Fractal dimension and size scaling of domains in thin films of multiferroic BiFeO3

被引:255
作者
Catalan, G. [1 ]
Bea, H. [2 ,3 ]
Fusil, S. [2 ,3 ]
Bibes, M. [2 ,3 ]
Paruch, P. [4 ]
Barthelemy, A. [2 ,3 ]
Scott, J. F. [1 ]
机构
[1] Univ Cambridge, Dept Earth Sci, Ctr Ferro, Cambridge CB2 3EQ, England
[2] CNRS Thales, Unite Mixte Phys, F-91767 Palaiseau, France
[3] Univ Paris 11, F-91405 Orsay, France
[4] Cornell Univ, Atom & Solid State Phys Lab, Ithaca, NY 14853 USA
关键词
D O I
10.1103/PhysRevLett.100.027602
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Domains in ferroelectric films are usually smooth, stripelike, very thin compared with magnetic ones, and satisfy the Landau-Lifshitz-Kittel scaling law (width proportional to square root of film thickness). However, the ferroelectric domains in very thin films of multiferroic BiFeO3 have irregular domain walls characterized by a roughness exponent 0.5-0.6 and in-plane fractal Hausdorff dimension H-parallel to=1.4 +/- 0.1, and the domain size scales with an exponent 0.59 +/- 0.08 rather than 1/2. The domains are significantly larger than those of other ferroelectrics of the same thickness, and closer in size to those of magnetic materials, which is consistent with a strong magnetoelectric coupling at the walls. A general model is proposed for ferroelectrics, ferroelastics or ferromagnetic domains which relates the fractal dimension of the walls to domain size scaling.
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页数:4
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