Abstract
In 1897 Guillaume1 discovered that face-centred cubic alloys of iron and nickel with a nickel concentration of around 35 atomic per cent exhibit anomalously low (almost zero) thermal expansion over a wide temperature range. This effect, known as the Invar effect, has since been found in various ordered and random alloys and even in amorphous materials2. Other physical properties of Invar systems, such as atomic volume, elastic modulus, heat capacity, magnetization and Curie (or Néel) temperature, also show anomalous behaviour. Invar alloys are used in instrumentation, for example as hair springs in watches. It has long been realized that the effect is related to magnetism2,3; but a full understanding is still lacking. Here we present ab initio calculations of the volume dependences of magnetic and thermodynamic properties for the most typical Invar system, a random face-centred cubic iron–nickel alloy, in which we allow for non-collinear spin alignments—that is, spins that may be canted with respect to the average magnetization direction. We find that the magnetic structure is characterized, even at zero temperature, by a continuous transition from the ferromagnetic state at high volumes to a disordered non-collinear configuration at low volumes. There is an additional, comparable contribution to the net magnetization from the changes in the amplitudes of the local magnetic moments. The non-collinearity gives rise to an anomalous volume dependence of the binding energy, and explains other peculiarities of Invar systems.
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References
Guillaume, C. E. Recherches sur les aciers au nickel. Dilatations aux temperatures elevees; resistance electrique. CR Acad. Sci. 125, 235–238 (1897).
Wasserman, E. F. in Ferromagnetic Materials Vol. 5 (eds Buschow, K. H. J. & Wohlfarth, E. P.) 237–322 (North-Holland, Amsterdam, (1990).
Weiss, R. J. The origin of the ‘Invar’ effect. Proc. R. Soc. Lond. A 82, 281–288 (1963).
Andersen, O. K., Madsen, J., Poulsen, U. K., Jepsen, O. & Kollar, J. Magnetic ground state properties of transition metals. Physica B 86–88, 249–256 (1977).
Roy, D. M. & Pettifor, D. G. Stoner theory support for the two-state hypothesis for γ iron. J. Phys. F 7, L183–L187 (1977).
Moroni, E. G. & Jarlborg, T. Calculation of Invar anomalies. Phys. Rev. B 41, 9600–9602 (1990).
Moruzzi, V. L. High-spin and low-spin states in Invar and related alloys. Phys. Rev. B 41, 6939–6946 (1990).
Mohn, P., Schwarz, K. & Wagner, D. Magnetoelastic anomalies in Fe-Ni Invar alloys. Phys. Rev. B 43, 3318–3324 (1991).
Entel, P., Hoffmann, E., Mohn, P., Schwarz, K. & Moruzzi, V. L. First-principles calculations of the instability leading to the Invar effect. Phys. Rev. B 47, 8706–8720 (1993).
Johnson, D. D., Pinski, F. J., Staunton, J. B., Györffy, B. L. & Stocks, G. M. in Physical Metallurgy of Controlled Expansion Invar-Type Alloys (eds Russell, K. C. & Smith, D. F.) 3–24 (The Minerals, Metals & Materials Soc., Warrendale, Pennsylvania, (1990).
Akai, H. & Dederichs, P. H. Local moment disorder in ferromagnetic alloys. Phys. Rev. B 47, 8739–8747 (1993).
Johnson, D. D. & Shelton, W. A. in The Invar effect: A Centennial Symposium (ed. Wittenauer, J.) 63–74 (The Minerals, Metals & Materials Soc., Warrendale, Pennsylvania, (1997).
Abrikosov, I. A., Eriksson, O., Söderlind, P., Skriver, H. L. & Johansson, B. Theoretical aspects of the Fe c Ni1−c Invar alloys. Phys. Rev. B 51, 1058–1063 (1995).
Schröter, M. et al . First-principles investigations of atomic disorder effects on magnetic and structural instabilities in transition-metal alloys. Phys. Rev. B 52, 188–209 (1995).
Schumann, F. O., Willis, R. F., Goodman, K. G. & Tobin, J. G. Magnetic instability of ultrathin fcc Fe x Ni1−x films. Phys. Rev. Lett. 79, 5166–5169 (1997).
Freeland, J. W., Grigorov, I. L. & Walker, J. C. Magnetic phase transition in epitaxial Ni1−x Fe x alloy thin films. Phys. Rev. B 57, 80–83 (1998).
Mryasov, O. N., Gubanov, A. V. & Liechtenstein, A. I. Spiral spin-density-wave states in FCC iron: Linear-muffin-tin-orbitals band-structure approach. Phys. Rev. B 45, 12330–12336 (1992).
Uhl, M., Sandratskii, L. M. & Kübler, J. Spin fluctuations in γ-Fe and in Fe3Pt Invar from local-density-functional calculations. Phys. Rev. B 50, 291–301 (1994).
Antropov, V. P., Katsnelson, M. I., van Schilfgaarde, M. & Harmon, B. N. Ab initio spin dynamics in magnets. Phys. Rev. Lett. 75, 729–732 (1995).
Antropov, V. P., Katsnelson, M. I., Harmon, B. N., van Schilfgaarde, M. & Kusnezov, D. Spin dynamics in magnets: equation of motion and finite temperature effects. Phys. Rev. B 54, 1019–1035 (1996).
Wang, Y. et al . Noncollinear magnetic structure in Ni0.35Fe0.65. J. Appl. Phys. 81, 3873–3875 (1997).
Pearson, W. B. A Handbook of Lattice Spacing and Structure of Metals and Alloys (Pergamon, London, (1967).
Ishikawa, Y., Noda, Y., Ziebeck, K. R. A. & Givord, D. Origin of hidden magnetic excitations in an Invar alloy Fe65Ni35. Solid State Commun. 57, 531–534 (1986).
Moruzzi, V. L., Janak, J. F. & Schwarz, K. Calculated thermal properties of metals. Phys. Rev. B 37, 790–799 (1988).
Mañosa, Ll. et al . Acoustic-mode vibrational anharmonicity related to the anomalous thermal expansion of Invar iron alloys. Phys. Rev. B 45, 2224–2236 (1992).
von Barth, U. & Hedin, L. Alocal exchange-correlation potential for the spin polarized case: I. J. Phys. C 5, 1629–1642 (1972).
Andersen, O. K. Linear methods in band theory. Phys. Rev. B 12, 3060–3083 (1975).
Andersen, O. K., Jepsen, O. & Glötzel, D. in Highlights of Condensed-Matter Theory (eds Bassani, F., Fumi, T. & Tosi, M. P.) 59–176 (North-Holland, New York, (1985).
Acknowledgements
M.v.S. thanks V. Antropov for discussions; I.A.A. and B.J. were supported by the Swedish Natural Science Council; M.v.S. was supported by ONR. This work was also supported by the Swedish Materials Consortium No. 9.
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van Schilfgaarde, M., Abrikosov, I. & Johansson, B. Origin of the Invar effect in iron–nickel alloys. Nature 400, 46–49 (1999). https://doi.org/10.1038/21848
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DOI: https://doi.org/10.1038/21848
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