References
- O.Kahn, Molecular Magnetism, VCH Publishers, New York (1993).
- J.H. Van Vleck. The Theory of Electric and Magnetic Susceptibilities, Oxford University Press, London (1932).
- A.H. Morrish. The Physical Principles of Magnetism, IEEE Press, New York (2001).
- D.H. Martin. Magnetism in Solids, MIT Press, Cambridge Massachusetts (1967).
- P.W. Selwood. Magnetochemistry, 2nd Edn, Interscience Publishers, New York (1956).
- J. Crangle. Solid State Magnetism, Van Nostrand Reinhold, New York (1991).
- S. Chikazumi. Physics of Ferromagnetism, 2nd Edn, Oxford University Press, Oxford (1997).
- S. Blundell. Magnetism in Condensed Matter, Oxford University Press, Oxford (2001).
- A.F. Orchard. Magnetochemistry, Oxford University Press, Oxford (2003).
- L.J. De Jongh, A.R. Miedema. Adv. Phys., 23, 1 (1974); Republished Adv. Phys., 50, 947 (2001)
- L.J. de Jongh (Ed.). Magnetic Properties of Layered Transition Metal Compounds, Kluwer Academic Publishers, Dordrecht (1990).
- A. Earnshaw. Introduction to Magnetochemistry, Academic Press, London (1968).
- A. Thompson, B.N. Taylor, Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edn. Available online at: www.nist.gov
- (a) T.I. Quickenden, R. Marshall. J. Chem. Ed., 49, 114 (1979); (b) S. Hatscher, H. Schilder, H. Lueken, W. Urland. Pure. Appl. Chem., 77, 497 (2005).
- R. Kuhlman, G.L. Schimek, J.W. Kolis. Polyhedron, 18, 1379 (1999).
- F. Xiao, M.M. Turnbull, C.P. Landee (in press).
- A.M. Ako, I.J. Hewitt, V. Mereacre, R. Clérac, W. Wernsdorfer, C.E. Anson, A.K. Powell. Angew. Chem. Inter. Ed., 45, 4926 (2006).
- P. Weiss. J. Physique, 6, 667 (1907).
- J.S. Smart. Effective Field Theories of Magnetism, Saunders, Philadelphia, PA (1966).
- J.A. Schlueter, H. Park, G.J. Halder, W.R. Armand, C. Dunmars, K.W. Chapman, J.L. Manson, J. Singleton, R. McDonald, A. Plonczak, J. Kang, C. Lee, M.-H. Whangbo, T. Lancaster, A.J. Steele, I. Franke, J.D. Wright, S.J. Blundell, F.L. Pratt, J. de George, M.M. Turnbull, C.P. Landee. Inorg. Chem., 51, 2121 (2012).
- J.H. Van Vleck. Physica, 69, 177 (1973).
- T. Lis. Acta Crystal. B, 36, 2042 (1980).
- R. Sessoli, H.L. Tsai, A.R. Schake, S. Wang, J.B. Vincent, K. Folting, D. Gatteschi, G. Christou, D.N. Hendrickson. J. Am. Chem. Soc., 115, 1804 (1993).
- Recent review articles: (a) S. Hill, S. Datta, J. Liu, R. Inglis, C.J. Milios, P.L. Feng, J.J. Henderson, E. del Barco, E.K. Brechin, D.N. Hendrickson. Dalton Trans., 39, 4693 (2010); (b) T.C. Stamatatos, C.G. Efthymiou, C.C. Stoumpos, S.P. Perlepes. Eur. J. Inorg. Chem., 2009, 3361 (2009); (c) T.C. Stamatatos, G. Christou. Inorg. Chem., 48, 3308 (2009); (d) O. Roubeau, R. Clerac. Eur. J. Inorg. Chem., 28, 4325 (2008); (e) K.E. Vostrikova. Coord. Chem. Rev., 252, 1409 (2008); (f) H. Oshio, M. Nihei. Bull. Chem. Soc. Jpn., 80, 608 (2007); (g) P. Przychodzen, T. Korzeniak, R. Podgajny, B. Sieklucka. Coord. Chem. Rev., 250, 2234 (2006); (h) E.K. Brechin. Chem. Commun., 41, 5141 (2005).
- Recent books on molecular magnets: (a) M.M. Turnbull, T. Sugimoto, L.K. Thompson (Eds.). Molecular-based Magnetic Materials: Theory, Techniques, and Applications, American Chemical Society, Washington, DC (1996); (b) K. Itoh, M. Kinoshita (Eds.). Molecular Magnetism: New Magnetic Materials, copublished by Kodansha LTD (Tokyo) and Gordon and Breach, Amsterdam (2000); (c) D. Gatteschi, R. Sessoli, J. Villain. Molecular Nanomagnets, Oxford University Press, Oxford (2006); (d) R. Winpenny (Ed.). Molecular Cluster Magnets, World Scientific Publishing, Singapore (2012).
- Recent book chapters on molecular magnets: (a) J.R. Long. In Chemistry of Nanostructured Materials, P. Yang (Ed.), pp. 291–315, World Scientific Publishing, Hong Kong (2003); (b) M. Baumgarten. In EPR of free radicals in solids, Trends in methods and application, A. Lund, M. Shiotani (Eds), pp. 491–528, Kluwer, Dordrecht (2003/2004); (c) T. Takui, H. Matsuoka, K. Furukawa, S. Nakazawa, K. Sato, D. Shiomi. In EPR of free radicals in solids, Trends in methods and application, A. Lund, M. Shiotani (Eds), pp. 407–490, Kluwer, Dordrecht (2003/2004); (d) N. Robertson, G.T. Yee. In Molecular Materials, D.W. Bruce, D. O’Hare, R.I. Walton (Eds), pp. 143–210, Wiley, Chichester (2010).
- A.F. Albuquerque, F. Alet, P. Corboz, P. Dayal, A. Feiguin, S. Fuchs, L. Gamper, E. Gull, S. Guertler, A. Honecker, R. Igarashi, M. Koerner, A. Kozhevnikov, A. Laeuchli, S.R. Manmana, M. Matsumoto, I.P. McCulloch, F. Michel, R.M. Noack, G. Pawlowski, L. Pollet, T. Pruschke, U. Schollwock, S. Todo, S. Trebst, M. Troyer, P. Werner, S. Wessel. The ALPS project release 1.3: open source software for strongly correlated systems. arXiv:0801.1765
- C. Yasuda, S. Todo, K. Hukushima, F. Alet, M. Keller, M. Troyer, H. Takayama. Phys. Rev. Lett., 94, 217201 (2005).
- (a) A. Santoro, A.D. Mighell, C.W. Reimann. Acta Cryst. B, 26, 9979 (1970); (b) P.R. Hammar, M.B. Stone, D.H. Reich, C. Broholm, P.J. Gibson, M.M. Turnbull, C.P. Landee, M. Oshikawa. Phys. Rev. B, 59, 1008 (1999).
- (a) B. Morosin. Acta Cryst. B, 31, 632 (1975); (b) W. Duffy Jr, J.E. Venneman, D.L. Strandburg, P.M. Richards. Phys. Rev. B, 9, 2220 (1974).
- D.C. Johnston, R.K. Kremer, M. Troyer, X. Wang, A. Klümper, S.L. Bud’ko, A.F. Panchula, P.C. Canfield. Phys. Rev. B, 61, 9558 (2000).
- J.C. Bonner, M.E. Fisher. Phys. Rev., 135, A 640 (1964).
- (a) C.P. Landee, R.D. Willett. Phys. Rev. Lett., 43, 463–466 (1979); (b) D.D. Swank, C.P. Landee, R.D. Willett. Phys. Rev. B, 20, 2154 (1979).
- (a) M. Takahashi. Phys. Rev. Lett., 58, 168 (1987); (b) J. Oitmaa, E. Bornilla. Phys. Rev. B, 53, 14228 (1996).
- (a) A.P. Ramirez. Ann. Rev. Mater. Sci., 24, 453–480 (1994); (b) H.T. Diep (Ed.). Frustrated Spin Systems, World Scientific, Singapore (2004); (c) C. LaCroix, P. Mendels, F. Mila (Eds). Introduction to Frustrated Magnetism: Materials, Experiments, Theory, Springer, Berlin (2011).
- R.J. Birgeneau. Am. J. Phys., 58, 17 (1990) and references therein.
- (a) E. Manousakis. Rev. Mod. Phys., 63, 1 (1991); (b) J.-K. Kim, M. Troyer. Phys. Rev. Lett., 80, 2705 (1998).
- F.M. Woodward, A.S. Albrecht, C.M. Wynn, C.P. Landee, M.M. Turnbull. Phys. Rev. B, 65, 144412 (2002). The expression in this paper was in error by failing to include the factor of one that is added to the ratio of the sums.
- J. Darriet, M.S. Haddad, E.N. Duesler, D.N. Hendrickson. Inorg. Chem., 18, 2679 (1979).
- F.M. Woodward, P.J. Gibson, G. Jameson, C.P. Landee, M.M. Turnbull, R.D. Willett. Inorg. Chem., 46, 4256 (2007).
- F. Xiao, F.M. Woodward, C.P. Landee, M.M. Turnbull, C. Mielke, N. Harrison, T. Lancaster, S.J. Blundell, P.J. Baker, P. Babkevich, F.L. Pratt. Phys. Rev. B, 79, 134412 (2009).
- F.M. Woodward, C.P. Landee, J. Giantsidis, M.M. Turnbull, C. Richardson. Inorg. Chim. Acta, 324, 324 (2001).
- F.M. Woodward, A.S. Albrecht, C.M. Wynn, C.P. Landee, M.M. Turnbull. Phys. Rev. B, 65, 144412 (2002).
- R.T. Butcher, M.M. Turnbull, C.P. Landee, A. Shapiro, F. Xiao, D. Garrett, W.T. Robinson, B. Twamley. Inorg. Chem., 49, 427 (2010).
- M.M. Turnbull, C.P. Landee, B.M. Wells. Coord. Chem. Rev., 249, 2567–2576 (2005).
- J. Oitmass, E. Bornilla. Phys. Rev. B, 53, 14228 (1996).
- M. Takahashi. Phys. Rev. Lett., 58, 168 (1987).
- T. Fetzer, A. Lentz, T. Debaerdemaeker. Z. Naturforsch., B: Chem. Sci., 44, 553 (1989).
- B.C. Keith, C.P. Landee, T. Valleau, M.M. Turnbull, N. Harrison. Phys. Rev. B, 84, 104442 (2011). Erratum: Phys. Rev. B, 84, 229901 (2011).
- J.J. Borrás-Almenar, E. Coronado, J. Curely, R. Georges. Inorg. Chem., 34, 2699 (1995).
- M. Hase, I. Terasaki, K. Uchinokura. Phys. Rev. Lett., 70, 3651 (1993).
- J.L. Musfeldt, In Magnetism: Molecules to Materials I: Models and Experiments, J.S. Miller, M. Drillon (Eds), Wiley-VCH Verlag GmbH & Co. KGaA, pp. 90–135, Weinheim (2002).
- (a) S.A. Roberts, D.R. Bloomquist, R.D. Willett, H.W. Dodgen. J. Am. Chem. Soc., 103, 2603 (1981); (b) H. Manaka, I. Yamada, K. Yamaguchi. J. Phys. Soc. Jpn., 66, 564 (1997).
- (a) J.J. Borrás-Almenar, E. Coronado, J. Curely, R. Georges, J.C. Gianduzzo. Inorg. Chem., 33, 5171 (1994); (b) R. Georges, J.J. Borrás-Almenar, E. Coronado, J. Curély, M. Drillon. In Magnetism: Molecules to Materials I: Models and Experiments, J.S. Miller, M. Drillon (Eds), Wiley-VCH Verlag GmbH & Co. KGaA, pp. 1–47, Weinheim (2002).
- (a) M. Julve, F. Lloret, J. Faus, G. De Munno, M. Verdaguer, A. Caneschi. Angew. Chem. Int. Ed. Eng., 32, 1046 (1993); (b) G. De Munno, M. Julve, F. Lloret, J. Faus, M. Verdaguer. A. Caneschi, Inorg. Chem., 34, 157 (1995).
- E. Dagotto, T.M. Rice. Science, 271, 618 (1996).
- T. Barnes, E. Dagotto, J. Riera, E.S. Swanson. Phys. Rev. B, 47, 3196 (1993).
- D.C. Johnston, M. Troyer, S. Miyahara, D. Lidsky, K. Ueda, M. Azuma, Z. Hiroi, M. Takano, M. Isobe, Y. Ueda, M.A. Korotin, V.I. Anisimov, A.V. Mahajan, L.L. Miller. arXiv:cond-mat/0001147. Note that this article is a preprint and contains numerous typographical errors. The tables of coefficients for the basic spin ladder are correct.
- M. Azuma, Z. Hiroi, M. Takano, K. Ishida, Y. Kitaoka. Phys. Rev. Lett., 73, 3463 (1994).
- R. Eccleston, M. Azuma, M. Takano. Phys. Rev. B, 53, 14721 (2006).
- T. Imai, K.R. Thurber, K.M. Shen, A.W. Hunt, F.C. Chou. Phys. Rev. Lett., 81, 220 (1998).
- (a) M. Uehara, T. Nagata, J. Akimitsu, H. Takahashi, N. Mori, K. Kinoshita. J. Phys. Soc. Jpn., 65, 2764 (1996); (b) H. Mayaffre, P. Auban-Senzier, M. Nardone, D. Jérome, D. Poilblanc, C. Bourbonnais, U. Ammerahl, G. Dhalenne, A. Revcolevschi. Science, 279, 345 (1998); (c) T. Nagata, M. Uehara, J. Goto, N. Motoyama, H. Eisakai, S. Uchida, H. Takahashi, T. Makashishi, N. Mori. Phys. Rev. Lett., 98, 1090 (1998).
- C.P. Landee, M.M. Turnbull, C. Galeriu, J. Giantsidis, F.M. Woodward. Phys. Rev. B, Rapid Comm., 63, 100402 (2001).
- (a) B.R. Patyal, B.L. Scott, R.D. Willett. Phys. Rev. B, 41, 1657 (1990); (b) B.C. Watson, V.N. Kotov, M.W. Meisel, D.W. Hall, G.E. Granoth, W.T. Montfrooij, S.E. Nagle, D.A. Jensen, R. Backov, M.A. Petruska, G.E. Fanucci, D.R. Talham. Phys. Rev. Lett., 86, 5168 (2001).
- J. Jornet-Somoza, N. Codina-Castillo, M. Deumal, F. Mota, J.J. Novoa, R.T. Butcher, M.M. Turnbull, B. Keith, C.P. Landee, J.L. Wikaira. Inorg. Chem., 51, 6315–6325 (2012).
- M.M. Turnbull, C. Galeriu, J. Giantsidis, C.P. Landee. Mol. Cryst. Liq. Cryst., 376, 469–476 (2002).
- (a) C.P. Landee, A. Delcheva, C. Galeriu, G. Pena, M.M. Turnbull, R.D. Willett. Polyhedron, 22, 2325 (2006); (b) T. Hong, M. Kenzelmann, M.M. Turnbull, C.P. Landee, B.D. Lewis, K.P. Schmidt, G.S. Uhrig, Y. Qiu, C. Broholm, D.H. Reich. Phys. Rev. B, 74, 094434 (2006).
- (a) R.D. Willett, C. Galeriu, C.P. Landee, M.M. Turnbull, B. Twamley, Inorg. Chem., 43, 3804−3811 (2004); (b) J.D. Woodward, J. Choi, J.L. Musfeldt, J.T. Haraldsen, X. Wei, H.-J. Koo, D. Dai, M.-H. Wangbo, C.P. Landeee, M.M. Turnbull. Phys. Rev. B, 71, 174416 (2005).
- A. Shapiro, C.P. Landee, M.M. Turnbull, J. Jornet, M. Deumal, J.J. Novoa, M.A. Robb, W. Lewis. J. Am. Chem. Soc., 129, 952 (2007).
- F. Awwadi, R.D. Willett, B. Twamley, R. Schneider, C.P. Landee. Inorg. Chem., 47, 9327 (2008).
- T. Hong, M. Kenzelmann, M.M. Turnbull, C.P. Landee, B.D. Lewis, K.P. Schmidt, G.S. Uhrig, Y. Qiu, C. Broholm, D.H. Reich. Phys. Rev. B, 74, 094434-1/9 (2006).
- M. Klanjšek, H. Mayaffre, C. Berthier, M. Horvatić, B. Chiari, O. Piovesana, P. Bouillot, C. Kollath, E. Orignac, R. Citro, T. Giamarchi. Phys. Rev. Lett., 101, 137207 (2008).
- T. Hong, Y.H. Kim, C. Hotta, Y. Takano, G. Tremelling, M.M. Turnbull, C.P. Landee, H.-J. Kang, N.B. Christensen, K. Lefman, K.P. Schmidt, G.S. Uhrig, C. Broholm. Phys. Rev. Lett., 105, 137201 (2010).
- P.R. Hammar, M.B. Stone, D.H. Reich, C. Broholm, P.J. Gibson, M.M. Turnbull, C.P. Landee, M. Oshikawa. Phys. Rev. B, 59, 1008–1015 (1999).
- J.S. Griffith. The Theory of Transition Metal Ions, Cambridge University Press, Cambridge (1961).
- F. Lloret, M. Julve, J. Cano, R. Ruiz-García, E. Pardo. Inorg. Chim. Acta, 361, 3432 (2008).
- J. Villain. J. Physique, 35, 27 (1974).
- D.J. Scalapino, Y. Imry, P. Pincus. Phys. Rev. B, 11, 2042 (1975).
- H. Schulz. Phys. Rev. Lett., 77, 2790 (1996).
- S. Todo. Phys. Rev. B, 74, 104415 (2006).
- S. Todo, A. Shibasaki. Phys. Rev. B, 78, 224411 (2008).
- A. Furrer, J. Mesot, Th. Strässle (Eds.). Neutron Scattering in Condensed Matter Physics, World Scientific Publishing C. Pte. Ltd., Singapore (2009).
- S. Chakravarty, B.I. Halperin, D.R. Nelson. Phys. Rev. Lett., 60, 1057 (1988).
- L. Onsager. Phys. Rev., 65, 117 (1944).
- K. Harada, N. Kawashima. Phys Rev. B, 55, R11949 (1997).
- (a) V.L. Berezinskii. Soviet Physics JETP, 32, 493 (1971); (b) J.M. Kosterlitz, D.J. Thouless. J. Phys. C, 6, 1181 (1973); (c) J.M. Kosterlitz. J. Phys. C, 7, 1046 (1974).
- L.P. Regnault, J. Rossat-Mignod, p. 271 in Ref. [11].
- A. Cuccoli, T. Roscilde, V. Tognetti, R. Vaia, P. Verrucchi. Phys. Rev. B, 67, 104414 (2003).
- A. Cuccoli, T. Roscilde, R. Vaia, P. Verrucchi. Phys. Rev. B, 68, 060402 (2003).
- L. Néel. J. Phys. Radium, 11, 49 (1950).
- J. Tejada, X.X. Zhang. J. Phys.: Cond. Matt., 6, 263 (1993).
- (a) J.R. Friedman, M.P. Sarachik, J. Tejada, R. Ziolo. Phys. Rev. Lett., 76, 3830 (1996); (b) L. Thomas, F. Lionti, R. Ballou, D. Gatteschi, R. Sessoli, B. Barbara, Nature, 383, 145 (1996).
- L. Gunther, B. Barbara (Eds.). Quantum Tunneling of Magnetization, Kluwer, Dordrecht (1995).
- E. Chudnovsky, J. Tejada. Macroscopic Quantum Tunneling of the Magnetic Moment (Cambridge Studies in Magnetism), Cambridge University Press, Cambridge (1998).
- A. Paduan-Filho, R.D. Chirico, K.O. Joung, R.L. Carlin. J. Chem. Phys., 74, 4103 (1981).
- M. Orendáč, S. Zvyagin, A. Orendáčová, M. Sieling, B. Lüthi, A. Feher, M.W. Meisel. Phys. Rev. B, 60, 4170 (1999).
- R.L. Carlin, K.O. Joung, A. Paduan-Filho, C.J. O’Connor, E. Sinn. J. Phys. C, 12, 293 (1979).
- V.S. Zapf, D. Zocco, B.R. Hansen, M. Jaime, N. Harrison, C.D. Batista, M. Kenzelmann, C. Niedermayer, A. Lacerda, A. Paduan-Filho. Phys. Rev. Lett., 96, 077204 (2006).
- S.A. Zvyagin, J. Wosnitza, A.K. Kolezhuk, V.S. Zapf, M. Jaime, A. Paduan-Filho, V.N. Glazkov, S.S. Sosin, A.I. Smirnov. Phys. Rev. B, 77, 092413 (2008).
- M. Klanjšek, H. Mayaffre, C. Berthier, M. Horvatić, B. Chiari, O. Piovesana, P. Bouillot, C. Kollath, E. Orignac, R. Citro, T. Giamarchi. Phys. Rev. Lett., 101, 137207 (2008).
- Ch. Rüegg, K. Kiefer, B. Thielemann, D.F. McMorrow, V. Zapf, B. Normand, M.B. Zvonarev, P. Bouillot, C. Kollath, T. Giamarchi, S. Capponi, D. Poilblanc, D. Biner, K.W. Krämer. Phys. Rev. Lett., 101, 247202 (2008).
- D. Schmidiger, P. Bouillot, S. Mühlbauer, S. Gvasaliya, C. Kollath, T. Giamarchi, A. Zheludev. Phys. Rev. Lett., 108, 167201 (2012).
- K. Ninios, T. Hong, T. Manabe, C. Hotta, S.N. Herringer, M.M. Turnbull, C.P. Landee, Y. Takano, H.B. Chan. Phys. Rev. Lett., 108, 097201 (2012).
- S.T. Bramwell, M.J.P. Gingras. Science, 294, 1495 (2001).
- J.E. Greedan. J. Mater. Chem., 11, 37 (2001).
- R. Moessner, A.P. Ramirez. Physics Today, 24 (2006).
- M. Murrie, D.J. Price. Ann. Rep. Prog. Chem., Sect. A, 103, 20 (2007).
- J.F. Sadoc, R. Mosseri. Geometrical Frustration, Cambridge University Press, Cambridge (2006).
- J. Schnack. Dalton Trans., 4677 (2010).
- B. Bernu, C. Lhuillier, L. Pierre. Phys. Rev. Lett., 69, 2590 (1992).
- M.P. Shores, E.A. Nytko, B.M. Bartlett, D.G. Nocera. J. Am. Chem. Soc., 127, 13462 (2005).
- P. Mendels, F. Bert, M.A. de Vries, A. Olariu, A. Harrison, F. Duc, J.C. Trombe, J.S. Lord, A. Amato, C. Baines. Phys. Rev. Lett., 98, 077204 (2007).
- M.A. de Vries, J.R. Stewart, P.P. Deen, J. Piatek, G. Nilsen, H. Rønnow. Phys. Rev. Lett., 103, 237201 (2009).
- S. Depenbrock, I.P. McCulloch, U. Schollwöck. Phys. Rev. Lett., 109, 067201 (2012).
- D.P. Kozlenko, A.F. Kusmartseva, E.V. Lukin, D.A. Keen, W.G. Marshall, M.A. de Vries, K.V. Kamenev. Phys. Rev. Lett., 108, 187207 (2012).
- D. Chowdhury. Spin Glasses and Other Frustrated Systems, Princeton University Press, Princeton, NJ (1986).