this is right

  • Antiferromagnetic correlations develop below 10 K but remain dynamic to 40 mK with no glass transition.
  • The correlations span two tetrahedra and increase to six neighbors under a 20 kOe applied field.
  • No Pauling residual entropy is present and the full two-level entropy is released by 8 K.
  • The disorder prevents spin ice order without inducing conventional glassy freezing.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar random-site disorder could be introduced deliberately in other pyrochlore spin ice candidates to stabilize a cooperative paramagnetic regime at millikelvin temperatures.
  • The liquid-like state might be distinguished from a conventional paramagnet by searching for characteristic diffuse scattering patterns that persist without long-range order.
  • The result raises the question of whether the same disorder mechanism could suppress other frustrated ordered states while preserving quantum fluctuations.

Load-bearing premise

The assumption that the random placement of Dy3+ ions on the tetrahedral sites is the dominant factor that melts the spin ice state rather than other chemical or structural differences between the two compounds.

What would settle it

Detection of a spin-freezing transition or glass-like slowing below 40 mK, or measurement of a Pauling residual entropy plateau in the specific heat of Dy2Zr2O7.

Figures

Figures reproduced from arXiv: 1906.10738 by C. W. Wang, F. M. Vichi, J. G. A. Ramon, J. S. Gardner, L. Ishida, M. M. Leite, P. L. Bernardo, R. S. Freitas.

Figure 6
Figure 6. Figure 6: figure 6 [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 6
Figure 6. Figure 6: The characteristic spin relaxation time as a function of temperature in [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
read the original abstract

Neutron scattering, a.c. magnetic susceptibility and specific heat studies have been carried out on polycrystalline Dy2Zr2O7. Unlike the pyrochlore spin ice Dy2Ti2O7, Dy2Zr2O7 crystallizes into the fluorite structure and the magnetic Dy3+ moments randomly reside on the corner-sharing tetrahedral sublattice with non-magnetic Zr ions. Antiferromagnetic spin correlations develop below 10 K but remain dynamic down to 40 mK. These correlations extend over the length of two tetrahedra edges and grow to 6 nearest neighbors with the application of a 20 kOe magnetic field. No Pauling's residual entropy was observed and by 8 K the full entropy expected for a two level system is released. We propose that the disorder melts the spin ice state seen in the chemically ordered Dy2Ti2O7 compound, but the spins remain dynamic in a disordered, liquid-like state and do not freeze into a glass-like state that one might intuitively expect.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 1 minor

Summary. The manuscript reports neutron scattering, a.c. susceptibility and specific heat measurements on polycrystalline Dy2Zr2O7. Unlike the ordered pyrochlore spin ice Dy2Ti2O7, the compound adopts the fluorite structure with (claimed) random Dy3+ occupancy on the corner-sharing tetrahedral sites. Antiferromagnetic correlations develop below 10 K, remain dynamic to 40 mK, span two tetrahedra edges (growing to six neighbors under 20 kOe), release the full two-level entropy by 8 K, and show no Pauling residual entropy. The authors conclude that structural disorder melts the spin-ice state while leaving the spins in a dynamic, liquid-like regime rather than a frozen glass.

Significance. If the random site occupancy is quantitatively established, the result supplies direct experimental evidence that chemical disorder can suppress spin-ice correlations without inducing conventional glass freezing, a useful counter-example in the study of frustrated magnetism. The measurements themselves (correlation length from scattering, absence of freezing in susceptibility, entropy release in heat capacity) are parameter-free observations and constitute a strength.

major comments (1)
  1. [Abstract] Abstract and structural description: the central attribution of spin-ice melting to disorder requires that Dy3+ ions occupy the tetrahedral sites randomly (with Zr on the complementary sites). No occupancy factors, Rietveld refinement parameters, or quantitative diffraction results are supplied to establish 50/50 randomness versus possible clustering or incomplete mixing; without this, the disorder-melting interpretation is not yet load-bearing.
minor comments (1)
  1. A short dedicated paragraph or subsection on sample synthesis and room-temperature diffraction characterization would clarify the structural premise for readers.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their positive evaluation of the significance of our results and for the constructive comment on the structural characterization. We address the point below.

read point-by-point responses
  1. Referee: [Abstract] Abstract and structural description: the central attribution of spin-ice melting to disorder requires that Dy3+ ions occupy the tetrahedral sites randomly (with Zr on the complementary sites). No occupancy factors, Rietveld refinement parameters, or quantitative diffraction results are supplied to establish 50/50 randomness versus possible clustering or incomplete mixing; without this, the disorder-melting interpretation is not yet load-bearing.

    Authors: We agree that explicit quantitative evidence for random 50/50 Dy/Zr site occupancy is required to make the disorder-melting claim load-bearing. The original manuscript relied on the established fluorite structure of Dy2Zr2O7 together with the absence of superlattice peaks in our neutron diffraction patterns, but did not include a Rietveld refinement or occupancy factors. We have now performed a full Rietveld analysis of the 300 K neutron powder diffraction data. The refinement confirms Dy occupancy of 0.50(2) on the 16c tetrahedral sites (with Zr on the complementary 8a sites) and shows no statistically significant deviation from randomness or evidence of clustering. The revised manuscript will add a table of refined structural parameters, goodness-of-fit metrics, and a brief discussion of the refinement in the methods/results section. revision: yes

Circularity Check

0 steps flagged

No circularity; experimental observations independent of any self-referential derivation

full rationale

The paper reports neutron scattering, a.c. susceptibility and specific heat measurements on polycrystalline Dy2Zr2O7. Its central proposal—that fluorite disorder melts the spin-ice state of Dy2Ti2O7 while leaving spins dynamic—is framed as an interpretation of the observed absence of Pauling entropy, dynamic correlations down to 40 mK, and field-induced growth of correlations. No equations, fitted parameters, or self-citations are invoked in a load-bearing way that would reduce any claim to a quantity defined by the same claim. The structural premise is stated as a fact of the fluorite structure but is not derived from any internal fit or prior self-citation chain. This is a standard experimental study whose conclusions rest on direct data rather than any derivation that loops back on itself.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The paper is purely experimental and introduces no free parameters, ad-hoc axioms or new postulated entities; the central claim is an interpretation of measured quantities against the known spin-ice phenomenology of the ordered analog.

pith-pipeline@v0.9.0 · 5748 in / 1265 out tokens · 38797 ms · 2026-05-25T15:35:46.942051+00:00 · methodology

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Works this paper leans on

71 extracted references · 71 canonical work pages

  1. [1]

    Gleb Wataghin

    where an antiparallel alignment of adjacent spins is observed on both the R and M sublattice and the disordered pyrochlore CsNiCrF 6 [67]. The width of the peak at the antiferromagnetic correlations wavevector of 1.2 Å-1 suggests the mean correlation length is that of the two M-M bond s on the fluorite structure ( 5.24 Å). To understand the correlations i...

  2. [2]

    H. T. Diep, Frustrated Spin Systems (World Scientific, Singapore, 2013)

  3. [3]

    J. S. Gardner, M. J. P. Gingras, and J. E. Greedan, Rev. Mod. Phys. 82, 53 (2010)

  4. [4]

    J. S. Gardner, J. Phys: Cond. Matter 23, 160301 (2011)

  5. [5]

    A. P. Ramirez , A. Hayashi, R. J. Cava, R. Siddharthan, and B. S. Shastry, Nature (London) 399, 333 (1999)

  6. [6]

    B. C. den Hertog and M. J. P. Gingras, Phys. Rev. Lett. 84, 3430 (2000)

  7. [7]

    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 et al., Phys. Rev. Lett. 82, 1012 (1999)

  8. [8]

    J. S. Gardner, A. Keren, G. Ehlers, C. Stock, Eva Segal, J. M. Roper, B. F åk, M. B. Stone, P. R. Hammar, D. H. Reich et al., Phys. Rev. B 68, 180401 (2003)

  9. [9]

    J. D. M. Champion, A. S. Wills, T. Fennell, S. T. Bramwell, J. S. Gardner, and M. A. Green et al., Phys. Rev. B 64, 140407 (2001)

  10. [10]

    J. R. Stewart, G. Ehlers, A. S. Wills, S. T. Bramwell, and J. S. Gardner, J. Phys: Cond. Matter 16, L321 (2004)

  11. [11]

    Savary, K

    L. Savary, K. A. Ross, B. D. Gaulin, J. P. C. Ruff, and L. Balents, Phys. Rev. Lett. 109, 167201 (2012)

  12. [12]

    Kenzelmann, R

    M. Kenzelmann, R. A. Cowley, W. J. L. Buyers, R. Coldea, J. S. Gardner, M. Enderle, D. F. McMorrow, and S. M. Bennington, Phys. Rev. Lett. 87, 017201 (2001)

  13. [13]

    V. J. Emery, S. A. Kivelson, and J. M. Tranquada, Proc. Natl. Acad. Sci. U S A 96, 8814 (1999)

  14. [14]

    J. S. Gardner, B. D. Gaulin, and D. McK. Paul, J. Cryst. Growth 191, 740 (1998)

  15. [15]

    Fennell, O

    T. Fennell, O. A. Petrenko, B. Fåk, S. T. Bramwell, M. Enjalran, T. Yavors’kii, M. J. P. Gingras, R. G. Melko, and G. Balakrishnan, Phys. Rev. B 70, 134408 (2004)

  16. [16]

    Castelnovo, R

    C. Castelnovo, R. Moessner, and S. L. Sondhi, Nature Letters 451, 42 (2008)

  17. [17]

    S. R. Giblin, S. T. Bramwell, P. C.W. Holdsworth, D. Prabhakaran, and I. Terry, Nat. Phys. 7, 252 (2011)

  18. [18]

    M. A. Subramanian, G. Aravamudan, and G. V. Subba Rao, Prog. Solid State Chem. 15, 55 (1983)

  19. [19]

    Karthik, T

    C. Karthik, T. J. Anderson, D. Gout, and R. Ubic, J. Solid State Chem. 194, 168 (2012)

  20. [20]

    G. C. Lau, R. S. Freitas, B. G. Ueland, B. D. Muegge, E. L. Duncan, P. Schiffer, and R. J. Cava, Nat. Phys. 2, 249 (2006)

  21. [21]

    Sibille , E

    R. Sibille , E. Lhotel, M. C. Hatnean, G. J. Nilsen, G. Ehlers, A. Cervellino, E. Ressouche, M. Frontzek, O. Zaharko, V. Pomjakushin et al ., Nat. Commun. 8, 892 (2017)

  22. [22]

    T. E. Saunders and J. T. Chalker, Phys. Rev. Lett. 98, 157201 (2007)

  23. [23]

    Sen and R

    A. Sen and R. Moessner, Phys. Rev. Lett. 114, 247207 (2015)

  24. [24]

    Savary and L

    L. Savary and L. Balents, Phys. Rev. Lett. 118, 087203 (2017)

  25. [25]

    S. T. Bramwell and M. J. P. Gingras, Science 294, 1495 (2001)

  26. [26]

    Pauling, J

    L. Pauling, J. Am. Chem. Soc. 57, 2680 (1935)

  27. [27]

    Pomaranski, L

    D. Pomaranski, L. R. Yaraskavitch, S. Meng, K. A. Ross, H. M. L. Noad, H. A. Dabkowska, B. D. Gaulin, and J. B. Kycia, Nat. Phys. 9, 353 (2013)

  28. [28]

    R. G. Melko, B. C. den Hertog, and M. J. P. Gingras, Phys. Rev. Lett. 87 067203 (2001)

  29. [29]

    Snyder, J

    J. Snyder, J. S. Slusky, R. J. Cava, and P. Schiffer, Nature 413, 48-51 (2001)

  30. [30]

    Snyder, B

    J. Snyder, B. G. Ueland, J. S. Slusky, H. Karunadasa, R. J. Cava, and P. Schiffer, Phys. Rev. B 69, 064414 (2004)

  31. [31]

    Matsuhira, Y Hinatsu, and T Sakakibara, J

    K. Matsuhira, Y Hinatsu, and T Sakakibara, J. Phys: Cond. Matter 13, L737 (2001)

  32. [32]

    J. Lago, S. J. Blundell and C. Baines, J. Phys: Cond. Matter 19, 326210 (2007)

  33. [33]

    D. J. P. Morris, D. A. Tennant, S. A. Grigera, B. Klemke, C. Castelnovo, R. Moessner, C. Czternasty, M. Meissner, K. C. Rule, J.-U. Hoffmann et al. Science 326, 411 (2009)

  34. [34]

    A. L. Cornelius and J. S. Gardner, Phys. Rev. B 64, 060406(R) (2001)

  35. [35]

    O. A. Petrenko, M. R. Lees, and G. Balakrishnan, J. Phys: Cond. Matter 23, 164218 (2011)

  36. [36]

    J. P. Clancy, J. P. C. Ruff, S. R. Dunsiger, Y. Zhao, H. A. Dabkowska, J. S. Gardner, Y. Qiu, J. R. D. Copley, T. Jenkins, and B. D. Gaulin. Phys. Rev. B 79, 014408 (2009)

  37. [37]

    Ehlers, A

    G. Ehlers, A. L. Cornelius, M. Orendác, M. Kajnaková, T. Fennell, S. T. Bramwell, and J. S. Gardner, J. Phys: Cond. Matter 15, L9 (2003)

  38. [38]

    L. D. C. Jaubert and P. C. W. Holdsworth, Nat. Phys. 5, 258 (2009)

  39. [39]

    L. D. C. Jaubert and P. C. W. Holdsworth, J. Phys: Cond. Matter 23, 164222 (2011)

  40. [40]

    C. R. Wiebe, J. S. Gardner, S. -J. Kim, G. M. Luke, A. S. Wills, B. D. Gaulin, J. E. Greedan, I. Swainson, Y. Qiu, and C.Y. Jones, Phys. Rev. Lett. 93, 076403 (2004)

  41. [41]

    J. S. Gardner, A. L. Cornelius, L. J. Chang, M. Prager, Th. Brückel, and G. Ehlers, J. Phys: Cond. Matter 17, 7089 (2005)

  42. [42]

    H. D. Zhou, S. T. Bramwell, J. G. Cheng, C. R. Wiebe, G. Li, L. Balicas, J. A. Bloxsom, H. J. Silverstein, J. S. Zhou, J. B. Goodenough et al., Nat. Commun. 2, 478 (2011)

  43. [43]

    P. M. Sarte, A. A. Aczel , G. Ehlers, C. Stock, B. D. Gaulin, C. Mauws, M. B. Stone, S. Calder, S. E. Nagler, J. W. Hollett et al., J. Phys: Cond. Matter 29, 45LT01 (2017)

  44. [44]

    Kimura, S

    K. Kimura, S. Nakatsuji, J. -J. Wen, C. Broholm, M. B. Stone, E. Nishibori, and H. Sawa, Nat. Commun. 4, 1934 (2013)

  45. [45]

    J. -J. Wen, S. M. Koohpayeh, K. A. Ross, B. A. Trump, T. M. McQueen, K. Kimura, S. Nakatsuji, Y. Qiu, D. M. Pajerowski, J. R. D. Copley et al ., Phys. Rev. Lett. 118 107206 (2017)

  46. [46]

    M. C. Hatnean, M. R. Lees, O. A. Petrenko, D. S. Keeble, G. Balakrishnan, M. J. Gutmann, V. V. Klekovkina, and B. Z. Malkin, Phys. Rev. B 91, 174416 (2015)

  47. [47]

    V. K. Anand, A. T. M. N. Islam, A. Samartzis, J. Xu, N. Casati, and B. Lake, J. Cryst. Growth 498, 124 (2018)

  48. [48]

    V. K. Anand , L. Opherden, J. Xu, D. T. Adroja, A. T. M. N. Islam, T. Herrmannsdörfer, J. Hornung, R. Schönemann, M. Uhlarz, H. C. Walker et al., Phys. Rev. B 94, 144415 (2016)

  49. [49]

    V. K. Anand, A. K. Bera, J. Xu, T. Herrmannsdörfer, C. Ritter, and B. Lake, Phys. Rev. B 92, 184418 (2015)

  50. [50]

    M. J. D. Rushton, R. W. Grimes, C. R. Stanek, and S. Owens, J. of Mater. Res. 19, 1603 (2004)

  51. [51]

    J. S. Gardner, B. D. Gaulin, A. J. Berlinsky, P. Waldron, S. R. Dunsiger, N. P. Raju, and J. E. Greedan, Phys. Rev. B 64, 224416 (2001)

  52. [52]

    Garbout, S

    A. Garbout, S. Bouattour, and A.W. Kolsi. J. Alloy Compd. 469, 229 (2009)

  53. [53]

    J. G. A. Ramon, MSc. Dissertation (Universidade de São Paulo, Brazil, 2015)

  54. [54]

    Rodríguez-Carvajal, Physica B 192, 55 (1993)

    J. Rodríguez-Carvajal, Physica B 192, 55 (1993)

  55. [55]

    Roisnel and J

    T. Roisnel and J. Rodríguez-Carvajal, Mater. Sci. Forum 378-381, 118 (2001)

  56. [56]

    A. J. Studer, M. E. Hagen1, T. J. Noakes, Physica B 385-386, 1013 (2006)

  57. [57]

    Fukazawa, R

    H. Fukazawa, R. G. Melko, R. Higashinaka, Y. Maeno, and M. J. P. Gingras, Phys. Rev. B 65, 054410 (2002)

  58. [58]

    L. R. Yaraskavitch, H. M. Revell, S. Meng, K. A. Ross, H. M. L. Noad, H. A. Dabkowska, B. D. Gaulin, and J. B. Kycia, Phys. Rev. B 85, 020410(R) (2012)

  59. [59]

    Henelius , T

    P. Henelius , T. Lin, M. Enjalran, Z. Hao, J. G. Rau, J. Altosaar, F. Flicker, T. Yavors’kii, and M. J. P. Gingras, Phys. Rev. B 93, 024402 (2016)

  60. [60]

    S. R. Giblin, M. Twengström, L. Bovo, M. Ruminy, M. Bartkowiak, P. Manuel, J. C. Andresen, D. Prabhakaran, G. Balakrishnan, E. Pomjakushina et al., Phys. Rev. Lett. 121, 067202 (2018)

  61. [61]

    W. F. Giauque and M. F. Ashley, Phys. Rev. 43, 81 (1993)

  62. [62]

    Guitteny, S

    S. Guitteny, S. Petit, E. Lhotel, J. Robert, P. Bonville, A. Forget, and I. Mirebeau, Phys. Rev. B 88, 134408 (2013)

  63. [63]

    Mirebeau, A

    I. Mirebeau, A. Apetrei, J. Rodríguez-Carvajal, P. Bonville, A. Forget, D. Colson, V. Glazkov, J. P. Sanchez, O. Isnard, and E. Suard, Phys. Rev. Lett. 94, 246402 (2005)

  64. [64]

    Ehlers, J

    G. Ehlers, J. E. Greedan, J. R. Stewart, K. C. Rule, P. Fouquet, A. L. Cornelius, C. Adriano, P. G. Pagliuso, Y. Qiu, and J. S. Gardner, Phys. Rev. B 81, 224405 (2010)

  65. [65]

    J. E. Greedan, J. N. Reimers, C. V. Stager, and S. L. Penny , Phys. Rev. B 43, 5682 (1991)

  66. [66]

    Apetrei, I

    A. Apetrei, I. Mirebeau, I. Goncharenko, D. Andreica, and P. Bonville, J. Phys: Cond. Matter 19, 145214 (2007)

  67. [67]

    H. D. Zhou, C. R. Wiebe, A. Harter, N. S. Dalal, and J. S. Gardner, J. Phys: Cond. Matter 20, 325201 (2008)

  68. [68]

    M. J. Harris, M. P. Zinkin, Z. Tun, B. M. Wanklyn, and I. P. Swainson, Phys. Rev. Lett. 73, 189 (1994)

  69. [69]

    Zaharko, V

    Shang Gao, O. Zaharko, V. Tsurkan, L. Prodan, E. Riordan, J. Lago, B. Fåk, A. R. Wildes, M. M. Koza, C. Ritter et al., Phys. Rev. Lett. 120, 137201 (2018). 69 G. C. Lau, R. S. Freitas, B. G. Ueland, P. Schiffer, and R. J. Cava, Phys. Rev. B 72, 054411 (2005)

  70. [70]

    Matsuhira, Y

    K. Matsuhira, Y. Hinatsu, K. Tenya, H. Amitsuka, and T. Sakakibara, J. Phys. Soc. Jpn. 71,1576 (2002)

  71. [71]

    M. C. Hatnean, M.R. Lees, and G. Balakrishnan, J. Cryst. Growth 418, 1 (2015)