Random-Field Instability of the Ordered State of Continuous Symmetry
Y. ImryBrookhaven National Laboratory, Upton, New York 11973Shang-keng MaBrookhaven National Laboratory, Upton, New York 11973
1975en
ABI
Abstract
We consider phase transitions in systems where the field conjugate to the order parameter is static and random. It is demonstrated that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions. The borderline dimensionality above which mean-field-theory results hold is six.
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Cited by 70 references