First-principles study of ferroelectricity and pressure-induced phase transitions in HgTiO₃

Abstract

Ground-state structure is found and pressure-induced phase transitions up to 210 kbar are studied in mercury titanate from first principles within the density functional theory. It is established that the R3c structure experimentally observed in HgTiO₃ is metastable at ambient pressure. With increasing the hydrostatic pressure, the ground-state structure changes following the sequence. It is shown that the appearance of ferroelectricity in HgTiO₃ at P = 0 is associated with an unstable phonon mode. Optical and elastic properties of different phases of mercury titanate are calculated. The quasiparticle band gap calculated in the GW approximation (E _g  = 2.43 eV) agrees with experimental data better than the value obtained in the LDA approximation (1.49 eV). Analysis of the thermodynamic stability explains why the synthesis of mercury titanate is possible only at high pressures.

Key Words:

• ab initio calculations
• ferroelectricity
• structural phase transitions
• phonon spectra
• pressure effects
• electronic structure
• thermodynamic stability

Notes

1. In the phase, the dielectric constant is considerably lower: ε _xx  = 28, ε _zz  = 27.

2. Absolute values of d ₀₂₄ at P = 0 shown in Figure 3 of Ref. 8 disagree with the lattice parameters given in this article for the same pressure (the deviation is about 5%).

3. At the phase transition the (012) peak splits into two components with (110) and (002) indices.