# Multiscaling analysis of ferroelectric domain wall roughness.

@article{Guyonnet2012MultiscalingAO, title={Multiscaling analysis of ferroelectric domain wall roughness.}, author={Jill Guyonnet and Elisabeth Agoritsas and Sebastian Bustingorry and Thierry Giamarchi and Patrycja Paruch}, journal={Physical review letters}, year={2012}, volume={109 14}, pages={ 147601 } }

Using multiscaling analysis, we compare the characteristic roughening of ferroelectric domain walls in Pb(Zr0.2Ti0.8)O3 thin films with numerical simulations of weakly pinned one-dimensional interfaces. Although at length scales up to L(MA)≥5 μm the ferroelectric domain walls behave similarly to the numerical interfaces, showing a simple monoaffine scaling (with a well-defined roughness exponent ζ), we demonstrate more complex scaling at higher length scales, making the walls globally…

## 21 Citations

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## References

SHOWING 1-10 OF 75 REFERENCES

Domain wall roughness in epitaxial ferroelectric PbZr0.2Ti0.8O3 thin films.

- Materials Science, PhysicsPhysical review letters
- 2005

The static configuration of ferroelectric domain walls was investigated using atomic force microscopy on epitaxial PbZr( 0.2)Ti(0.8)O(3) thin films to give an effective domain wall dimensionality of d = 2.5, in good agreement with theoretical calculations for a two-dimensional elastic interface in the presence of random-bond disorder and long-range dipolar interactions.

Quasi-one-dimensional domain walls in ferroelectric ceramics: Evidence from domain dynamics and wall roughness measurements

- Physics
- 2011

Direct measurements of the motion of domain walls in disordered ferroelectrics provide important information on their interaction with defects, which is crucial for the functioning of various…

Ferroelectric domain wall pinning at a bicrystal grain boundary in bismuth ferrite

- Materials Science
- 2008

The ferroelectric polarization switching behavior at the 24° (100) tilt grain boundary (GB) in an epitaxial multiferroic BiFeO3 bicrystal film is studied using piezoresponse force microscopy (PFM).…

Thermal quench effects on ferroelectric domain walls

- Materials Science, Physics
- 2012

Using piezoresponse force microscopy on epitaxial ferroelectric thin films, we have measured the evolution of domain wall roughening as a result of heat-quench cycles up to 735…

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

- Materials Science, PhysicsPhysical review letters
- 2008

A general model is proposed for ferroelectrics, ferroelastics or ferromagnetic domains which relates the fractal dimension of the walls to domain size scaling.

Fracture surfaces as multiscaling graphs.

- Physics, MedicinePhysical review letters
- 2006

It is shown that 2D fracture does not belong to any of the known kinetic roughening models, and the presence of multiscaling offers a stringent test for any theoretical model; it is demonstrated that a recently introduced model of quasistatic fracture passes this test.

Statistics of fracture surfaces.

- Mathematics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

The statistical distribution function for the height fluctuations of brittle fracture surfaces is analyzed using extensive experimental data sampled on widely different materials and geometries and discusses for the latter, the relevance of a multiaffine analysis and the influences of the discreteness resulting from material microstructures or experimental sampling.

REPLICA BETHE ANSATZ STUDIES OF TWO-DIMENSIONAL INTERFACES WITH QUENCHED RANDOM IMPURITIES

- Physics
- 1987

The statistical mechanics of interfaces subject to quenched impurities is studied in two dimensions. The presence of randomness changes the scaling of domain wall fluctuations, and modifies critical…

Domain wall conductivity in La-doped BiFeO3.

- Materials Science, MedicinePhysical review letters
- 2010

Nanoscale current measurements are investigated as a function of bias and temperature and are shown to be consistent with distinct electronic properties at the domain walls leading to changes in the observed local conductivity.

Domain wall nanoelectronics

- Physics
- 2012

Domains in ferroelectrics were considered to be well understood by the middle of the last century: They were generally rectilinear, and their walls were Ising-like. Their simplicity stood in stark…