Abstract
It is shown that in a system with anisotropic distribution of the impurity-induced random local field directions in the n-dimensional space of a vector order parameter with the O(n) symmetry, the impurityinduced effective anisotropy arises for the space dimensionality 2 < d < 4. If the anisotropy constant exceeds the threshold value, then an inhomogeneous state predicted by Imry and Ma becomes energetically unfavorable, and the system goes back to a state with the long-range order.
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References
Y. Imry and S.-K. Ma, Phys. Rev. Lett. 35, 1399 (1975).
A. A. Berzin and A. I. Morosov, Phys. Solid State 57 (11), 2217 (2015).
A. I. Morosov and A. S. Sigov, JETP Lett. 90 (11), 723 (2009).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Butterworth–Heinemann, Oxford, 1984).
A. Aharony, Phys. Rev. B: Condens. Matter 18, 3328 (1978).
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Original Russian Text © A.A. Berzin, A.I. Morosov, A.S. Sigov, 2016, published in Fizika Tverdogo Tela, 2016, Vol. 58, No. 8, pp. 1614–1616.
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Berzin, A.A., Morosov, A.I. & Sigov, A.S. Anisotropy induced by impurities of “random local field” type in O(n) models and suppression of the Imry–Ma inhomogeneous state. Phys. Solid State 58, 1671–1674 (2016). https://doi.org/10.1134/S1063783416080059
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DOI: https://doi.org/10.1134/S1063783416080059