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Theoretical Physics

Publications for Igor Abrikosov

    High profile journal publications

  1. M. van Schilfgaarde, I. A. Abrikosov, and B. Johansson, "Origin of the Invar effect in iron- nickel alloys", Nature 400, 46 and the cover page (1999).
  2. L. Dubrovinsky, N. Dubrovinskaia, F. Langenhorst, D. Dobson, D. Rubie, C. Geshmann, I. A. Abrikosov, B. Johansson, V. I. Baykov, L. Vitos, T. Le Bihan, W. A. Crichton, V. Dmitriev, and H.-P. Weber, "Iron-silica interaction at extreme conditions and the electrically conducting layer at the base of Earth's mantle", Nature 422, 58 (2003).
  3. B. Johansson, I. A. Abrikosov, M. Alden, A. V. Ruban, and H. L. Skriver, "Calculated phase diagram for the transition in Ce", Phys. Rev. Lett. 74, 2335 (1995).
  4. I. A. Abrikosov, A. M. N. Niklasson, S. I. Simak, B. Johansson, A. V. Ruban, and H. L. Skriver, "Order-N Green's function technique for local environment effects in alloys", Phys. Rev. Lett. 76, 4203 (1996).
  5. S. I. Simak, U. Häußermann, I. A. Abrikosov, O. Eriksson, J. Wills, S. Lidin, and B. Johansson, "Stability of anomalous large void CoSn structure", Phys. Rev. Lett. 79, 1333 (1997).
  6. S. I. Simak, A. V. Ruban, I. A. Abrikosov, H. L. Skriver, and B. Johansson, "Ordered phases in Cu2NiZn: A first-principles Monte Carlo study", Phys. Rev. Lett. 81, 188 (1998).
  7. U. Häußermann, S. I. Simak, I. A. Abrikosov, B. Johansson, and S. Lidin, "Electronically Induced Phase Transitions in Ternary Transition Metal Distannide Systems", J. Am. Chem. Soc. 120, 10136 (1998).
  8. L. Dubrovinsky, N. Dubrovinskaia, I. A. Abrikosov, M. Vennström, F. Westman, S. Carlson, M. van Schilfgaarde, and B. Jonansson, "Pressure induced Invar effect in Fe-Ni alloys", Phys. Rev. Lett. 86, 4851 (2001).
  9. I. A. Abrikosov, W. Olovsson, and B. Johansson, "Valence band hybridization and core level shifts in random AgPd alloys", Phys. Rev. Lett. 87, 176403 (2001).
  10. L. Vitos, I. A. Abrikosov, and B. Johansson, "Anisotropic lattice distortions in random alloys From first-principles theory", Phys. Rev. Lett. 87, 156401 and the cover page (2001).
  11. P. A. Korzhavyi, I. A. Abrikosov, E. A. Smirnova, L. Bergqvist, P. Mohn, R. Mathieu, P. Svedlindh, J. Sadowski, E. I. Isaev, Yu. Kh. Vekilov, and O.~Eriksson, "Defect induced magnetic structure in (Ga1-xMnx)As" Phys. Rev. Lett. 88, 187202 (2002).
  12. N. V. Skorodumova, S. I. Simak, B. I. Lundqvist, I. A. Abrikosov, and B. Johansson, "Quantum origin of the oxygen storage capability of ceria", Phys. Rev. Lett. 89, 166601 (2002).
  13. L. V. Pourovskii, A. V. Ruban, B. Johansson, and I. A. Abrikosov, "Antisite-defect induced surface segregation in ordered NiPt alloy", Phys. Rev. Lett. 90, 026105 (2003). L. V. Pourovskii, A. V. Ruban, B. Johansson, and I. A. Abrikosov, "Antisite-defect induced surface segregation in ordered NiPt alloy", Phys. Rev. Lett. 90, 026105 (2003).
  14. E. Holmström, L. Nordström, L. Bergqvist, B. Skubic, B. Hjörvarsson, I. A. Abrikosov, P. Svedlindh, and O. Eriksson, "On the sharpness of the interfaces in metallic multilayers", PNAS 101, 4742 (2004).
  15. W. Olovsson, I. A. Abrikosov, B. Johansson, A. Newton, R. J. Cole, and P. Weightman, "Auger energy shifts in fcc AgPd random alloys from complete screening picture and experiment", Phys. Rev. Lett. 92, 226406 (2004).

  16. Papers in scientific journals with referee system

  17. I. A. Abrikosov, Yu. Kh. Vekilov, and A. V. Ruban, "The self-consistent electronic structure of impurity atoms in copper", Russian journal of inorganic chemistry 35 1046 (1990).
  18. I. A. Abrikosov, Yu. Kh. Vekilov, A. V. Ruban, and S. I. Simak, "A "first-principle" calculation of the residual resistivity and thermoelectric power of copper and aluminum alloys", Soviet physics, Doklady 35 961 (1990).
  19. I. A. Abrikosov, Yu. H. Vekilov, and A. V. Ruban, "Generalization of LMTO-Green-function method to concentrated solid solutions in the coherent potential approximation", Soviet physics, Solid state 32 2004 (1990).
  20. I. A. Abrikosov, Yu. H. Vekilov, and A. V. Ruban, "Fast LMTO-CPA method for electronic structure calculations of disordered alloys: application to Cu-Ni and Cu-Au systems", Phys. Lett. A 154 407 (1991).
  21. I. A. Abrikosov, Yu. H. Vekilov, A. V. Ruban, and D. Ya. Kats, "The investigation of electronic and thermodynamic properties of disordered Ni-Al alloys", Solid State Commun. 80 177 (1991).
  22. I. A. Abrikosov, Yu. Kh. Vekilov, P. A. Korzhavyi, A. V. Ruban, and L. E. Shilkrot, "Electronic topological transition in Li-Mg", Soviet physics, Solid state 34 1566 (1992).
  23. I. A. Abrikosov, Yu. H. Vekilov, P. A. Korzhavyi, A. V. Ruban, and L. E. Shilkrot, "Ab initio calculations of the electronic topological transition in Li-Mg alloys", Solid State Commun. 83 867 (1992).
  24. I. A. Abrikosov, A. V. Ruban, D. Ya. Kats, and Yu. H. Vekilov, "Electronic structure, thermodynamic and thermal properties of Ni-Al disordered alloys from LMTO-CPA-DFT calculations", J. Phys.: Condens. Matter 5 1271 (1993).
  25. I. A. Abrikosov and H. L. Skriver, "Self-consistent linear muffin-tin orbitals coherent-potential technique for bulk and surface calculations: Cu-Ni, Ag-Pd, and Au-Pt random alloys", Phys. Rev. B 47 16532 (1993).
  26. A. V. Ruban, I. A. Abrikosov, D. Ya. Kats, D. Gorelikov, K. W. Jacobsen, and H. L. Skriver "Self-consistent electronic structure and segregation profiles of the Cu-Ni (001) random-alloy surface", Phys. Rev. B 49 11383 (1994).
  27. I. A. Abrikosov, A. V. Ruban, H. L. Skriver, and B. Johansson "Calculated orientation dependence of surface segregations in Pt$_{50}$Ni$_{50}$", Phys. Rev. B 50 2039 (1994 as Rapid Communication).
  28. M. Aldén, I. A. Abrikosov, B. Johansson, N. M. Rosengaard, and H. L. Skriver "Self-consistent Green's function technique for bulk and surface impurity calculations: Surface core-level shifts by complete screening", Phys. Rev. B 50 5131 (1994).
  29. I. A. Abrikosov, O. Eriksson, P. Söderlind, H. L. Skriver, and B. Johansson "Theoretical aspects of the Fe$_c$Ni$_{1-c}$ Invar alloy", Phys. Rev. B 51 1058 (1995).
  30. M. Aldén, H. L. Skriver, I. A. Abrikosov, and B. Johansson, "Origin of metallic surface core level shifts", Phys. Rev. B 51 1981 (1995).
  31. B. Johansson, I. A. Abrikosov, M. Aldén, A. V. Ruban, and H. L. Skriver, "Calculated phase diagram for the gamma to alpha transition in Ce", Phys. Rev. Lett. 74 2335 (1995).
  32. P. A. Korzhavyi, A. V. Ruban, I. A. Abrikosov, and H. L. Skriver "Madelung energy for random alloys in the coherent potential approximation",Phys. Rev. B 51 5773 (1995).
  33. A. V. Ruban, I. A. Abrikosov, and H. L. Skriver, "Electronic structure and thermodynamic properties of ordered, partially ordered and random Cu-Au and Ni-Pt alloys", Phys. Rev. B 51 12958 (1995).
  34. I. A. Abrikosov, Yu. Kh. Vekilov, A. V. Ruban, and S. I. Simak, "Calculation of electronic and thermodynamic characteristics of random copper-nickel alloys in coherent potential approximation", Russian-Metallurgy No. 5, 50 (1995).
  35. I. A. Abrikosov, P. James, O. Eriksson, P. Söderlind, A. V. Ruban, H. L. Skriver, and B. Johansson, "Magnetically induced crystal structure and phase stability in Fe1-cCoc", Phys. Rev. B 54, 3380 (1996).
  36. S. Mirbt, I. A. Abrikosov, B. Johansson, and H. L. Skriver, "Magnetic properties of Fe embedded in V and Cr: Thin films and dilute alloys", Phys. Rev. B 55, 67 (1997).
  37. U. Häußermann, S. I. Simak, I. A. Abrikosov, and S. Lidin, "Structure of -gallium and its relation to deltahedral clusters", Chem. Eur. J. 3, 904 (1997).
  38. I. A. Abrikosov, S. I. Simak, B. Johansson, A. V. Ruban, and H. L. Skriver, "Locally self- consistent Green's function approach to electronic structure problem", Phys. Rev. B 56, 9319 (1997).
  39. P. A. Korzhavyi, E. A. Smirnova, I. E. Eybelman, I. A. Abrikosov, A. V. Ruban, and Yu. Kh. Vekilov, "The nature of isostructural spinodal decomposition in Al-Zn system", Phys. Solid State 39, 515 (1997).
  40. I. A. Abrikosov, A. V. Ruban, B. Johansson, and H. L. Skriver, "Total energy calculations of random alloys: supercell, Connolly-Williams and CPA methods", Comput. Mater. Sci. 10, 302 (1998).
  41. I. A. Abrikosov and B. Johansson, "Applicability of the coherent potential approximation in the theory of random alloys", Phys. Rev. B 57, 14164 (1998).
  42. N. V. Skorodumova, S. I. Simak, I. A. Abrikosov, B. Johansson, and Yu. Kh. Vekilov, "Electronic topological transitions in Mo-Re random alloys", Phys. Rev. B 57, 14673 (1998).
  43. A. M. N. Niklasson, I. A. Abrikosov, and B. Johansson, "Interface mixing energy: a measure of interface stability", Phys. Rev. B 58, 3613 (1998).
  44. I. A. Abrikosov and B. Johansson, "Application of O(N) LSGF method for calculation of systems with non-collinear magnetic configurations", Philos. Mag. B 78, 481 (1998).
  45. N. V. Skorodumova, I. A. Abrikosov, S. I. Simak, B. Johansson, and Yu. Kh. Vekilov, "Exchange Coupling in Fe/(Mo1-xRex)nFe (100) and (110) Multilayers", Philos. Mag. B 78, 565 (1998).
  46. L. V. Pourovsky, I. A. Abrikosov, N. V. Skorodumova, B. Johansson, and Yu. Kh. Vekilov, "Surface energies and magnetic properties of Ni monolayer on Cu (001) substrate", Phys. Low-Dim. Str. 9/10, 133 (1998).
  47. P. James, O. Eriksson, B. Johansson, and I. A. Abrikosov, "Calculated magnetic properties of binary alloys between Fe, Co, Ni and Cu", Phys. Rev. B 59, 419 (1999).
  48. P. A. Korzhavyi, I. A. Abrikosov, B. Johansson, A. V. Ruban, and H. L. Skriver, "First- principles calculations of the vacancy formation energy in transition and noble metals", Phys. Rev. B 59, 11693 (1999).
  49. P. A. Korzhavyi, I. A. Abrikosov, and B. Johansson, "Theoretical investigation of S solubility in pure Cu and dilute Cu-based alloys", Acta Mater. 47, 1417 (1999).
  50. P. A. Korzhavyi, A. Yu. Lozovoi, A. V. Ruban, I. A. Abrikosov, Yu. Kh. Vekilov, and B. Johansson, "Ab initio study of point defects in off-stoichiometric NiAl", Metallofiz. Noveishie Technol. 21, 49 (1999).
  51. L. V. Pourovskii, N. V. Skorodumova, Yu. Kh. Vekilov, B. Johansson, and I. A. Abrikosov, "Calculated properties of surface and subsurface Ni monolayers on Cu", Surf. Sci. 439, 111 (1999).
  52. E. A. Smirnova, I. A. Abrikosov, Yu. Kh. Vekilov, B. Johansson, A. N. Baranov, V. S. Stepanyuk, W. Hergert, P. H. Dederichs, "Calculated magnetic properties of FeNi monolayers on Cu(100)", Phys. Rev. B 59, 14417 (1999).
  53. A. Y. Lozovoi, K. V. Ponomarev, Yu. Kh. Vekilov, P. A. Korzhavyi, and I. A. Abrikosov, "First-principles investigation of thermal point defects in B2NiAl", Phys. Solid State 41, 1494 (1999).
  54. P. A. Korzhavyi, A. V. Ruban, A. Yu. Lozovoi, Yu. Kh. Vekilov, I. A. Abrikosov, and B. Johansson, "Constitutional and thermal point defects in B2 NiAl" Phys. Rev. B 61, 6003 (2000).
  55. N. A. Dubrovinskaia, M. Vennström, I. A. Abrikosov, R. Ahuja, P. Ravindran, Y. Andersson, O. Eriksson, V. Dmitriev, and L. S. Dubrovinsky, "Absence of a pressure induced structural transition in Ti3Al up to 25 GPa", Phys. Rev. B 63, 024106 (2001).
  56. E. A. Smirnova, A. Korzhavyi, Yu. Kh. Vekilov, B. Johansson, and I. A. Abrikosov, "Origin of the Asymmetric Spinodal Decomposition in the Al-Zn System" Phys. Rev. B 64, 020101(R) (2001 as Rapid Communcation)
  57. N. V. Skorodumova, R. Ahuja, S. I. Simak, I. A. Abrikosov, B. Johansson, and B. I. Lundqvist, "Electronic, bonding and optical properties of CeO2 and Ce2O3 from first principles", Phys. Rev. B 64, 115108 (2001).
  58. L. V. Pourovskii, A. V. Ruban, I. A. Abrikosov, Y. Kh. Vekilov and B. Johansson, "Bulk ordering and surface segregation in Ni50Pt50", Phys. Rev. B 64, 035421 (2001).
  59. L. V. Poyurovskii, A. V. Ruban, I. A. Abrikosov, Y. Kh. Vekilov and B. Johansson, "Application of the Monte-Carlo method to the problem of surface segregation simulation", JETP Letters 73, 415 (2001).
  60. E. I. Isaev, L. V. Pourovskii, A. M. N. Niklasson, Yu. Kh. Vekilov, B. Johansson, and I.A. Abrikosov, "Magnetic properties of Co/Cu/Ni trilayer on the Cu(100) surface", Phys. Rev. B 65, 024435 (2002).
  61. A. V. Ponomareva, L. V. Pourovskii, E. I. Isaev, Yu. Kh. Vekilov, I. A. Abrikosov, and B. Johansson, "Surface magnetism of the PdV binary alloys", Physics of Low Dimensional Structures, 1-2, 347 (2002).
  62. E. A. Smirnova, A. Korzhavyi, Yu. Kh. Vekilov, B. Johansson, and I. A. Abrikosov, "Electronic topological transitions and phase stabilities of fcc Al-Zn alloys", Eur. Phys. J. B 30, 57 (2002).
  63. A. I. Landa, C.-C. Chang, P. N. Kumta, L. Vitos, and I. A. Abrikosov, "Phase stability of Li(Mn100-xCox)O2" oxides: an ab initio study", Solid State Ionics 149, 209 (2002).
  64. E. A. Smirnova, R. Ahuja, Yu. Kh. Vekilov, B. Johansson, Y. K. Vohra, and I. A. Abrikosov, "Effect of band filling on the pressure-induced structural transition in Mo-Re alloys", Phys. Rev. B 66, 024110 (2002).
  65. W. Olovsson, I. A. Abrikosov, and B. Johansson, "Core level shift in random CuPd and AgPd alloys by the complete screening picture", J. Electron Spectr. Rel. Phenomena 127, 65 (2002).
  66. A.V. Ponomareva, L. V. Pourovskii, E. I. Isaev, Yu. Kh. Vekilov, B. Johansson, and I. A. Abrikosov, "Surface magnetism of vanadium-based binary alloys: First-principles investigations", J. Magn. Magn. Mater. 258-259, 128 (2003).
  67. L. Bergqvist, P. A. Korzhavyi, B. Sanyal, S. Mirbt, I. A. Abrikosov, L. Nordström, E. A. Smirnova, P. Mohn, P. Svedlindh, and O. Eriksson, "Magnetic and electronic structure of (Ga1-xMnx)As", Phys. Rev. B 67, 205201 (2003).
  68. P. Olsson, I. A. Abrikosov, L. Vitos, and J. Wallenius, "Ab initio formation energies of Fe-Cr alloys", J. Nucl. Mat. 321, 84 (2003).
  69. A. M. N. Niklasson, J. M. Wills, M. I. Katsnelson, I. A. Abrikosov, O. Eriksson, and B. Johansson, "Modeling the actinides with disordered local moments", Phys. Rev. B 67, 235105 (2003).
  70. L. Chioncel, L. Vitos, I. A. Abrikosov, J.Kollar, M. I. Katsnelson, and A. I. Lichtenstein, "Ab-initio electronic structure calculations of correlated systems: An EMTO-DMFT approach", Phys. Rev. B 67, 235106 (2003).
  71. A. V. Ponomareva, L. V. Pourovskii, E. I. Isaev, Y. Kh. Vekilov, B. Johansson, and I. A. Abrikosov, "Magnetization of the unsegregated and segregated (100) surface of MoV binary alloy", Phys. Rev. B 68, 064409 (2003).
  72. W. Olovsson, E. Holmström, A. Sandell, and I. A. Abrikosov, " Core level shifts for surface bimetallic systems from first principles theory: Pd-Mn structures on Pd(100)", Phys. Rev. B 68, 045411 (2003).
  73. E. I. Isaev, A. I. Lichtenstein, Yu. Kh. Vekilov, E. A. Smirnova, I. A. Abrikosov, S. I. Simak, R. Ahuja, and B. Johansson, "Ab initio phonon calculations for L12 Ni3Al and B2 NiAl", Solid State Commun. 129, 809 (2004).
  74. A. V. Ponomareva, E. I. Isaev, L. V. Pourovskii, Yu. Kh. Vekilov, B. Johansson, and I.A. Abrikosov, "Ab-initio investigations of surface magnetism in V-Mo", J. Magn. Magn. Mater. (accepted, available online at www.sciencedirect.com).
  75. E. I. Isaev, V. I. Baykov, P. A. Korzhavyi, Yu. Kh. Vekilov, B. Johansson, I. A. Abrikosov,and O. Eriksson, "Intrinsic defects and transition metal impurities in GaAs", J. Magn. Magn. Mater. (accepted, available online at www.sciencedirect.com).
  76. H. W. Hugosson, O. Eriksson, U. Jansson, A. V. Ruban, P. Souvatzis, and I. A. Abrikosov, "Surface energies and work functions of the transition metal carbides", Surf. Sci. (accepted, available online at www.sciencedirect.com).
  77. J. Wallenius, I. A. Abrikosov, R. Chakarova, C. Lagerstedt, L. Malerba, P. Olsson, V. Pontikis, N. Sandberg, D. Terentyev, "Development of an EAM potential for simulation of radiation damage in Fe-Cr alloys", J. Nucl. Mat. (accepted).

  78. Papers in conference proceedings with referee system

  79. I. A. Abrikosov, "Electronic structure of dilute copper-based alloys", in Structural, Mechanical and Physical Properties of Metallic Materials, edited by M. Blanter (Moscow, 1989), P. 113.
  80. I. A. Abrikosov, S. I. Simak, and B. Johansson, "Total energy calculations of random alloys: Locally self-consistent Green's function method" in Properties of Complex Inorganic Solids, edited by A. Gonis, A. Meike, and P. E. A. Turchi (Plenum, NY, 1997), P. 115.
  81. P. Söderlind, I. A. Abrikosov, P. James, B. Johansson, and O. Eriksson, "Crystal structure and phase stability in Fe$_1-cCoc from ab initio theory" in Properties of Complex Inorganic Solids, edited by A. Gonis, A. Meike, and P. E. A. Turchi (Plenum, NY, 1997), P. 13.
  82. P. James, I. A. Abrikosov, O. Eriksson, and B. Johansson, "Structural stability of Fe-based alloys" in Properties of Complex Inorganic Solids, edited by A. Gonis, A. Meike, and P. E. A. Turchi (Plenum, NY, 1997), P. 57.
  83. A. M. N. Niklasson, I. A. Abrikosov, H. L. Skriver, and B. Johansson, "Effects of interface intermixing on the magnetic interlayer coupling" in Properties of Complex Inorganic Solids, edited by A. Gonis, A. Meike, and P. E. A. Turchi (Plenum, NY, 1997), P. 239.
  84. A. I. Landa, A. V. Ruban,I. A. Abrikosov, P. Winblatt, and H. L. Skriver, "Co-segregation at the surface of a Pb-Bi-Ni alloy", Mat. Res. Soc. Symp. Proc. 440, 467 (1997).
  85. P. A. Korzhavyi, I. A. Abrikosov, and B. Johansson, "Theoretical investigations of the defect interactions in dilute copper alloys intended for nuclear waste containers" in Scientific Basis for Nuclear Waste Management XXII, Edited by D.J. Wronkiecicz, J.H. Lee, (Mater. Res. Soc. Proc. Vol.556, Pittsburgh, PA, 1999) pp. 895.
  86. P. A. Korzhavyi, I. A. Abrikosov, and B. Johansson, "Constitutional and thermal defects in nickel aluminides" in High-Temperature Ordered Intermetallic Alloys VIII, Edited by E.P. George, M. Yamaguchi, and M.J. Mills, (Mater. Res. Soc. Proc. Vol.552, Pittsburgh, PA, 1999) pp. KK5.35.1-8. ISBN: 1-55899-458-0.
  87. P. James, O. Eriksson, R. Ahuja, and I. A. Abrikosov, "Structural stability and mixing energy of 3d alloys: A comparison of theoretical methods" in Proceedings of Moscow International Symposium on Magnetism. Part 1 edited by A. Granovsky and N. Perov (Moscow, 1999), P. 109.
  88. E. A. Smirnova, I. A. Abrikosov, B. Johansson, Yu. Kh. Vekilov, A. N. Baranov, V. S. Stepanyuk, W. Hergert, P. H.Dederichs, "Magnetic moments of Fe-Ni thin films on Cu(100)", in Proceedings of Moscow International Symposium on Magnetism. part 2, edited by A. Granovsky and N. Perov (Moscow, 1999), P. 71.
  89. P. A. Korzhavyi, I. A. Abrikosov, and B. Johansson, "Ab initio study of vacancies in metals and compounds" in Properties of Complex Inorganic Solids. 2, edited by A. Meike, A.Gonis, P. E. A. Turchi, and K. Rajan, (Kluwer Academic/Plenum Publishers, NY, 2000), P. 63.
  90. P. A. Korzhavyi, I. A. Abrikosov, and B. Johansson, "Theoretical study of bulk and surface properties of digenite Cu2-?S", in Scientific Basis for Nuclear Waste Management XXIII, edited by R. W. Smith and D. W. Shoesmith, (Mater. Res. Soc. Proc. Vol.608, Pittsburgh, PA, 2000) to be published. ISBN: 1-55899-516-1.
  91. A. I. Landa, C.-C. Chang, P. N. Kumta, B. Magyari-Köpe, L. Vitos, R. Ahuja, and I.A. Abrikosov, "First-Principles Simulations of Phase Stability in Stoichiometric and Doped LiMnO2", in Advanced in Materials Theory and Modeling-Bridging Over Multiple-Length and Time Scales, edited by Vasily V. Bulatov, Fabrizio Cleri, Luciano Colombo, Laurent J., Normand Mousseau, (Mater. Res. Soc. Proc. Vol.677, Pittsburgh, PA, 2001) P. AA4.16.1-6.
  92. L. Vitos, I. A. Abrikosov, and B. Johansson, "Coherent Potential Approximation within the Exact Muffin-Tin Orbitals Theory" (accepted).

  93. Chapters in Books

  94. I. A. Abrikosov, P. A. Korzhavyi, and B. Johansson, "Locally self-consistent Green's function method and its application in theory of random alloys" in Electronic structure and physical properties of solids. The uses of the LMTO method, edited by H. Dreysse, Lectures Notes in Physics, (Springer, Berlin, 2000), P. 379 (invited paper).