Abstract
We examine a simple model for Pb(In$_{1/2}$Nb$_{1/2}$)O$_3$ (PIN), which includes both long-range dipole-dipole interaction and random local anisotropy. A improved algorithm optimized for long-range interaction has been applied for efficient large-scale Monte Carlo simulation. We demonstrate that the phase diagram of PIN is qualitatively reproduced by this minimum model. Some properties characteristic of relaxors such as nano-scale domain formation, slow dynamics and dispersive dielectric responses are also examined.
Highlights
We examine a simple model of Pb(In1/2Nb1/2)O3 (PIN), which includes both long-range dipole-dipole interaction and random local anisotropy
Under sufficiently strong randomness in the B-site, the ferroelectric phase accompanies relaxor properties. This behavior of PIN suggests that the potential FE instability exists behind the AFE phase, and that its emergence by the selective suppression of the AFE phase due to B-site randomness is relevant to FE relaxors
Even though the effective Hamiltonian derived for relaxors is in a simple form, its numerical simulation may become extremely difficult because it is inevitable to encounter slow dynamics inherent to random systems
Summary
We examine a simple model of Pb(In1/2Nb1/2)O3 (PIN), which includes both long-range dipole-dipole interaction and random local anisotropy. Some characteristic features of relaxors such as nanoscale domain formation, slow dynamics, and dispersive dielectric responses are examined. Under sufficiently strong randomness in the B-site, the ferroelectric phase accompanies relaxor properties.
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