Abstract:
Ferroelectric materials, such as lithium niobate, show interesting non-linear hysteresis behavior that can be explained by a dynamical system analysis by using a non-linear Klein-Gordon (K-G) equation previously constructed from the Hamiltonian with Landau-Ginzburg two-well potential. In the discrete case [Phys. Rev.-B 81 (2010) 064104], the intrinsic localized modes were shown to exist above the linear modes. Nonlinearity and discreteness of domain structures in ferroelectrics slab domains arrayed in the x-direction lead to breather solutions under different values of controlling parameters, such as interaction between the domains and damping term mainly due to pinning effect. Different types of classical breather solution, namely Hamiltonian, dissipative and moving breather solutions are shown by numerical simulation with data on actual ferroelectric materials.
Ferroelectric materials, such as lithium niobate, show interesting non-linear hysteresis behavior that can be explained by a dynamical system analysis by using a non-linear Klein-Gordon (K-G) equation previously constructed from the Hamiltonian with Landau-Ginzburg two-well potential. In the discrete case [Phys. Rev.-B 81 (2010) 064104], the intrinsic localized modes were shown to exist above the linear modes. Nonlinearity and discreteness of domain structures in ferroelectrics slab domains arrayed in the x-direction lead to breather solutions under different values of controlling parameters, such as interaction between the domains and damping term mainly due to pinning effect. Different types of classical breather solution, namely Hamiltonian, dissipative and moving breather solutions are shown by numerical simulation with data on actual ferroelectric materials.
Keywords: Discrete Breathers, Ferroelectrics, Localization, Non-Linearity.
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ILM was already shown to be present in lithium niobate due to discreteness of the K-G lattice and nonlinearity in our previous PRB paper. Here, 3D pictures are shown for these symmetric discrete breathers in a non-integrable K-G system through spectral collocation method with good accuracy against different values of coupling and damping. An increase of coupling gives rise to bi- and tri-breathers.
(J. Appl. Phys., Vol. 109 (2011) 054105) 
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