Domain Wall Creep in an Ising Ultrathin Magnetic Film

S. Lemerle; J. Ferré; C. Chappert; V. Mathet; T. Giamarchi; P. Le Doussal

doi:10.1103/PhysRevLett.80.849

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Domain Wall Creep in an Ising Ultrathin Magnetic Film

S. Lemerle¹, J. Ferré¹, C. Chappert², V. Mathet², T. Giamarchi¹, and P. Le Doussal³

¹Laboratoire de Physique des Solides, URA CNRS 02, Bâtiment 510, Université Paris-Sud, 91405 Orsay, France
²Institut d'Electronique Fondamentale, URA CNRS 022, Bâtiment 220, Université Paris-Sud, 91405 Orsay, France
³CNRS-LPTENS, 24 Rue Lhomond, 75230 Paris Cedex 05, France

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Phys. Rev. Lett. 80, 849 – Published 26 January, 1998

DOI: https://doi.org/10.1103/PhysRevLett.80.849

Abstract

We have studied the motion of a magnetic domain wall (MDW) driven by a magnetic field H in a 2D ultrathin Pt/Co/Pt film showing perpendicular anisotropy and quenched disorder. MDW velocity measurements down to the so called creep regime show that the average energy barrier scales as $(1 / H)^{μ}$ with $μ = 0.24 \pm 0.04$ and that the correlation function along a MDW is governed by a wandering exponent $ζ = 0.69 \pm 0.07$ , in very good agreement with theories giving $μ = 0.25$ and $ζ = 2 / 3$ . This is the first direct measurement of the creep regime for a moving interface in a disordered medium.

References (25)

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R. Lenormand, J. Phys. Condens. Matter 2, SA79 (1990).
N. Martys, M. Cieplak, and M. O. Robbins, Phys. Rev. Lett. 66, 1058 (1991).
J. Krim and G. Palasantzas, Int. J. Mod. Phys. B 9, 599 (1995).
M. Kardar, cond-mat/9704172; cond-mat/9507019.
G. Grüner, Rev. Mod. Phys. 60, 1129 (1988).
H. Ji and M. O. Robbins, Phys. Rev. A 44, 2538 (1991).
D. A. Huse and C. L. Henley, Phys. Rev. Lett. 54, 2708 (1985).
D. A. Huse, C. L. Henley, and D. S. Fisher, Phys. Rev. Lett. 55, 2924 (1985).
M. Kardar and D. R. Nelson, Phys. Rev. Lett. 55, 1157 (1985).
M. Kardar, Nucl. Phys. B290, 582 (1987).
M. V. Feigel'man, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Phys. Rev. Lett. 63, 2303 (1989).
T. Giamarchi and P. Le Doussal, Phys. Rev. B 52, 1242 (1995); Phys. Rev. Lett. 76, 3408 (1996); cond-mat/9705096.
P. W. Anderson and Y. B. Kim, Rev. Mod. Phys. 36, 39 (1964).
P. L. Gammel, L. F. Schneemeyer, and D. J. Bishop, Phys. Rev. Lett. 66, 953 (1991).
P. Gaunt, Philos. Mag. B 48, 261 (1983).
A. I. Larkin and Y. N. Ovchinnikov, J. Low Temp. Phys. 34, 409 (1979).
V. Grolier, Ph.D. thesis, Université Paris-Sud, centre d'Orsay (France), Chap. 2, 1994.
D. S. Fisher and D. A. Huse, Phys. Rev. B 43, 10 728 (1991).
D. E. Wolf and J. Kertész, Europhys. Lett. 4, 651 (1987).
B. M. Forrest and L.-H. Tang, Phys. Rev. Lett. 64, 1405 (1990).
A. A. Thiele, Bell Syst. Tech. J. 48, 3287 (1969).
M. Labrune, S. Andrieu, F. Rio, and P. Bernstein, J. Magn. Magn. Mater. 80, 211 (1989).
P. Meyer, J. Pommier, and J. Ferré, Proc. SPIE Int. Soc. Opt. Eng. 1126, 93 (1989).
A. Kirilyuk, J. Ferré, J. Pommier, and D. Renard, J. Magn. Magn. Mater. 121, 536 (1993).

[c1] G. Blatter, M. V. Feigel'man, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994).

[c2] R. Lenormand, J. Phys. Condens. Matter 2, SA79 (1990).

[c3] N. Martys, M. Cieplak, and M. O. Robbins, Phys. Rev. Lett. 66, 1058 (1991).

[c4] J. Krim and G. Palasantzas, Int. J. Mod. Phys. B 9, 599 (1995).

[c5] M. Kardar, cond-mat/9704172; cond-mat/9507019.

[c6] G. Grüner, Rev. Mod. Phys. 60, 1129 (1988).

[c7] H. Ji and M. O. Robbins, Phys. Rev. A 44, 2538 (1991).

[c8] D. A. Huse and C. L. Henley, Phys. Rev. Lett. 54, 2708 (1985).

[c9] D. A. Huse, C. L. Henley, and D. S. Fisher, Phys. Rev. Lett. 55, 2924 (1985).

[c10] M. Kardar and D. R. Nelson, Phys. Rev. Lett. 55, 1157 (1985).

[c11] M. Kardar, Nucl. Phys. B290, 582 (1987).

[c12] M. V. Feigel'man, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Phys. Rev. Lett. 63, 2303 (1989).

[c13] T. Giamarchi and P. Le Doussal, Phys. Rev. B 52, 1242 (1995); Phys. Rev. Lett. 76, 3408 (1996); cond-mat/9705096.

[c14] P. W. Anderson and Y. B. Kim, Rev. Mod. Phys. 36, 39 (1964).

[c15] P. L. Gammel, L. F. Schneemeyer, and D. J. Bishop, Phys. Rev. Lett. 66, 953 (1991).

[c16] P. Gaunt, Philos. Mag. B 48, 261 (1983).

[c17] A. I. Larkin and Y. N. Ovchinnikov, J. Low Temp. Phys. 34, 409 (1979).

[c18] V. Grolier, Ph.D. thesis, Université Paris-Sud, centre d'Orsay (France), Chap. 2, 1994.

[c19] D. S. Fisher and D. A. Huse, Phys. Rev. B 43, 10 728 (1991).

[c20] D. E. Wolf and J. Kertész, Europhys. Lett. 4, 651 (1987).

[c21] B. M. Forrest and L.-H. Tang, Phys. Rev. Lett. 64, 1405 (1990).

[c22] A. A. Thiele, Bell Syst. Tech. J. 48, 3287 (1969).

[c23] M. Labrune, S. Andrieu, F. Rio, and P. Bernstein, J. Magn. Magn. Mater. 80, 211 (1989).

[c24] P. Meyer, J. Pommier, and J. Ferré, Proc. SPIE Int. Soc. Opt. Eng. 1126, 93 (1989).

[c25] A. Kirilyuk, J. Ferré, J. Pommier, and D. Renard, J. Magn. Magn. Mater. 121, 536 (1993).

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Domain Wall Creep in an Ising Ultrathin Magnetic Film

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