Temporal Phase Transition in the Three-Dimensional Random-Field Ising Model

R. J. Birgeneau; R. A. Cowley; G. Shirane; H. Yoshizawa

doi:10.1103/PhysRevLett.54.2147

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Temporal Phase Transition in the Three-Dimensional Random-Field Ising Model

R. J. Birgeneau

R. A. Cowley^*, G. Shirane, and H. Yoshizawa^†

Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Brookhaven National Laboratory, Upton, New York 11973

^*Permanent address: Department of Physics, University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, Scotland, U.K.
^†Permanent address: Institute for Solid State Physics, University of Tokyo, Roppongi, Minatoku, Tokyo 106, Japan.

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Phys. Rev. Lett. 54, 2147 – Published 13 May, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2147

Abstract

High-resolution neutron-scattering measurements of the random-field Ising phase-transition behavior in ${Mn}_{0.75}$ ${Zn}_{0.25}$ $F_{2}$ are reported. An abrupt, apparently discontinuous, transition at $T_{N} (H)$ from history-independent to history-dependent behavior occurs; below $T_{N} (H)$ all states with length scales between the field-cooled value and infinity are stable for indefinite lengths of times; logarithmic decay of the domain size in time may be ruled out. No existing theory accounts for this transition behavior.

References (9)

R. J. Birgeneau, R. A. Cowley, G. Shirane, and H. Yoshizawa, J. Stat. Phys. 34, 817 (1984) Y. Imry, 34, 849 (1984) G. Grinstein, J. Appl. Phys. 55, 2371 (1984)
S. Fishman and A. Aharony, J. Phys. C 12, L729 (1979)
P. Z. Wong and J. W. Cable, Phys. Rev. B 28, 5361 (1983) Solid State Commun. 51, 545 (1984)
R. A. Cowley, H. Yoshizawa, G. Shirane, and R. J. Birgeneau, Z. Phys. B 58, 15 (1984) H. Yoshizawa, R. A. Cowley, G. Shirane, and R. J. Birgeneau, Phys. Rev. B 31, 4548 (1985) D. P. Belanger, A. R. King, and V. Jaccarino, 31, 4538 (1985)
J. Villain, Phys. Rev. Lett. 52, 1543 (1984) G. Grinstein and J. Fernandez, Phys. Rev. B 29, 6389 (1984) R. Bruinsma and G. Aeppli, Phys. Rev. Lett. 52, 1547 (1984)
R. A. Cowley, H. Yoshizawa, G. Shirane, M. Hagen, and R. J. Birgeneau, Phys. Rev. B 30, 6650 (1984)
Y. Shapira, N. F. Oliveira, Jr., and S. Foner, Phys. Rev. B 30, 6639 (1984)
Omitted endnote
A. P. Young and M. Nauenberg, unpublished

[c1] R. J. Birgeneau, R. A. Cowley, G. Shirane, and H. Yoshizawa, J. Stat. Phys. 34, 817 (1984) Y. Imry, 34, 849 (1984) G. Grinstein, J. Appl. Phys. 55, 2371 (1984)

[c2] S. Fishman and A. Aharony, J. Phys. C 12, L729 (1979)

[c3] P. Z. Wong and J. W. Cable, Phys. Rev. B 28, 5361 (1983) Solid State Commun. 51, 545 (1984)

[c4] R. A. Cowley, H. Yoshizawa, G. Shirane, and R. J. Birgeneau, Z. Phys. B 58, 15 (1984) H. Yoshizawa, R. A. Cowley, G. Shirane, and R. J. Birgeneau, Phys. Rev. B 31, 4548 (1985) D. P. Belanger, A. R. King, and V. Jaccarino, 31, 4538 (1985)

[c5] J. Villain, Phys. Rev. Lett. 52, 1543 (1984) G. Grinstein and J. Fernandez, Phys. Rev. B 29, 6389 (1984) R. Bruinsma and G. Aeppli, Phys. Rev. Lett. 52, 1547 (1984)

[c6] R. A. Cowley, H. Yoshizawa, G. Shirane, M. Hagen, and R. J. Birgeneau, Phys. Rev. B 30, 6650 (1984)

[c7] Y. Shapira, N. F. Oliveira, Jr., and S. Foner, Phys. Rev. B 30, 6639 (1984)

[c8] Omitted endnote

[c9] A. P. Young and M. Nauenberg, unpublished

Physical Review Letters

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Temporal Phase Transition in the Three-Dimensional Random-Field Ising Model

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References (9)

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