Technology of electric field (EF) control of magnetic properties is attractive for spintronic devices. In particular, it has been shown that the EF can change the magnetization and the magnetic anisotropy. According to an experimental study, an EF less than 0.1V/nm causes a large change of 40% in the magnetic anisotropy energy (MAE) of the Fe/Au(001) film. Also, another experimental study using the Co/Pt(111) film in the EF has shown that the Curie temperature of the film is changed up to 6K by applying an EF of about +0.2V/nm while down to 6K by applying an EF of about 0:2V/nm. A first-principles study of the MAE in the EF for the Fe/ Pt(001) film was carried out; it has been found that the change in the MAE is in proportion to the EF with the slope rate of 0.03meV/Fe per V/nm for Fe/Pt(001). Another firstprinciples study of the MAE in the EF for the Fe monolayer was carried out; it has been found that the MAE is affected considerably by applying the EF. On the other hand, to our knowledge, there are no first-principles studies of the Co/ Pt(111) film in the EF although the Co films are as important as the Fe films. In this study, we investigate the magnetic properties of the Co/Pt(111) film in the EF carrying out the first-principles calculations. We take account of the EF by introducing electrode far above Co/Pt(111) and changing the total number of electrons in the film. We calculate the spin moments and the numbers of electrons of the constituent atoms as well as the MAE of the film self consistently. We employ the fully relativistic full-potential linearcombination-of-atomic-orbitals method based on the density-functional theory within the local spin density approximation. The exchange-correlation energy functional used in this study is the Perdew–Wang parameterization of the Ceperley–Alder results. As shown in Fig. 1, the Pt(111) surface is modeled by a three-layer slab. We denote the Pt atoms in the top, middle, and bottom Pt layers by Pt(I), Pt(II), and Pt(III), respectively. We assume hcp stacking of the Co adlayer on the Pt(111) surface because the Co adatom prefers to occupy an hcphollow site on the Pt(111) surface. We use the lattice constant of the triangular lattice, 2.78 A, which is calculated from the lattice constant of fcc Pt, 3.92 A. All the interlayer distances between adjacent atomic layers of Co/Pt(111) are optimized calculating the forces acting on the Co and Pt atoms in the absence of the EF. The optimized interlayer distances are shown in Fig. 1. The EF is applied as follows. We change the total number of electrons in the film; we denote this change per Co atom by N. We introduce the following external potential originated in the electrode shown in Fig. 1:
Read full abstract