First-principles calculations of electronic structure and spectra of strongly correlated systems: the LDA+U method

The generalization of the Local Density Approximation (LDA) method for the systems with strong Coulomb correlations is presented which gives a correct description of the Mott insulators. The LDA+U method is based on the model hamiltonian approach and allows to take into account the non-sphericity of the Coulomb and exchange interactions. parameters. Orbital-dependent LDA+U potential gives correct orbital polarization and corresponding Jahn-Teller distortion. To calculate the spectra of the strongly correlated systems the impurity Anderson model should be solved with a many-electron trial wave function. All parameters of the many-electron hamiltonian are taken from LDA+U calculations. The method was applied to NiO and has shown good agreement with experimental photoemission spectra and with the oxygen Kα X-ray emission spectrum.

[1]  Fu,et al.  Model for a strongly correlated insulator: FeSi. , 1994, Physical review. B, Condensed matter.

[2]  Norman,et al.  Fermi surface of field-induced ferromagnetic CeSb. , 1986, Physical review. B, Condensed matter.

[3]  Liechtenstein,et al.  Electronic structure and magnetic properties of 3d impurities in ferromagnetic metals. , 1988, Physical review. B, Condensed matter.

[4]  R. Silver,et al.  Strongly Correlated Electronic Materials , 1994 .

[5]  Philip W. Anderson,et al.  Localized Magnetic States in Metals , 1961 .

[6]  O. Gunnarsson,et al.  Density-functional calculation of effective Coulomb interactions in metals. , 1991, Physical review. B, Condensed matter.

[7]  V. Anisimov,et al.  LDA + U calculations for 4d impurities in Rb , 1992 .

[8]  Aryasetiawan Self-energy of ferromagnetic nickel in the GW approximation. , 1992, Physical review. B, Condensed matter.

[9]  J. Goodenough,et al.  Some magnetic and crystallographic properties of the system Li+xNi++1−2xni+++xO , 1958 .

[10]  M. Hutchings,et al.  Spin wave energy dispersion in KCuF3: a nearly one-dimensional spin-1/2 antiferromagnet , 1979 .

[11]  Tajima,et al.  Temperature-induced magnetism in FeSi. , 1987, Physical Review Letters.

[12]  J. Zaanen,et al.  Spin bags, polarons, and impurity potentials in La2-xSrxCuO4 from first principles. , 1992, Physical review letters.

[13]  Shen,et al.  Local singlet for CuO and Nd2CuO4. , 1990, Physical review. B, Condensed matter.

[14]  M. Schlüter,et al.  Self-energy operators and exchange-correlation potentials in semiconductors. , 1988, Physical review. B, Condensed matter.

[15]  R. Mclellan A statistical mechanical model for solid solutions of hydrogen in the metals niobium, vanadium and tantalum , 1975 .

[16]  Liechtenstein,et al.  Quantitative model for the superconductivity suppression in R1-xPrxBa2Cu3O7 with different rare earths. , 1995, Physical review letters.

[17]  G. Sawatzky,et al.  Oxygen 1s x-ray-absorption edges of transition-metal oxides. , 1989, Physical review. B, Condensed matter.

[18]  Tung,et al.  Global QCD analysis and the CTEQ parton distributions. , 1994, Physical Review D, Particles and fields.

[19]  Zhang,et al.  Effective Hamiltonian for the superconducting Cu oxides. , 1988, Physical review. B, Condensed matter.

[20]  Norman,et al.  Momentum Dependence of the Superconducting Gap in Bi2Sr2CaCu2O8. , 1995, Physical review letters.

[21]  Weber Electron-phonon interaction in the new superconductors La2-x(Ba,Sr)xCuO4. , 1987, Physical review letters.

[22]  P. Dederichs,et al.  Corrected atomic limit in the local-density approximation and the electronic structure of d impurities in Rb. , 1994, Physical review. B, Condensed matter.

[23]  V. A. Gubanov,et al.  Local spin density functional approach to the theory of exchange interactions in ferromagnetic metals and alloys , 1987 .

[24]  Fink,et al.  Valence bands and electron correlation in the high-Tc superconductors. , 1988, Physical review. B, Condensed matter.

[25]  L. Walker,et al.  Paramagnetic Excited State of FeSi , 1967 .

[26]  Rice,et al.  Unusual electronic structure of PrBa2Cu3O7. , 1993, Physical review letters.

[27]  Kuiper,et al.  Character of holes in LixNi1-xO and their magnetic behavior. , 1989, Physical review letters.

[28]  P. Fischer,et al.  Magnetic phase transitions of CeSb. I. Zero applied magnetic field , 1978 .

[29]  Fisk,et al.  Thermodynamics of FeSi. , 1995, Physical review. B, Condensed matter.

[30]  D. Eastman,et al.  Photoemission Partial State Densities of Overlapping p and d States for NiO, CoO, FeO, MnO, and Cr 2 O 3 , 1975 .

[31]  A. Fujimori,et al.  Valence-band photoemission and optical absorption in nickel compounds , 1984 .

[32]  O. Sakai,et al.  Electronic structures in cerium monopnictides , 1987 .

[33]  E. Verwey,et al.  Physical Properties and Cation Arrangement of Oxides with Spinel Structures II. Electronic Conductivity , 1947 .

[34]  G. V. Chester,et al.  Solid-State Physics , 1962, Nature.

[35]  O. Gunnarsson,et al.  Density-functional calculation of the parameters in the Anderson model: Application to Mn in CdTe. , 1989, Physical review. B, Condensed matter.

[36]  Tajima,et al.  Spin fluctuations in the temperature-induced paramagnet FeSi. , 1988, Physical review. B, Condensed matter.

[37]  S. Satija,et al.  Neutron scattering study of spin waves in one-dimensional antiferromagnet KCuF 3 , 1980 .

[38]  V. Anisimov,et al.  Band theory and Mott insulators: Hubbard U instead of Stoner I. , 1991, Physical review. B, Condensed matter.

[39]  Akira Yanase,et al.  Band Structure in the High Temperature Phase of Fe3O4 , 1984 .

[40]  H. Kadowaki,et al.  Experimental Studies of Triangular Lattice Antiferromagnets with S=1/2: NaTiO2 and LiNiO2 , 1985 .

[41]  P. Hohenberg,et al.  Inhomogeneous Electron Gas , 1964 .

[42]  G. Shirane,et al.  Crystal symmetry of the low temperature phase of magnetite , 1975 .

[43]  Neumann,et al.  Electronic structure and lattice relaxation related to Fe in MgO. , 1994, Physical Review B (Condensed Matter).

[44]  P. Fischer,et al.  Magnetic phase transitions of CeSb. II. Effects of applied magnetic fields , 1978 .

[45]  J. A. White,et al.  Operator Techniques in Atomic Spectroscopy , 1998 .

[46]  O. K. Andersen,et al.  Linear methods in band theory , 1975 .

[47]  W. Kohn,et al.  Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .

[48]  Hybertsen,et al.  Renormalization from density-functional theory to strong-coupling models for electronic states in Cu-O materials. , 1990, Physical review. B, Condensed matter.

[49]  G. Sawatzky,et al.  Intermediate-spin state and properties of LaCoO3. , 1996, Physical review. B, Condensed matter.

[50]  Thole,et al.  2p x-ray absorption of 3d transition-metal compounds: An atomic multiplet description including the crystal field. , 1990, Physical review. B, Condensed matter.

[51]  S. Massidda,et al.  Hartree-Fock LAPW approach to the electronic properties of periodic systems. , 1993, Physical review. B, Condensed matter.

[52]  Takahashi,et al.  High-resolution photoemission spectroscopy of the Verwey transition in Fe3O4. , 1995, Physical review. B, Condensed matter.

[53]  Vladimir I. Anisimov,et al.  Calculation of magneto-optical properties for 4f systems: LSDA + Hubbard U results , 1995 .

[54]  G. Sawatzky,et al.  Density-functional theory and NiO photoemission spectra. , 1993, Physical review. B, Condensed matter.

[55]  Zhang,et al.  Electron states, magnetism, and the Verwey transition in magnetite. , 1991, Physical review. B, Condensed matter.

[56]  J. Zaanen,et al.  Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators. , 1995, Physical review. B, Condensed matter.

[57]  W. Klemm,et al.  Zur Kenntnis der Niccolate der Alkalimetalle , 1964 .

[58]  Jepsen,et al.  Plane dimpling and saddle-point bifurcation in the band structures of optimally doped high-temperature superconductors: A tight-binding model. , 1994, Physical review. B, Condensed matter.

[59]  Hamada,et al.  Charge-ordered insulating state of Fe3O4 from first-principles electronic structure calculations. , 1996, Physical review. B, Condensed matter.

[60]  G. Sawatzky,et al.  The electronic structure and superexchange interactions in transition-metal compounds , 1987 .

[61]  S. Evangelou,et al.  Temperature-induced local moments in MnSi and FeSi , 1983 .

[62]  T. Moriya,et al.  A Theory of Nearly Ferromagnetic Semiconductors , 1979 .

[63]  Kuiper,et al.  First-principles calculation of NiO valence spectra in the impurity-Anderson-model approximation. , 1994, Physical review. B, Condensed matter.

[64]  G. Shirane,et al.  Study of the 123-K phase transition of magnetite by critical neutron scattering , 1975 .

[65]  Gunnarsson,et al.  Electronic structure of NiO in the GW approximation. , 1995, Physical review letters.

[66]  Rice,et al.  Singlet semiconductor to ferromagnetic metal transition in FeSi. , 1996, Physical review letters.

[67]  E. Verwey,et al.  Electronic conductivity and transition point of magnetite (“Fe3O4”) , 1941 .

[68]  D. Scalapino,et al.  Conserving approximations for strongly fluctuating electron systems. I. Formalism and calculational approach , 1989 .

[69]  L. Hedin NEW METHOD FOR CALCULATING THE ONE-PARTICLE GREEN'S FUNCTION WITH APPLICATION TO THE ELECTRON-GAS PROBLEM , 1965 .

[70]  P. M. Raccah,et al.  First-order localized-electron collective-electron transition in LaCoO3 , 1967 .

[71]  Okamoto,et al.  Optical and magnetic properties of the halogen-bridged metal complexes modified by hydrogen bondings: {M(1R,2R-cyclohexanediamine)2Br}Br2 (M=Pt, Pd, and Ni). , 1990, Physical review. B, Condensed matter.

[72]  Jones,et al.  Magnetic, transport, and structural properties of Fe1-xIrxSi. , 1994, Physical review. B, Condensed matter.

[73]  Mason,et al.  Spin gap and antiferromagnetic correlations in the Kondo insulator CeNiSn. , 1992, Physical review letters.

[74]  Gross,et al.  Observation of a local magnetic 4d moment and its spin dynamics. , 1987, Physical review letters.

[75]  Gunnarsson,et al.  Transition-metal oxides in the self-interaction-corrected density-functional formalism. , 1990, Physical review letters.

[76]  Allen,et al.  Band gaps and electronic structure of transition-metal compounds. , 1985, Physical review letters.

[77]  W. Krauth,et al.  Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions , 1996 .

[78]  Gross,et al.  Experimental and theoretical study of the magnetism and local lattice structure of d ions in alkali-metal hosts. , 1989, Physical review letters.

[79]  Hamann,et al.  Band structure and semiconducting properties of FeSi. , 1993, Physical review. B, Condensed matter.

[80]  Higuchi,et al.  Neutron-scattering study of the spin-state transition and magnetic correlations in La1-xSrxCoO3 (x=0 and 0.08). , 1994, Physical review. B, Condensed matter.