2017
DOI: 10.1016/j.apsusc.2016.09.044
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First-principles study on the multiferroic BiFeO3 (0001) polar surfaces

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Cited by 28 publications
(35 citation statements)
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“…The purpose of this paper is to introduce in the simplest possible terms the apparent difficulties associated with defining polarization in bulk solids. Then, we use a theoretical procedure to explore the surface energies without surface reconstructions or chemical adsorptions commonly used to cancel the macroscopic dipole and stabilize the Type-3 Tasker's surface, as proposed by Dai and co-authors [16][17][18]. First, we introduce the unrelaxed cleavage energy ( ) of the complementary terminations (Z + and Z − ), as the required energy to cut the crystal into two unrelaxed complementary terminations, as follows: Here, and E bulk correspond to the total energies for the unrelaxed slab model and the bulk unit, whereas n and A represent the number of bulk units used in the slab construction and the surface area, respectively.…”
Section: Computational Methodologymentioning
confidence: 99%
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“…The purpose of this paper is to introduce in the simplest possible terms the apparent difficulties associated with defining polarization in bulk solids. Then, we use a theoretical procedure to explore the surface energies without surface reconstructions or chemical adsorptions commonly used to cancel the macroscopic dipole and stabilize the Type-3 Tasker's surface, as proposed by Dai and co-authors [16][17][18]. First, we introduce the unrelaxed cleavage energy ( ) of the complementary terminations (Z + and Z − ), as the required energy to cut the crystal into two unrelaxed complementary terminations, as follows: Here, and E bulk correspond to the total energies for the unrelaxed slab model and the bulk unit, whereas n and A represent the number of bulk units used in the slab construction and the surface area, respectively.…”
Section: Computational Methodologymentioning
confidence: 99%
“…In the next step, the relaxation of the complementary terminations (Z + and Z − ) was performed, considering that only the outer MnTiO 3 layers were allowed to relax while the inner positions were clamped to reproduce the bulk [16][17][18]. The unrelaxed cleavage energy ( ) was then computed as:…”
Section: Computational Methodologymentioning
confidence: 99%
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“…It is well known that the GGA and even GGA + U calculations underestimate the band gap. Taking BiFeO 3 as an example, the calculated band gap for U eff = U‐J = 2.5 eV on Fe 3 d states is about 1.7 eV, which is smaller by at least 1.0 eV than the experimental value . Although the experimental value for BMCO is not available, we can reasonably expect that the practical band gap of BMCO should be about 2.2 eV due to the similar U eff values used for the 3 d orbitals of Cr and Mn ions.…”
Section: Resultsmentioning
confidence: 84%
“…Hussain et al [10] reported about chemical pressure red shift in energy band gap in Sr doped BiFeO 3 . Dai et al [11] investigated the stoichiometric (0001) polar surface multiferroic BiFeO 3 nanostructures and reported that spontaneous polarization and weak ferromagnetism showed enhanced character due to the relaxation and rehydration of surface atoms. Xue et al [12] studied microstructure, ferroelectric, magnetic and optical properties on Nd doped BiFeO 3 thin films, whereas Durga Rao et al [13] studied the structural, magnetic and electrical properties of Ho substituted BiFeO 3 polycrystalline compounds.…”
Section: Introductionmentioning
confidence: 99%