Hostname: page-component-76fb5796d-45l2p Total loading time: 0 Render date: 2024-04-26T19:41:29.980Z Has data issue: false hasContentIssue false

Two-Dimensional Melting of Magnetic Bubble Arrays: A Continuous Hexatic-To-Liquid Transition

Published online by Cambridge University Press:  25 February 2011

R. Seshadri
Affiliation:
Division of Applied Sciences and Department of PhysicsHarvard University, Cambridge, MA 02138
R. M. Westervelt
Affiliation:
Division of Applied Sciences and Department of PhysicsHarvard University, Cambridge, MA 02138
Get access

Abstract

Arrays of two-dimensional magnetic bubbles in thin garnet films undergo a hexatic-toliquid transition as a function of bubble density controlled by an applied spatially uniform dc bias magnetic field that opposes the magnetization in the bubbles. The phase transition is driven by topological point defects. The bubbles are observed directly using optical microscopy and digital imaging techniques. In the presence of a linear gradient in the dc bias magnetic field the hexatic-to-liquid transition occurs spatially in the direction of the gradient. As the system goes from hexatic to liquid, a continuous decrease in bubble density accompanied by a continuous disordering of the array is observed along the gradient direction. This continuous disordering persists even after the system is allowed to equilibrate for very long periods of time, indicating that the hexatic-to-liquid transition is continuous at equilibrium. Dynamics of topological defects observed in the gradient field correspond to those observed in the uniform field.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Strandburg, K. J., Rev. Mod. Phys. 60, 161 (1988). and references therein.Google Scholar
2. Ordering in Two Dimensions, edited by Sinha, S. K. (North-Holland, Amsterdam, 1980) and references therein.Google Scholar
3. Kosterlitz, J. M. and Thouless, D. J., J. Phys. C 6, 1181 (1973).Google Scholar
4. Halperin, B. I. and Nelson, D. R., Phys. Rev. Lett. 41, 121 (1978).Google Scholar
5. Nelson, D. R. and Halperin, B. I., Phys. Rev. B 12, 2457 (1979).CrossRefGoogle Scholar
6. Young, A. P., Phys. Rev. B 19, 1855 (1979).Google Scholar
7. Murray, C. A. and Winkle, D. H. Van, Phys. Rev. Lett. 58, 1200 (1987).Google Scholar
8. Yang, Y., Armstrong, A. J., Mockler, R. C. and O'Sullivan, W. J., Phys. Rev. Lett. 62, 2401 (1989).Google Scholar
9. Helgesen, G. and Skjeltorp, A. T., Physica A 10, 488 (1991).Google Scholar
10. Chudnovsky, E. M., Phys. Rev. B 40, 11355 (1989).Google Scholar
11. Murray, C. A., Gammel, P. L., Bishop, D. J., Mitzi, D. B., and Kapitulnik, A., Phys. Rev. Lett. 64, 2312 (1990).Google Scholar
12. Grier, D. G., Murray, C. A., Bolle, C. A., Gammel, P. L., Bishop, D. J., Mitzi, D. B., and Kapitulnik, A., Phys. Rev. Lett. 66, 2270 (1991).CrossRefGoogle Scholar
13. Seshadri, R. and Westervelt, R. M., Phys. Rev. Lett. 66 (1991) 2774.Google Scholar
14. Seshadri, R. and Westervelt, R. M., paper in preparation.Google Scholar