DOI: 10.1007/bf01305191. On the behavior of static susceptibilities in spin glasses

On the behavior of static susceptibilities in spin glasses

10.1007/bf01305191

Crossref journal-article

Springer Science and Business Media LLC

Zeitschrift f�r Physik B Condensed Matter (297)

Bibliography

Binder, K. (1982). On the behavior of static susceptibilities in spin glasses. Zeitschrift Fï¿½r Physik B Condensed Matter, 48(4), 319â334.

Authors 1

K. Binder (first)

References 90 Referenced 70

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If [J ij ]av>0 the spin-glass order will compete with ferromagnetic long range order
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See e.g. Sect. 2.3.1. of Fischer, K.H.: Ref. 1; Elderfield, D., Sherrington, D.: Preprint
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See, for example, the data for the field-cooled magnetization shown in Fig. 2a of [28]. Also the susceptibility calculated in Fig. 12 of [27] atT?2/3T f is temperature-independent
In this example, as well as in the following, we use the exponent estimates appropriate for Heisenberg ferromagnetics ?=0.70, ?=1.38, ?=0.36, see Le Guillou, J.C., Zinn-Justin: Phys. Rev. B21, 3976 (1980) (10.1103/PhysRevB.21.3976) / Phys. Rev. B by J.C. Guillou Le (1980)
Maletta, H.: Private communication
Claus, H.: Private communication
I am indebted to W. Kinzel for pointing this argument out to me
In Ref. 7 numerical calculations based on the Sherrington-Kirkpatrick solution [2] were presented. This solution has a reentrant ferromagnetic phase boundary, and thus some qualitative similarity to the ?raw data? of the experiment was noted. Note, however, that this solution is incorrect, and the presumably correct [3] mean-field phase diagram does not show this reentrancy (Fig. 1C)
Schofield, P.: Phys. Rev. Lett.22, 606 (1969) (10.1103/PhysRevLett.22.606) / Phys. Rev. Lett. by P. Schofield (1969)
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see also Hertz, J.: Preprint; Hertz, J., Khurana, A., Rueskari, M.: Preprint
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Morgenstern, I.: Preprint
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Binder, K., Morgenstern, I.: (to be published); note that the analytic form of ? EA (T) asT?0 is rather uncertain, since the data of [4] are then hampered by finite-size effects
Chalupa, J.: Solid State Commun.24, 429 (1977) (10.1016/0038-1098(77)91310-2) / Solid State Commun. by J. Chalupa (1977)
Cragg, D.M., Sherrington, D., Gabay, M.: (to be published)
Moore, M.A., Bray, A.J.: J. Phys. C15, L301 (1982) (10.1088/0022-3719/15/10/008) / J. Phys. C by M.A. Moore (1982)
Gabay, M., Garel, T., Dominicis, C. de: (to be published)
Elderfield, D., Sherrington, D.: (to be published)
At this point, the correlation between the sign of ?S i x ? T in one of the frozen-in spin glass states and the sign ofJ ij xz is neglected. This should be reasonable for a system with dominantly diagonal exchange constants, due to superexchange as in Eu x Sr1?x S or Rudermann-Kittel interactions as in metallic spin glasses. The sign of ?S i x ? T then is in leading order due to the diagonal part
Imry, Y., Ma, S.-K.: Phys. Rev. Lett.35, 1399 (1979) (10.1103/PhysRevLett.35.1399) / Phys. Rev. Lett. by Y. Imry (1979)
see also Binder, K., Imry, Y., Pytte, E.: Phys. Rev. B24, 6736 (1981) and references therein (10.1103/PhysRevB.24.6736) / Phys. Rev. B by K. Binder (1981)
According to a different argument by Aharony, A.: Solid State Commun.28, 667 (1978); any random disorder in the Hamiltonian, Eq. (23), should destroy long-range ferromagnetic order. Additional cubic anisotropy terms restore ferromagnetic order, however, and may lead to a first-order transition, with a spin-glass state above it. However, experimental evidence for this mechanism seems to be lacking. (10.1016/0038-1098(78)90604-X) / Solid State Commun. by A. Aharony (1978)
Gebhardt, W., Kett, H., Krey, U.: (to be published)
Fisch, R., Harris, A.B.: Phys. Rev. Lett.38, 785 (1977) (10.1103/PhysRevLett.38.785) / Phys. Rev. Lett. by R. Fisch (1977)
Bray, A.J., Moore, M.A.: J. Phys. C12, 79 (1979) (10.1088/0022-3719/12/1/020) / J. Phys. C by A.J. Bray (1979)
Banavar, J.R., Cieplak, M.: Phys. Rev. Lett.82, 832 (1982) (10.1103/PhysRevLett.48.832) / Phys. Rev. Lett. by J.R. Banavar (1982)

Dates

Type	When
Created	20 years, 4 months ago (March 25, 2005, 4:22 a.m.)
Deposited	6 years, 3 months ago (April 30, 2019, 2:09 p.m.)
Indexed	2 months, 1 week ago (June 14, 2025, 10:23 a.m.)
Issued	42 years, 8 months ago (Dec. 1, 1982)
Published	42 years, 8 months ago (Dec. 1, 1982)
Published Print	42 years, 8 months ago (Dec. 1, 1982)

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BibTeX

@article{Binder_1982, title={On the behavior of static susceptibilities in spin glasses}, volume={48}, ISSN={1434-6036}, url={http://dx.doi.org/10.1007/bf01305191}, DOI={10.1007/bf01305191}, number={4}, journal={Zeitschrift f�r Physik B Condensed Matter}, publisher={Springer Science and Business Media LLC}, author={Binder, K.}, year={1982}, month=dec, pages={319–334} }

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      "volume-title": "Lecture Notes in Physics. Vol. 149",
      "author": "P. Monod",
      "year": "1981",
      "unstructured": "Monod, P., Bouchiat, H.: In: Lecture Notes in Physics. Vol. 149, p. 118. (Berlin, Heidelberg, New York, Springer 1981); J. Phys. Lett. (Paris)43, L45 (1982)"
    },
    {
      "key": "CR15",
      "doi-asserted-by": "crossref",
      "first-page": "2884",
      "DOI": "10.1143/JPSJ.50.2884",
      "volume": "50",
      "author": "S. Chikazawa",
      "year": "1981",
      "unstructured": "Chikazawa, S., Sandberg, C.J., Miyako, Y.: J. Phys. Soc. Jpn.50, 2884 (1981)",
      "journal-title": "J. Phys. Soc. Jpn."
    },
    {
      "key": "CR16",
      "doi-asserted-by": "crossref",
      "first-page": "335",
      "DOI": "10.1143/JPSJ.47.335",
      "volume": "47",
      "author": "S. Chikazawa",
      "year": "1979",
      "unstructured": "Chikazawa, S., Saito, I., Miyako, Y.: J. Phys. Soc. Jpn.47, 335 (1979)",
      "journal-title": "J. Phys. Soc. Jpn."
    },
    {
      "key": "CR17",
      "unstructured": "If [J ij ]av>0 the spin-glass order will compete with ferromagnetic long range order"
    },
    {
      "key": "CR18",
      "unstructured": "Bray, A.J., Moore, M.A.: J. Phys. C (1982)"
    },
    {
      "key": "CR19",
      "doi-asserted-by": "crossref",
      "first-page": "241",
      "DOI": "10.1016/0022-3697(58)90076-3",
      "volume": "4",
      "author": "I.E. Dzyaloshinskii",
      "year": "1958",
      "unstructured": "Dzyaloshinskii, I.E.: J. Phys. Chem. Solids4, 241 (1958)",
      "journal-title": "J. Phys. Chem. Solids"
    },
    {
      "key": "CR20",
      "doi-asserted-by": "crossref",
      "first-page": "51",
      "DOI": "10.1103/PhysRevLett.4.228",
      "volume": "4",
      "author": "T. Moriya",
      "year": "1960",
      "unstructured": "Moriya, T.: Phys. Rev. Lett.4, 51 (1960)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR21",
      "doi-asserted-by": "crossref",
      "first-page": "4667",
      "DOI": "10.1103/PhysRevB.23.4667",
      "volume": "20",
      "author": "P.M. Levy",
      "year": "1981",
      "unstructured": "Levy, P.M., Fert, A.: Phys. Rev. B20, 4667 (1981)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR22",
      "doi-asserted-by": "crossref",
      "first-page": "1245",
      "DOI": "10.1103/PhysRevB.20.1245",
      "volume": "20",
      "author": "H. Maletta",
      "year": "1979",
      "unstructured": "Maletta, H., Felsch, W.: Phys. Rev. B20, 1245 (1979)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR23",
      "volume-title": "Excitations in disordered systems",
      "author": "H. Maletta",
      "year": "1982",
      "unstructured": "Maletta, H.: In: Excitations in disordered systems. New York: Plenum Press 1982"
    },
    {
      "key": "CR24",
      "doi-asserted-by": "crossref",
      "first-page": "1490",
      "DOI": "10.1103/PhysRevLett.48.1490",
      "volume": "48",
      "author": "H. Maletta",
      "year": "1982",
      "unstructured": "Maletta, H., Aeppli, C., Shapiro, S.M.: Phys. Rev. Lett.48, 1490 (1982)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR25",
      "doi-asserted-by": "crossref",
      "first-page": "201",
      "DOI": "10.1103/PhysRevLett.47.201",
      "volume": "47",
      "author": "M. Gabay",
      "year": "1981",
      "unstructured": "Gabay, M., Toulouse, G.: Phys. Rev. Lett.47, 201 (1981)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR26",
      "first-page": "1381",
      "volume": "23",
      "author": "C.A.M. Mulder",
      "year": "1981",
      "unstructured": "Mulder, C.A.M., Duyneveldt, A.J. van, Mydosh, J.A.: Phys. Rev. B23, 1381 (1981)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR27",
      "first-page": "99",
      "volume": "5",
      "author": "L. N\u00e9el",
      "year": "1949",
      "unstructured": "N\u00e9el, L.: Ann. Geophys.5, 99 (1949)",
      "journal-title": "Ann. Geophys."
    },
    {
      "key": "CR28",
      "first-page": "C4",
      "volume": "35",
      "author": "J.L. Tholence",
      "year": "1974",
      "unstructured": "Tholence, J.L., Tournier, R.: J. Phys.35, C4?229 (1974)",
      "journal-title": "J. Phys."
    },
    {
      "key": "CR29",
      "first-page": "339",
      "volume": "26",
      "author": "K. Binder",
      "year": "1977",
      "unstructured": "Binder, K.: Z. Phys. B-Condensed Matter26, 339 (1977) Festk\u00f6rperprobleme. Treusch, J. (ed.), Vol. XVII, p. 55. Braunschweig: Vieweg 1977",
      "journal-title": "Z. Phys. B-Condensed Matter"
    },
    {
      "key": "CR30",
      "doi-asserted-by": "crossref",
      "first-page": "965",
      "DOI": "10.1088/0305-4608/5/5/017",
      "volume": "5",
      "author": "S.F. Edwards",
      "year": "1975",
      "unstructured": "Edwards, S.F., Anderson, P.W.: J. Phys. F5, 965 (1975)",
      "journal-title": "J. Phys. F"
    },
    {
      "key": "CR31",
      "first-page": "7310",
      "volume": "50",
      "author": "J.L. Tholence",
      "year": "1979",
      "unstructured": "Tholence, J.L.: J. Appl. Phys.50, 7310 (1979); Solid State Commun.35, 113 (1980)",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "CR32",
      "first-page": "467",
      "volume": "85A",
      "author": "E.P. Wohlfarth",
      "year": "1981",
      "unstructured": "Wohlfarth, E.P., Shtrikman, S.: Phys. Lett.85A, 467 (1981)",
      "journal-title": "Phys. Lett."
    },
    {
      "key": "CR33",
      "doi-asserted-by": "crossref",
      "first-page": "339",
      "DOI": "10.1111/j.1151-2916.1925.tb16731.x",
      "volume": "8",
      "author": "G.I. Fulcher",
      "year": "1925",
      "unstructured": "Fulcher, G.I.: J. Am. Ceram. Soc.8, 339 (1925); 789 (1925)",
      "journal-title": "J. Am. Ceram. Soc."
    },
    {
      "key": "CR34",
      "doi-asserted-by": "crossref",
      "first-page": "339",
      "DOI": "10.1016/0375-9601(80)90365-5",
      "volume": "79A",
      "author": "M. Guyot",
      "year": "1980",
      "unstructured": "Guyot, M., Foner, S., Hasanain, S.K., Guertin, R.P., Westerholt, K.: Phys. Lett.79A, 339 (1980)",
      "journal-title": "Phys. Lett."
    },
    {
      "key": "CR35",
      "doi-asserted-by": "crossref",
      "first-page": "2142",
      "DOI": "10.1103/PhysRevB.14.2142",
      "volume": "14",
      "author": "K. Binder",
      "year": "1976",
      "unstructured": "Binder, K., Schr\u00f6der, K.: Phys. Rev. B14, 2142 (1976), and [22]",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR36",
      "first-page": "4594",
      "volume": "19",
      "author": "W. Kinzel",
      "year": "1979",
      "unstructured": "Kinzel, W.: Phys. Rev. B19, 4594 (1979)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR37",
      "doi-asserted-by": "crossref",
      "first-page": "4053",
      "DOI": "10.1103/PhysRevB.13.4053",
      "volume": "13",
      "author": "L.E. Wenger",
      "year": "1976",
      "unstructured": "Wenger, L.E., Keesom, P.H.: Phys. Rev. B13, 4053 (1976)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR38",
      "doi-asserted-by": "crossref",
      "first-page": "102",
      "DOI": "10.1103/PhysRevLett.44.102",
      "volume": "44",
      "author": "D. Meschede",
      "year": "1980",
      "unstructured": "Meschede, D., Steglich, F., Felsch, W., Maletta, H., Zinn, W.: Phys. Rev. Lett.44, 102 (1980)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR39",
      "doi-asserted-by": "crossref",
      "first-page": "423",
      "DOI": "10.1007/978-1-4684-3626-6_30",
      "volume-title": "Ordering in strongly fluctuating condensed matter systems",
      "author": "K. Binder",
      "year": "1980",
      "unstructured": "Binder, K.: In: Ordering in strongly fluctuating condensed matter systems. Riste, T. (ed.), p. 423. New York: Plenum Press 1980"
    },
    {
      "key": "CR40",
      "doi-asserted-by": "crossref",
      "first-page": "1098",
      "DOI": "10.1103/PhysRevLett.40.1098",
      "volume": "40",
      "author": "R.B. Kummer",
      "year": "1978",
      "unstructured": "Kummer, R.B., Walstedt, R.E., Geschwind, S., Narayanamurti, V., Devlin, G.E.: Phys. Rev. Lett.40, 1098 (1978); J. Appl. Phys.50, 1700 (1979)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR41",
      "doi-asserted-by": "crossref",
      "first-page": "244",
      "DOI": "10.1103/PhysRevB.24.244",
      "volume": "24",
      "author": "K. Andres",
      "year": "1981",
      "unstructured": "Andres, K., Bhatt, R.N., Goalwin, P., Rice, T.M., Walstedt, R.E.: Phys. Rev. B24, 244 (1981)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR42",
      "doi-asserted-by": "crossref",
      "first-page": "1703",
      "DOI": "10.1063/1.329684",
      "volume": "52",
      "author": "R.N. Bhatt",
      "year": "1981",
      "unstructured": "Bhatt, R.N., Lee, P.A.: J. Appl. Phys.52, 1703 (1981); Phys. Rev. Lett.48, 344 (1982)",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "CR43",
      "doi-asserted-by": "crossref",
      "first-page": "2701",
      "DOI": "10.1103/PhysRevB.24.2701",
      "volume": "24",
      "author": "W. Kinzel",
      "year": "1981",
      "unstructured": "Kinzel, W., Binder, K.: Phys. Rev. B24, 2701 (1981)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR44",
      "doi-asserted-by": "crossref",
      "first-page": "108",
      "DOI": "10.1103/PhysRevLett.42.108",
      "volume": "42",
      "author": "H. Maletta",
      "year": "1979",
      "unstructured": "Maletta, H., Convert, P.: Phys. Rev. Lett.42, 108 (1979)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR45",
      "doi-asserted-by": "crossref",
      "first-page": "L447",
      "DOI": "10.1051/jphyslet:019800041018044700",
      "volume": "41",
      "author": "G. Toulouse",
      "year": "1980",
      "unstructured": "Toulouse, G.: J. Phys. Lett. (Paris)41, L447 (1980)",
      "journal-title": "J. Phys. Lett. (Paris)"
    },
    {
      "key": "CR46",
      "doi-asserted-by": "crossref",
      "first-page": "983",
      "DOI": "10.1088/0305-4470/11/5/028",
      "volume": "11",
      "author": "J.R. Almeida de",
      "year": "1978",
      "unstructured": "Almeida, J.R. de, Thouless, D.J.: J. Phys. A11, 983 (1978)",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "CR47",
      "doi-asserted-by": "crossref",
      "first-page": "2290",
      "DOI": "10.1103/PhysRevB.23.2290",
      "volume": "23",
      "author": "P.A. Beck",
      "year": "1981",
      "unstructured": "Beck, P.A.: Phys. Rev. B23, 2290 (1981); Prog. Mater. Sci.23, 1 (1978); In: Liquid and amorphous metals. p. 545. L\u00fcscher, E., Coufal, H. (eds.). Alphen van den Rijn, Holland: Sijthoff and Noordhoff 1980",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR48",
      "doi-asserted-by": "crossref",
      "first-page": "L103",
      "DOI": "10.1051/jphyslet:01981004205010300",
      "volume": "42",
      "author": "G. Toulouse",
      "year": "1981",
      "unstructured": "Toulouse, G., Gabay, M.: J. Phys. Lett.42, L103 (1981)",
      "journal-title": "J. Phys. Lett."
    },
    {
      "key": "CR49",
      "doi-asserted-by": "crossref",
      "first-page": "L109",
      "DOI": "10.1051/jphyslet:01982004304010900",
      "volume": "43",
      "author": "G. Toulouse",
      "year": "1982",
      "unstructured": "Toulouse, G., Gabay, M., Lubensky, T.C., Vannimenus, J.: J. Phys. Lett.43, L109 (1982)",
      "journal-title": "J. Phys. Lett."
    },
    {
      "key": "CR50",
      "unstructured": "See e.g. Sect. 2.3.1. of Fischer, K.H.: Ref. 1; Elderfield, D., Sherrington, D.: Preprint"
    },
    {
      "key": "CR51",
      "doi-asserted-by": "crossref",
      "first-page": "3837",
      "DOI": "10.1103/PhysRevB.20.3837",
      "volume": "20",
      "author": "C. Dasgupta",
      "year": "1979",
      "unstructured": "Dasgupta, C., Ma, S.-K., Hu, C.-K.: Phys. Rev. B20, 3837 (1979)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR52",
      "doi-asserted-by": "crossref",
      "first-page": "1633",
      "DOI": "10.1103/PhysRevB.19.1633",
      "volume": "19",
      "author": "S. Nagata",
      "year": "1979",
      "unstructured": "Nagata, S., Keesom, P.H., Harrison, H.R.: Phys. Rev. B19, 1633 (1979)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR53",
      "unstructured": "See, for example, the data for the field-cooled magnetization shown in Fig. 2a of [28]. Also the susceptibility calculated in Fig. 12 of [27] atT?2/3T f is temperature-independent"
    },
    {
      "key": "CR54",
      "doi-asserted-by": "crossref",
      "first-page": "3976",
      "DOI": "10.1103/PhysRevB.21.3976",
      "volume": "21",
      "author": "J.C. Guillou Le",
      "year": "1980",
      "unstructured": "In this example, as well as in the following, we use the exponent estimates appropriate for Heisenberg ferromagnetics ?=0.70, ?=1.38, ?=0.36, see Le Guillou, J.C., Zinn-Justin: Phys. Rev. B21, 3976 (1980)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR55",
      "unstructured": "Maletta, H.: Private communication"
    },
    {
      "key": "CR56",
      "unstructured": "Claus, H.: Private communication"
    },
    {
      "key": "CR57",
      "unstructured": "I am indebted to W. Kinzel for pointing this argument out to me"
    },
    {
      "key": "CR58",
      "unstructured": "In Ref. 7 numerical calculations based on the Sherrington-Kirkpatrick solution [2] were presented. This solution has a reentrant ferromagnetic phase boundary, and thus some qualitative similarity to the ?raw data? of the experiment was noted. Note, however, that this solution is incorrect, and the presumably correct [3] mean-field phase diagram does not show this reentrancy (Fig. 1C)"
    },
    {
      "key": "CR59",
      "doi-asserted-by": "crossref",
      "first-page": "606",
      "DOI": "10.1103/PhysRevLett.22.606",
      "volume": "22",
      "author": "P. Schofield",
      "year": "1969",
      "unstructured": "Schofield, P.: Phys. Rev. Lett.22, 606 (1969)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR60",
      "doi-asserted-by": "crossref",
      "first-page": "1098",
      "DOI": "10.1103/PhysRevLett.23.1098",
      "volume": "23",
      "author": "P. Schofield",
      "year": "1969",
      "unstructured": "Schofield, P., Litster, J.D., Ho, J.T.: Phys. Rev. Lett.23, 1098 (1969)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR61",
      "doi-asserted-by": "crossref",
      "first-page": "811",
      "DOI": "10.1103/PhysRevLett.45.811",
      "volume": "45",
      "author": "K. Binder",
      "year": "1981",
      "unstructured": "Binder, K.: Phys. Rev. Lett.45, 811 (1981)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR62",
      "doi-asserted-by": "crossref",
      "first-page": "1655",
      "DOI": "10.1016/0001-6160(81)90048-1",
      "volume": "29",
      "author": "K. Binder",
      "year": "1981",
      "unstructured": "Binder, K., Lebowitz, J.L., Phani, M.K., Kalos, M.H.: Acta Met.29, 1655 (1981)",
      "journal-title": "Acta Met."
    },
    {
      "key": "CR63",
      "doi-asserted-by": "crossref",
      "first-page": "61",
      "DOI": "10.1007/BF01294277",
      "volume": "45",
      "author": "K. Binder",
      "year": "1981",
      "unstructured": "Binder, K.: Z. Phys. B-Condensed Matter45, 61 (1981)",
      "journal-title": "Z. Phys. B-Condensed Matter"
    },
    {
      "key": "CR64",
      "doi-asserted-by": "crossref",
      "first-page": "177",
      "DOI": "10.1016/0375-9601(76)90206-1",
      "volume": "57A",
      "author": "K. Binder",
      "year": "1976",
      "unstructured": "Binder, K., Stauffer, D.: Phys. Lett.57A, 177 (1976)",
      "journal-title": "Phys. Lett."
    },
    {
      "key": "CR65",
      "first-page": "313",
      "volume": "30",
      "author": "D. Stauffer",
      "year": "1978",
      "unstructured": "Stauffer, D., Binder, K.: Z. Phys. B-Condensed Matter30, 313 (1978)",
      "journal-title": "Z. Phys. B-Condensed Matter"
    },
    {
      "key": "CR66",
      "doi-asserted-by": "crossref",
      "first-page": "3423",
      "DOI": "10.1103/PhysRevB.8.3423",
      "volume": "8",
      "author": "K. Binder",
      "year": "1973",
      "unstructured": "Binder, K.: Phys. Rev. B8, 3423 (1973)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR67",
      "doi-asserted-by": "crossref",
      "first-page": "62",
      "DOI": "10.1007/978-3-642-68038-0_7",
      "volume-title": "Stochastic nonlinear systems in physics, chemistry and biology",
      "author": "K. Binder",
      "year": "1981",
      "unstructured": "Binder, K.: In: Stochastic nonlinear systems in physics, chemistry and biology. Arnold, L., Lefever, R. (eds.), p. 62. Berlin, Heidelberg, New York: Springer 1981"
    },
    {
      "key": "CR68",
      "doi-asserted-by": "crossref",
      "first-page": "211",
      "DOI": "10.1007/BF01019851",
      "volume": "3",
      "author": "O. Penrose",
      "year": "1971",
      "unstructured": "Penrose, O., Lebowitz, J.L.: J. Statist. Phys.3, 211 (1971)",
      "journal-title": "J. Statist. Phys."
    },
    {
      "key": "CR69",
      "doi-asserted-by": "crossref",
      "first-page": "61",
      "DOI": "10.1016/0031-8914(74)90226-2",
      "volume": "73",
      "author": "J.S. Langer",
      "year": "1974",
      "unstructured": "Langer, J.S.: Physica73, 61 (1974)",
      "journal-title": "Physica"
    },
    {
      "key": "CR70",
      "doi-asserted-by": "crossref",
      "first-page": "935",
      "DOI": "10.1103/PhysRevLett.47.935",
      "volume": "47",
      "author": "H. Sompolinsky",
      "year": "1981",
      "unstructured": "Sompolinsky, H.: Phys. Rev. Lett.47, 935 (1981)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR71",
      "unstructured": "see also Hertz, J.: Preprint; Hertz, J., Khurana, A., Rueskari, M.: Preprint"
    },
    {
      "key": "CR72",
      "doi-asserted-by": "crossref",
      "first-page": "L1085",
      "DOI": "10.1088/0022-3719/14/34/004",
      "volume": "14",
      "author": "A.P. Young",
      "year": "1981",
      "unstructured": "Young, A.P.: J. Phys. C14, L1085 (1981)",
      "journal-title": "J. Phys. C"
    },
    {
      "key": "CR73",
      "doi-asserted-by": "crossref",
      "first-page": "301",
      "DOI": "10.1103/PhysRevLett.49.301",
      "volume": "49",
      "author": "N.D. Mackenzie",
      "year": "1982",
      "unstructured": "Mackenzie, N.D., Young, A.P.: Phys. Rev. Lett.49, 301 (1982)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR74",
      "doi-asserted-by": "crossref",
      "first-page": "504",
      "DOI": "10.1103/PhysRevB.25.504",
      "volume": "25",
      "author": "I. Morgenstern",
      "year": "1982",
      "unstructured": "Morgenstern, I., Horner, H.: Phys. Rev. B25, 504 (1982)",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR75",
      "unstructured": "Morgenstern, I.: Preprint"
    },
    {
      "key": "CR76",
      "doi-asserted-by": "crossref",
      "first-page": "315",
      "DOI": "10.1016/0038-1098(77)91439-9",
      "volume": "22",
      "author": "J. Chalupa",
      "year": "1977",
      "unstructured": "Chalupa, J.: Solid State Commun.22, 315 (1977)",
      "journal-title": "Solid State Commun."
    },
    {
      "key": "CR77",
      "unstructured": "Binder, K., Morgenstern, I.: (to be published); note that the analytic form of ? EA (T) asT?0 is rather uncertain, since the data of [4] are then hampered by finite-size effects"
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      "doi-asserted-by": "crossref",
      "first-page": "429",
      "DOI": "10.1016/0038-1098(77)91310-2",
      "volume": "24",
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      "journal-title": "Solid State Commun."
    },
    {
      "key": "CR79",
      "unstructured": "Cragg, D.M., Sherrington, D., Gabay, M.: (to be published)"
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      "doi-asserted-by": "crossref",
      "first-page": "L301",
      "DOI": "10.1088/0022-3719/15/10/008",
      "volume": "15",
      "author": "M.A. Moore",
      "year": "1982",
      "unstructured": "Moore, M.A., Bray, A.J.: J. Phys. C15, L301 (1982)",
      "journal-title": "J. Phys. C"
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    {
      "key": "CR81",
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    },
    {
      "key": "CR82",
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    {
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      "unstructured": "At this point, the correlation between the sign of ?S i x ? T in one of the frozen-in spin glass states and the sign ofJ ij xz is neglected. This should be reasonable for a system with dominantly diagonal exchange constants, due to superexchange as in Eu x Sr1?x S or Rudermann-Kittel interactions as in metallic spin glasses. The sign of ?S i x ? T then is in leading order due to the diagonal part"
    },
    {
      "key": "CR84",
      "doi-asserted-by": "crossref",
      "first-page": "1399",
      "DOI": "10.1103/PhysRevLett.35.1399",
      "volume": "35",
      "author": "Y. Imry",
      "year": "1979",
      "unstructured": "Imry, Y., Ma, S.-K.: Phys. Rev. Lett.35, 1399 (1979)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR85",
      "doi-asserted-by": "crossref",
      "first-page": "6736",
      "DOI": "10.1103/PhysRevB.24.6736",
      "volume": "24",
      "author": "K. Binder",
      "year": "1981",
      "unstructured": "see also Binder, K., Imry, Y., Pytte, E.: Phys. Rev. B24, 6736 (1981) and references therein",
      "journal-title": "Phys. Rev. B"
    },
    {
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      "doi-asserted-by": "crossref",
      "first-page": "667",
      "DOI": "10.1016/0038-1098(78)90604-X",
      "volume": "28",
      "author": "A. Aharony",
      "year": "1978",
      "unstructured": "According to a different argument by Aharony, A.: Solid State Commun.28, 667 (1978); any random disorder in the Hamiltonian, Eq. (23), should destroy long-range ferromagnetic order. Additional cubic anisotropy terms restore ferromagnetic order, however, and may lead to a first-order transition, with a spin-glass state above it. However, experimental evidence for this mechanism seems to be lacking.",
      "journal-title": "Solid State Commun."
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      "doi-asserted-by": "crossref",
      "first-page": "785",
      "DOI": "10.1103/PhysRevLett.38.785",
      "volume": "38",
      "author": "R. Fisch",
      "year": "1977",
      "unstructured": "Fisch, R., Harris, A.B.: Phys. Rev. Lett.38, 785 (1977)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR89",
      "doi-asserted-by": "crossref",
      "first-page": "79",
      "DOI": "10.1088/0022-3719/12/1/020",
      "volume": "12",
      "author": "A.J. Bray",
      "year": "1979",
      "unstructured": "Bray, A.J., Moore, M.A.: J. Phys. C12, 79 (1979)",
      "journal-title": "J. Phys. C"
    },
    {
      "key": "CR90",
      "doi-asserted-by": "crossref",
      "first-page": "832",
      "DOI": "10.1103/PhysRevLett.48.832",
      "volume": "82",
      "author": "J.R. Banavar",
      "year": "1982",
      "unstructured": "Banavar, J.R., Cieplak, M.: Phys. Rev. Lett.82, 832 (1982)",
      "journal-title": "Phys. Rev. Lett."
    }
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