Effects of spatial anisotropy on the order of fluctuation-driven transitions

Daniel Blankschtein; Amnon Aharony

doi:10.1103/PhysRevB.26.415

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Effects of spatial anisotropy on the order of fluctuation-driven transitions

Daniel Blankschtein and Amnon Aharony

Department of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel

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Phys. Rev. B 26, 415 – Published 1 July, 1982

DOI: https://doi.org/10.1103/PhysRevB.26.415

Abstract

The application of pressure to quasi-( $d - 1$ )-dimensional systems increases the effective dimensionality of their fluctuations. This is shown to turn fluctuation-driven continuous phase transitions into first-order ones via tricritical points. The resulting pressure dependence of the magnetic field-temperature phase diagrams of metamagnets is accordingly described.

References (30)

L. D. Landau and E. M. Lifshitz, Statistical Physics, 2nd ed. (Pergamon, New York, 1968), Chap. XIV
P. Bak, S. Krinsky, and D. Mukamel, Phys. Rev. Lett. 36, 52 (1976) D. Mukamel and S. Krinsky, Phys. Rev. B 13, 5065, 5078 (1976) J. Rudnick, ibid. 18, 1406 (1978)
D. Blankschtein and A. Aharony, Phys. Rev. Lett. 47, 439 (1981)
L. J. de Jongh and A. R. Miedema, Adv. Phys. 23, 1 (1974)
R. B. Potts, Proc. Cambridge Philos. Soc. 48, 106 (1952)
A. Aharony, K. A. Müller, and W. Berlinger, Phys. Rev. Lett. 38, 33 (1977)
R. J. Baxter, J. Phys. C 6, L445 (1973)
Y. Shnidman and E. Domany, J. Phys. C 14, L773 (1981)
P. Bak, S. Krinsky, and D. Mukamel, Phys. Rev. Lett. 36, 829 (1975) E. Domany, D. Mukamel, and M. E. Fisher, Phys. Rev. B 15, 5432 (1977) M. Kerszberg and D. Mukamel, ibid. 23, 3943, 3953 (1981)
L. L. Liu and H. E. Stanley, Phys. Rev. Lett. 29, 927 (1972)
A. D. Bruce, J. Phys. C 7, 2089 (1974)
E. K. Riedel and F. J. Wegner, Phys. Rev. Lett. 29, 349 (1972)
Y. Gefen, Y. Imry, and D. Mukamel [Phys. Rev. B 23, 6099 (1981)]
I. S. Jacobs and P. E. Lawrence, Phys. Rev. 164, 866 (1967) R. J. Birgeneau, G. Shirane, M. Blume, and W. C. Koehler, Phys. Rev. Lett. 33, 1098 (1974) J. A. Griffin and S. E. Schnatterly, ibid. 33, 1576 (1974)
I. S. Jacobs and P. E. Lawrence, J. Appl. Phys. 35, 996 (1964) A. R. Fert, P. Carrara, M. S. Lanusse, M. G. Mischler, and J. P. Redoules, J. Phys. Chem. Solids 34, 223 (1974)
V. A. Schmidt and S. A. Friedberg, Phys. Rev. B 1, 2250 (1970)
E. Stryjewski and N. Giordano, Adv. Phys. 26, 487 (1977)
Omitted endnote
C. Vettier, H. L. Alberts, and D. Bloch, Phys. Rev. Lett. 1414 (1973)
D. J. Breed, K. Gujamse, and A. R. Miedema, Physica (Utrecht) 45, 205 (1969) H. Ikeda and M. T. Hutchings, J. Phys. C 11, L529 (1978)
H. Ikeda and K. Hirakawa, Solid State Commun. 14, 529 (1974)
K. W. Mess, E. Lagendijk, D. A. Curtis, and W. J. Huiskamp, Physica (Utrecht) 34, 126 (1967)
K. Binder and D. P. Landau, Phys. Rev. B 21, 1941 (1980)
D. R. Nelson and M. E. Fisher, Phys. Rev. B 11, 1030 (1975)
A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1976), Vol. 6, p. 357
F. J. Wegner, in , p. 7
J. Rudnick and D. R. Nelson, Phys. Rev. B 13, 2208 (1976)
Omitted endnote
Omitted endnote
M. de Moura, T. C. Lubensky, Y. Imry, and A. Aharony, Phys. Rev. B 13, 2176 (1976)

[c1] L. D. Landau and E. M. Lifshitz, Statistical Physics, 2nd ed. (Pergamon, New York, 1968), Chap. XIV

[c2] P. Bak, S. Krinsky, and D. Mukamel, Phys. Rev. Lett. 36, 52 (1976) D. Mukamel and S. Krinsky, Phys. Rev. B 13, 5065, 5078 (1976) J. Rudnick, ibid. 18, 1406 (1978)

[c3] D. Blankschtein and A. Aharony, Phys. Rev. Lett. 47, 439 (1981)

[c4] L. J. de Jongh and A. R. Miedema, Adv. Phys. 23, 1 (1974)

[c5] R. B. Potts, Proc. Cambridge Philos. Soc. 48, 106 (1952)

[c6] A. Aharony, K. A. Müller, and W. Berlinger, Phys. Rev. Lett. 38, 33 (1977)

[c7] R. J. Baxter, J. Phys. C 6, L445 (1973)

[c8] Y. Shnidman and E. Domany, J. Phys. C 14, L773 (1981)

[c9] P. Bak, S. Krinsky, and D. Mukamel, Phys. Rev. Lett. 36, 829 (1975) E. Domany, D. Mukamel, and M. E. Fisher, Phys. Rev. B 15, 5432 (1977) M. Kerszberg and D. Mukamel, ibid. 23, 3943, 3953 (1981)

[c10] L. L. Liu and H. E. Stanley, Phys. Rev. Lett. 29, 927 (1972)

[c11] A. D. Bruce, J. Phys. C 7, 2089 (1974)

[c12] E. K. Riedel and F. J. Wegner, Phys. Rev. Lett. 29, 349 (1972)

[c13] Y. Gefen, Y. Imry, and D. Mukamel [Phys. Rev. B 23, 6099 (1981)]

[c14] I. S. Jacobs and P. E. Lawrence, Phys. Rev. 164, 866 (1967) R. J. Birgeneau, G. Shirane, M. Blume, and W. C. Koehler, Phys. Rev. Lett. 33, 1098 (1974) J. A. Griffin and S. E. Schnatterly, ibid. 33, 1576 (1974)

[c15] I. S. Jacobs and P. E. Lawrence, J. Appl. Phys. 35, 996 (1964) A. R. Fert, P. Carrara, M. S. Lanusse, M. G. Mischler, and J. P. Redoules, J. Phys. Chem. Solids 34, 223 (1974)

[c16] V. A. Schmidt and S. A. Friedberg, Phys. Rev. B 1, 2250 (1970)

[c17] E. Stryjewski and N. Giordano, Adv. Phys. 26, 487 (1977)

[c18] Omitted endnote

[c19] C. Vettier, H. L. Alberts, and D. Bloch, Phys. Rev. Lett. 1414 (1973)

[c20] D. J. Breed, K. Gujamse, and A. R. Miedema, Physica (Utrecht) 45, 205 (1969) H. Ikeda and M. T. Hutchings, J. Phys. C 11, L529 (1978)

[c21] H. Ikeda and K. Hirakawa, Solid State Commun. 14, 529 (1974)

[c22] K. W. Mess, E. Lagendijk, D. A. Curtis, and W. J. Huiskamp, Physica (Utrecht) 34, 126 (1967)

[c23] K. Binder and D. P. Landau, Phys. Rev. B 21, 1941 (1980)

[c24] D. R. Nelson and M. E. Fisher, Phys. Rev. B 11, 1030 (1975)

[c25] A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1976), Vol. 6, p. 357

[c26] F. J. Wegner, in , p. 7

[c27] J. Rudnick and D. R. Nelson, Phys. Rev. B 13, 2208 (1976)

[c28] Omitted endnote

[c29] Omitted endnote

[c30] M. de Moura, T. C. Lubensky, Y. Imry, and A. Aharony, Phys. Rev. B 13, 2176 (1976)

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Effects of spatial anisotropy on the order of fluctuation-driven transitions

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