Density functional theory study of bulk platinum monoxide Jamal Uddin, Juan E. Peralta, and Gustavo E. Scuseria Department of Chemistry, Rice University, Houston, Texas 77005-1892, USA Received 19 June 2004; revised manuscript received 2 November 2004; published 18 April 2005 The ground state electronic structure of platinum monoxide PtOhas been calculated using density func- tional theory DFTwith periodic boundary conditions and Gaussian type orbitals. Several DFT exchange- correlation functionals, including a hybrid functional based on a screened Coulomb potential for exact ex- change have been used. Our study reveals that functionals based on the generalized gradient approximation GGAor meta-GGA do not give qualitatively different results from those of the local spin density approxi- mation, predicting PtO to be metallic, whereas the hybrid functional predicts a semiconductor with a band gap of 0.86 eV. A reduced band gap of 0.56 eV is found in the oxygen deficient PtO 0.9 system. DOI: 10.1103/PhysRevB.71.155112 PACS numbers: 71.20.-b, 71.15.Mb, 71.15.Ap I. INTRODUCTION PtO belongs to the technologically important group of noble-metal monoxides that includes species like NiO and PdO. Extensive theoretical and experimental studies have been performed on the electronic structures of NiO and PdO. 1–11 On the other hand, PtO has attracted far less atten- tion primarily due to its limited applications. In recent years, however, PtO has become the focus of interest because of its potential use as an important technological material such as gate electrodes in the fabrication of the next generation of large scale integrators and dynamic random access memo- ries DRAMs. Thin films of Pt oxides are promising candi- dates for electrode materials in ferroelectric memory capacitors. 12,13 A study reported that PtO can improve the endurance properties of the ferroelectric capacitor. 14,15 The fatigue properties of Pt oxides are better than those of any other oxide electrodes. 16 High selectivity as well as enhanced deposition and dielectric properties are achieved for tantalum pentaoxide Ta 2 O 5 , used for ultradensity DRAM materials, when the Pt electrode is replaced by PtO. 17 The latter elec- trode provides with a rugged structure that significantly in- creases the capacitance density of Ta 2 O 5 . PtO also plays an important role in the oxidation-reduction processes at the fuel cell electrodes. Studies have shown that PtO is involved in the catalyzed dioxygen reduction to produce hydrogen peroxide. 18 PtO has also been used in the synthesis of self- assembled monolayers. 19 The structure and electrical properties of PtO have been a matter of interest and controversy at the same time. The crys- tallographic structure of PtO was predicted by Moore and Pauling 20 in 1941, whereas Westwood and Bennewitz, 21 fol- lowed by Hecq and Hecq, 22 reconfirmed its existence in the thin film form. 23 Refined structural data has been published by McBride et al. later on. 24 The crystal structure of PtO is similar to that of PdO, with two formula units per tetragonal unit cell in a D 4h 9 space group where the metal ions acquire coplanar rectangular dsp 2 coordination and the anions achieve a near tetrahedral environment. Experimental data on the optical and electrical properties of PtO is scarce. 24,25 Contradictory results are found in the literature claiming PtO to be a metallic conductor and a semiconductor. Based on scanning tunneling microscopy STMand infrared reflectivity spectra techniques, McBride et al. 24 concluded that PtO is a nonmagnetic p-type semicon- ductor with conductivity = 2.25 -1 cm -1 and free carrier concentration n = 4.11 10 18 cm -3 . More recently, Abe et al. reported 25 PtO to be a metallic conductor with a resistivity of 1–2 m cm. Only a few theoretical studies on the electronic properties of PtO can be found in the literature. A small band gap of 0.7 eV was found for PtO by Hass and Carlsson 26 using the augmented-spherical-waves ASWmethod and the local density approximation LDA. Ahuja et al. 27 predicted PtO to have a band gap of 0.6 eV employing the linear-muffin-tin- orbital method in the atomic-sphere approximation LMTO- ASAand the Barth-Hedin local exchange-correlation func- tional. On the other hand, calculations based on all-electron full-potential-linearized augmented plane wave FLAPW and full-potential linear-muffin-tin-orbital FLMTOmeth- ods predicted PtO to be a metal. 28 These calculations were carried out using LDA with the Hedin-Lundqvist exchange- correlation functional. In light of these contradictory results, it is relevant to carry out further investigations of PtO using theoretical methods. It is known that LSDA underestimates band gaps in semi- conductors and insulators. 29,30 Such underestimation in some cases can completely close the gap, and semiconductors are predicted to be metals, as for instance in UO 2 . 31 Therefore, more reliable methods are required for studying the elec- tronic properties of bulk PtO. Hybrid density functionals, 32 which contain a portion of exact exchange loosely referred to as Hartree-Fock ex- changeare popular in quantum chemistry since they provide higher accuracy than LSDA or generalized gradient approxi- mation GGAfunctionals. 33 In solid state calculations, however, the use of hybrid functionals is not a common practice because of the high computational cost that exact exchange involves. A recent alternative to conventional hybrid functionals is a screened exchange hybrid functional developed by Heyd, Scuseria, and Ernzerhof HSE. 34,35 This functional uses a screened Coulomb potential for the exact exchange interaction, dras- tically reducing its computational cost, and providing results of similar quality than traditional hybrid functionals. In par- PHYSICAL REVIEW B 71, 155112 2005 1098-0121/2005/7115/1551127/$23.00 ©2005 The American Physical Society 155112-1