arXiv subjects

Takao Kotani

Publications and source records attributed to Takao Kotani.

At least 37 records · Page 2Linked to original sources

arXiv2016

Direct theoretical evidence for weaker correlations in electron-doped and Hg-based hole-doped cuprates

Many important questions for high-$T_c$ cuprates are closely related to the insulating nature of parent compounds. While there has been intensive discussion on this issue, all arguments rely strongly on, or are closely related to, the correlation strength of the materials. Clear understanding has been seriously hampered by the absence of a direct measure of this interaction, traditionally denoted by $U$. Here, we report a first-principles estimation of $U$ for several different types of cuprates. The $U$ values clearly increase as a function of the inverse bond distance between apical oxygen and copper. Our results show that the electron-doped cuprates are less correlated than their hole-doped counterparts, which supports the Slater picture rather than the Mott picture. Further, the $U$ values significantly vary even among the hole-doped families. The correlation strengths of the Hg-cuprates are noticeably weaker than that of La$_2$CuO$_4$. Our results suggest that the strong correlation enough to induce Mott gap may not be a prerequisite for the high-$T_c$ superconductivity.

cond-mat.supr-con↗

arXiv2016

Accurate energy bands calculated by the hybrid quasiparticle self-consistent GW method implemented in the ecalj package

We have recently implemented a new version of the quasiparticle self-consistent GW (QSGW) method in the ecalj package released at http://github.com/tkotani/ecalj. Since the new version of the ecalj is numerically stable and accurate compared to the previous versions, we can perform calculations easily without being bothered with setting input parameters. Here we examine its ability to describe energy band properties, e.g., band-gap energy, eigenvalues at special points and effective mass, for variety of semiconductors and insulators. We treat C, Si, Ge, Sn, SiC (in 2H, 3C, and 4H structures), (Al, Ga, N)x(N, P, As, Pb), (Zn, Cd, Mg)x(O, S, Se, Te), SiO2, HfO2, ZrO2, SrTiO3, PbS, PbTe, MnO, NiO, and HgO. We propose that a hybrid QSGW method, where we mix 80 percent of QSGW and 20 percent of LDA, gives universally good agreement with experiments for these materials.

cond-mat.mtrl-sci↗

arXiv2016

Quasiparticle self-consistent GW calculation of Sr$_2$RuO$_4$ and SrRuO$_3$:

Using quasiparticle self-consistent $GW$ calculations, we re-examined the electronic structure of Sr$_2$RuO$_4$ and SrRuO$_3$. Our calculations show that the correlation effects beyond the conventional LDA (local density approximation) and GGA (generalized gradient approximation) are reasonably well captured by QS$GW$ self-energy without any {\it ad hoc} parameter or any ambiguity related to the double-counting and the downfolding issues. While the spectral weight transfer to the lower and upper Hubbard band is not observed, the noticeable bandwidth reduction and effective mass enhancement are obtained. Important features in the electronic structures that have been debated over the last decades such as the photoemission spectra at around $-3$ eV in Sr$_2$RuO$_4$ and the half-metallicity for SrRuO$_3$ are discussed in the light of our QS$GW$ results and in comparison with the previous studies. The promising aspects of QS$GW$ are highlighted as the first-principles calculation method to describe the moderately correlated 4$d$ transition metal oxides along with its limitations.

cond-mat.str-el↗

arXiv2015

Quasiparticle self-consistent GW study of cuprates: electronic structure, model parameters, and the two-band theory for Tc

Despite decades of progress, an understanding of unconventional superconductivity still remains elusive. An important open question is about the material dependence of the superconducting properties. Using the quasiparticle self-consistent GW method, we re-examine the electronic structure of copper oxide high-Tc materials. We show that QSGW captures several important features, distinctive from the conventional LDA results. The energy level splitting between dx2-y2 and d3z2-r2 is significantly enlarged and the van Hove singularity point is lowered. The calculated results compare better than LDA with recent experimental results from resonant inelastic xray scattering and angle resolved photoemission experiments. This agreement with the experiments supports the previously suggested two-band theory for the material dependence of the superconducting transition temperature, Tc.

cond-mat.str-el↗

arXiv2014

Formulation of the augmented plane-wave and muffin-tin orbital method

A mixed basis all-electron full-potential method, which uses two kinds of augmented waves, the augmented plane waves and the muffin-tin orbitals simultaneously, in addition to the local orbitals, was proposed by Kotani and van Schilfgaarde in Phys. Rev. B81, 125117(2010). We named it the PMT method. In this paper, this mixed basis method is reformulated on the basis of a new formalism named as the 3-component formalism, which is a mathematically transparent version of the additive augmentation originally due to Soler and Williams in Phys. Rev. B47, 6784(1993). Atomic forces are easily derived systematically. We discuss some problems in the mixed basis method and ways to manage them. In addition, we compare the method with the PAW method on the same footing. This PMT method is the basis for our new development of the quasiparticle self-consistent $GW$ method in J.Phys.Soc.Jpn 83, 094711(2014).

cond-mat.mtrl-sci↗

arXiv2014

Quasiparticle self-consistent GW method based on the augmented plane-wave and muffin-tin orbital method

We have developed the quasiparticle self-consistent GW (QSGW) method based on a recently developed mixed basis all-electron full-potential method (the PMT method), which uses the augmented plane waves (APWs) and the highly localized muffin-tin orbitals (MTOs) simultaneously. We call this PMT-QSGW. Because of the two kinds of augmented bases, we have efficient description of one-particle eigenfunctions in materials with small number of basis functions. In QSGW, we have to treat a static non-local exchange-correlation potential, which is generated from the self-energy. We expand the potential in the highly localized MTOs. This allows us to make stable interpolation of the self-energy in the whole Brillouin zone. In addition, we have improved the offset-Γ method for the Brillouin zone integration, so that we take into account the anisotropy of the screened Coulomb interaction in the calculation of the self-energy. For GaAs and cubic SiO2 , we checked convergence of calculated band gaps on cutoff parameters. PMT-QSGW is implemented in a first-principles electronic structure package ecalj, which is freely available from github.

cond-mat.mtrl-sci↗

arXiv2014

Quasiparticle self-consistent GW study of LaNiO$_3$ and LaNiO$_3$/LaAlO$_3$ superlattice

Using quasiparticle self-consistent $GW$ calculations we examined the electronic structure of LaNiO$_3$ and the LaNiO$_3$/LaAlO$_3$ superlattice. The effects of electron correlation in Ni-$d$ bands were reasonably well described without any {\it ad hoc} parameter and without the ambiguity related to the double-counting and downfolding issues. The effective mass is about $30\%$ enhanced compared to the GGA result. One band feature, which is believed to be essential for the cuprate-like superconductivity, is not realized and the central Fermi surface pocket does not disappear. Our result is consistent with a recent dynamical mean field calculation based on the $d$--$p$ model and in contrast to the result from a $d$-band only model.

cond-mat.str-el↗

arXiv2013

Effects of alloying and strain on the magnetic properties of Fe$_{16}$N$_2$

The electronic structure and magnetic properties of pure and doped {Fe$_{16}$N$_2$} systems have been studied in the local-density (LDA) and quasiparticle self-consistent {\emph{GW}} approximations. The {\emph{GW}} magnetic moment of pure {Fe$_{16}$N$_2$} is somewhat larger compared to LDA but not anomalously large. The effects of doping on magnetic moment and exchange coupling were analyzed using the coherent potential approximation. The theoretical Curie temperature in pure {Fe$_{16}$N$_2$} is significantly higher than the measured value, which is attributed to the quality of available samples and the interpretation of experimental results. We found that different Fe sites contribute very differently to the magnetocrystalline anisotropy energy (MAE), which offers a way to increase MAE by small additions of Co or Ti. MAE also increases under tetragonal strain.

cond-mat.mtrl-sci↗

arXiv2009

Re-examination of half-metallic ferromagnetism for doped LaMnO3 in quasiparticle self-consistent $GW$ method

We apply the quasiparicle self-consistent $GW$ (\qsgw) method to a cubic virtual-crystal alloy La$_{1-x}$Ba$_x$MnO$_3$ %(LBMO) as a theoretical representative for colossal magnetoresistive perovskite manganites. The \qsgw\ predicts it as a fully-polarized half-metallic ferromagnet for a wide range of $x$ and lattice constant. Calculated density of states and dielectric functions are consistent with experiments. In contrast, the energies of calculated spin wave are very low in comparison with experiments. This is affected neither by rhombohedral deformation nor the intrinsic deficiency in the \qsgw method. Thus we ends up with a conjecture that phonons related to the Jahn-Teller distortion should hybridize with spin waves more strongly than people thought until now.

cond-mat.mtrl-sci↗

arXiv2008

Impact ionization rates for Si, GaAs, InAs, ZnS, and GaN in the $GW$ approximation

We present first-principles calculations of the impact ionization rate (IIR) in the $GW$ approximation ($GW$A) for semiconductors. The IIR is calculated from the quasiparticle (QP) width in the $GW$A, since it can be identified as the decay rate of a QP into lower energy QP plus an independent electron-hole pair. The quasiparticle self-consistent $GW$ method was used to generate the noninteracting hamiltonian the $GW$A requires as input. Small empirical corrections were added so as to reproduce experimental band gaps. Our results are in reasonable agreement with previous work, though we observe some discrepancy. In particular we find high IIR at low energy in the narrow gap semiconductor InAs.

cond-mat.mtrl-sci↗

arXiv2008

First order metal-insulator transision in band overlap mechanism

We present a method to analyze the metal-insulator transition (MIT) due to the band overlap mechanism. It is based on a model with the knowledge of the homogeneous electron gas, combined with results based on the quasiparticle self-consistent $GW$ method. Because of the long-range nature of the Coulomb interaction, the MIT occurs as the first-order phase transition, that is, the band gap becomes negative (band overlap) suddenly at some critical lattice constant.

cond-mat.mtrl-sci↗

arXiv2008

A fusion of the LAPW and the LMTO methods: the augmented plane wave plus muffin-tin orbital (PMT) method

We present a new full-potential method to solve the one-body problem, for example, in the local density approximation. The method uses the augmented plane waves (APWs) and the generalized muffin-tin orbitals (MTOs) together as basis sets to represent the eigenfunctions. Since the MTOs can efficiently describe localized orbitals, e.g, transition metal 3$d$ orbitals, the total energy convergence with basis size is drastically improved in comparison with the linearized APW method. Required parameters to specify MTOs are given by atomic calculations in advance. Thus the robustness, reliability, easy-of-use, and efficiency at this method can be superior to the linearized APW and MTO methods. We show how it works in typical examples, Cu, Fe, Li, SrTiO$_3$, and GaAs.

cond-mat.mtrl-sci↗

arXiv2008

Strain-Induced Conduction Band Spin Splitting in GaAs from First Principles Calculations

We use a recently developed self-consistent GW approximation to present first principles calculations of the conduction band spin splitting in GaAs under [110] strain. The spin orbit interaction is taken into account as a perturbation to the scalar relativistic hamiltonian. These are the first calculations of conduction band spin splitting under deformation based on a quasiparticle approach; and because the self-consistent GW scheme accurately reproduces the relevant band parameters, it is expected to be a reliable predictor of spin splittings. We also discuss the spin relaxation time under [110] strain and show that it exhibits an in-plane anisotropy, which can be exploited to obtain the magnitude and sign of the conduction band spin splitting experimentally.

cond-mat.mtrl-sci↗

arXiv2008

Many-body Electronic Structure of Metallic alpha-Uranium

We present results for the electronic structure of alpha uranium using a recently developed quasiparticle self-consistent GW method (QSGW). This is the first time that the f-orbital electron-electron interactions in an actinide has been treated by a first-principles method beyond the level of the generalized gradient approximation (GGA) to the local density approximation (LDA). We show that the QSGW approximation predicts an f-level shift upwards of about 0.5 eV with respect to the other metallic s-d states and that there is a significant f-band narrowing when compared to LDA band-structure results. Nonetheless, because of the overall low f-electron occupation number in uranium, ground-state properties and the occupied band structure around the Fermi energy is not significantly affected. The correlations predominate in the unoccupied part of the f states. This provides the first formal justification for the success of LDA and GGA calculations in describing the ground-state properties of this material.

cond-mat.str-el↗

arXiv2008

Spin wave dispersion based on the quasiparticle self-consistent $GW$ method: NiO, MnO and $α$-MnAs

We present spin wave dispersions in MnO, NiO, and $α$-MnAs based on the quasiparticle self-consistent $GW$ method (\qsgw), which determines an optimum quasiparticle picture. For MnO and NiO, \qsgw results are in rather good agreement with experiments, in contrast to the LDA and LDA+U description. For $α$-MnAs, we find a collinear ferromagnetic ground state in \qsgw, while this phase is unstable in the LDA.

cond-mat.mtrl-sci↗

arXiv2007

Quasiparticle self-consistent $GW$ method; a basis for the independent-particle approximation

We have developed a new type of self-consistent scheme within the $GW$ approximation, which we call quasiparticle self-consistent $GW$ (QS$GW$). We have shown that QS$GW$ rather well describes energy bands for a wide-range of materials, including many where the local-density approximation fails. QS$GW$ contains physical effects found in other theories such as LDA$+U$, SIC and $GW$ in a satisfactory manner without many of their drawbacks (partitioning of itinerant and localized electrons, adjustable parameters, ambiguities in double-counting, etc.). We present some theoretical discussion concerning the formulation of QS$GW$, including a prescriptino for calculating the total energy. We also address several key methodological points needed for implementation. We then show convergence checks and some representative results in a variety of materials.

cond-mat.mtrl-sci↗

arXiv2007

GW method applied to localized 4f electron systems

We apply a recently developed quasiparticle self-consistent $GW$ method (QSGW) to Gd, Er, EuN, GdN, ErAs, YbN and GdAs. We show that QSGW combines advantages separately found in conventional $GW$ and LDA+$U$ theory, in a simple and fully \emph{ab initio} way. \qsgw reproduces the experimental occupied $4f$ levels well, though unoccupied levels are systematically overestimated. Properties of the Fermi surface responsible for electronic properties are in good agreement with available experimental data. GdN is predicted to be very near a critical point of a first-order metal-insulator transition.

cond-mat.mtrl-sci↗

arXiv2006

Elimination of the linearization error in GW calculations based on the linearized augmented-plane-wave method

This paper investigates the influence of the basis set on the GW self-energy correction in the full-potential linearized augmented-plane-wave (LAPW) approach and similar linearized all-electron methods. A systematic improvement is achieved by including local orbitals that are defined as second and higher energy derivatives of solutions to the radial scalar-relativistic Dirac equation and thus constitute a natural extension of the LAPW basis set. Within this approach linearization errors can be eliminated, and the basis set becomes complete. While the exchange contribution to the self-energy is little affected by the increased basis-set flexibility, the correlation contribution benefits from the better description of the unoccupied states, as do the quasiparticle energies. The resulting band gaps remain relatively unaffected, however; for Si we find an increase of 0.03 eV.

cond-mat.mtrl-sci↗