Skip to main content

KKR Green’s Function Method in Reciprocal and Real Space

  • Conference paper
  • First Online:
Multiple Scattering Theory for Spectroscopies

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 204))

  • 956 Accesses

Abstract

The Korringa–Kohn–Rostoker (KKR) method is a very flexible band structure technique which is based on the multiple scattering formalism. In contrast to many other band structure methods, which are based on a representation of the electronic structure in terms of Bloch wave functions, the KKR method represents the properties of solids in terms of Green’s functions. In this chapter we demonstrate the flexibility of the KKR method as a tool to describe spectroscopic aspects such as x-ray absorption spectra theory and one-step model of photoemission.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. H. Ebert, D. Ködderitzsch, J. Minár, Rep. Prog. Phys. 74, 096501 (2011)

    ADS  Google Scholar 

  2. O.K. Andersen, Phys. Rev. B 12, 3060 (1975)

    ADS  Google Scholar 

  3. J. Korringa, Physica 13, 392 (1947)

    ADS  MathSciNet  Google Scholar 

  4. W. Kohn, N. Rostoker, Phys. Rev. 94, 1111 (1954)

    ADS  Google Scholar 

  5. J.S. Faulkner, J. Phys. C Solid State Phys. 10, 4661 (1977)

    ADS  Google Scholar 

  6. J.L. Beeby, Proc. R. Soc. Lond. A 302, 113 (1977)

    ADS  Google Scholar 

  7. J.S. Faulkner, Phys. Rev. B 19, 6186 (1979)

    ADS  Google Scholar 

  8. J.S. Faulkner, G.M. Stocks, Phys. Rev. B 21, 3222 (1980)

    ADS  Google Scholar 

  9. B.L. Gyorffy, G.M. Stocks, in Electrons in Finite and Infinite Structures, ed. by P. Phariseau, E. Sheire (Plenum, New York, 1976), 144 p

    Google Scholar 

  10. Y. Onodera, M. Okazaki, J. Phys. Soc. Jpn. 21, 1273 (1966)

    ADS  Google Scholar 

  11. P. Strange, H. Ebert, J.B. Staunton, B.L. Gyorffy, J. Phys. Condens. Matter 1, 2959 (1989)

    Google Scholar 

  12. P. Weinberger, Electron Scattering Theory for Ordered and Disordered Matter (Oxford University Press, Oxford, 1990)

    Google Scholar 

  13. P. Strange, Relativistic Quantum Mechanics (Cambridge University Press, Cambridge, 1998)

    Google Scholar 

  14. H. Ebert, in Electronic Structure and Physical Properties of Solids, ed. by H. Dreyssé (Springer, Berlin, 2000), 191 p

    Google Scholar 

  15. R. Zeller, P.H. Dederichs, Phys. Rev. Lett. 42, 1713 (1979)

    ADS  Google Scholar 

  16. I. Turek, V. Drchal, J. Kudrnovský, M. Šob, P. Weinberger, Electronic Structure of Disordered Alloys, Surfaces and Interfaces (Kluwer Academic Publishers, Boston, 1997)

    Google Scholar 

  17. P. Soven, Phys. Rev. 156, 809 (1967)

    ADS  Google Scholar 

  18. P.J. Durham, B.L. Gyorffy, A.J. Pindor, J. Phys. F Met. Phys. 10, 661 (1980)

    ADS  Google Scholar 

  19. H. Ebert, Rep. Prog. Phys. 59, 1665 (1996)

    ADS  Google Scholar 

  20. M.E. Rose, Relativistic Electron Theory (Wiley, New York, 1961)

    MATH  Google Scholar 

  21. H. Ebert, G.Y. Guo, Solid State Commun. 91, 85 (1994)

    ADS  Google Scholar 

  22. W.L. Schaich, Phys. Rev. B 29, 6513 (1984)

    ADS  Google Scholar 

  23. H. Ebert, in Spin-orbit Influenced Spectroscopies of Magnetic Solids, ed. by H. Ebert, G. Schütz (Springer, Berlin, 1996), 159 p

    Google Scholar 

  24. R. Feder, F. Rosicky, B. Ackermann, Z. Physik B 52, 31 (1983)

    ADS  Google Scholar 

  25. P. Strange, J. Staunton, B.L. Gyorffy, J. Phys. C Solid State Phys. 17, 3355 (1984)

    ADS  Google Scholar 

  26. H. Ebert, J. Phys. Condens. Matter 1, 9111 (1989)

    Google Scholar 

  27. F. Reinert, S. Hüfner, (Springer, Berlin, 2007), pp. 13–53

    Google Scholar 

  28. A. Damascelli, Z. Hussain, Z.X. Shen, Rev. Mod. Phys. 75, 473 (2003)

    ADS  Google Scholar 

  29. I. Adawi, Phys. Rev. 134, A788 (1964)

    ADS  Google Scholar 

  30. G.D. Mahan, Phys. Rev. B 2, 4334 (1970)

    ADS  Google Scholar 

  31. W. Schaich, N. Ashcroft, Solid State Commun. 8, 1959 (1970)

    ADS  Google Scholar 

  32. C. Caroli, D. Lederer-Rozenblatt, B. Roulet, D. Saint-James, Phys. Rev. B 8, 4552 (1973)

    ADS  Google Scholar 

  33. P.J. Feibelman, D.E. Eastman, Phys. Rev. B 10, 4932 (1974)

    ADS  Google Scholar 

  34. C.N. Berglund, W.E. Spicer, Phys. Rev. 136, A1030 (1964)

    ADS  Google Scholar 

  35. A. Liebsch, Phys. Rev. Lett. 32, 1203 (1974)

    ADS  Google Scholar 

  36. D.J. Spanjaard, D.W. Jepsen, P.M. Marcus, Phys. Rev. B 15, 1728 (1977)

    ADS  Google Scholar 

  37. J.B. Pendry, Surf. Sci. 57, 679 (1976)

    ADS  Google Scholar 

  38. J.F.L. Hopkinson, J.B. Pendry, D.J. Titterington, Comput. Phys. Commun. 19, 69 (1980)

    ADS  Google Scholar 

  39. J.B. Pendry, Low Energy Electron Diffraction (Academic Press, London, 1974)

    Google Scholar 

  40. P. Hohenberg, W. Kohn, Phys. Rev. 136, B 864 (1964)

    Google Scholar 

  41. W. Kohn, L.J. Sham, Phys. Rev. 140, A 1133 (1965)

    Google Scholar 

  42. L.J. Sham, W. Kohn, Phys. Rev. 145, 561 (1966)

    ADS  Google Scholar 

  43. J. Braun, Rep. Prog. Phys. 59, 1267 (1996)

    ADS  Google Scholar 

  44. B. Ackermann, R. Feder, J. Phys. C Solid State Phys. 18, 1093 (1985)

    ADS  Google Scholar 

  45. J. Braun, G. Thrner, G. Borstel, Phys. Stat. Sol. (b) 130, 643 (1985)

    Google Scholar 

  46. B. Ginatempo, P.J. Durham, B.I. Gyorffy, J. Phys. Condens. Matter 1, 6483 (1989)

    Google Scholar 

  47. S.V. Halilov, E. Tamura, D. Meinert, H. Gollisch, R. Feder, J. Phys. Condens. Matter 5, 3859 (1993)

    Google Scholar 

  48. J. Braun, G. Borstel, Phys. Rev. B 48, 14373 (1993)

    ADS  Google Scholar 

  49. M. Fluchtmann, M. Grass, J. Braun, G. Borstel, Phys. Rev. B 52, 9564 (1995)

    ADS  Google Scholar 

  50. J. Henk, T. Scheunemann, S.V. Halilov, R. Feder, J. Phys. Condens. Matter 8, 47 (1996)

    Google Scholar 

  51. M. Grass, J. Braun, G. Borstel, Prog. Surf. Sci. 46, 107 (1994)

    ADS  Google Scholar 

  52. P.J. Durham, J. Phys. F Met. Phys. 11, 2475 (1981)

    ADS  Google Scholar 

  53. A.X. Gray, C. Papp, S. Ueda, B. Balke, Y. Yamashita, L. Plucinski, J. Minár, J. Braun, E.R. Ylvisaker, C.M. Schneider, W.E. Pickett, H. Ebert, K. Kobayashi, C.S. Fadley, Nat. Mater. 10, 759 (2011)

    ADS  Google Scholar 

  54. C. Papp, L. Plucinski, J. Minár, J. Braun, H. Ebert, C.M. Schneider, C.S. Fadley, Phys. Rev. B 84, 045433 (2011)

    ADS  Google Scholar 

  55. A.X. Gray, J. Minár, S. Ueda, P.R. Stone, Y. Yamashita, J. Fujii, J. Braun, L. Plucinski, C.M. Schneider, G. Panaccione, H. Ebert, O.D. Dubon, K. Kobayashi, C.S. Fadley, Nat. Mater. 11, 957 (2012)

    ADS  Google Scholar 

  56. J. Fujii, B.R. Salles, M. Sperl, S. Ueda, M. Kobata, K. Kobayashi, Y. Yamashita, P. Torelli, M. Utz, C.S. Fadley, A.X. Gray, J. Braun, H. Ebert, I. Di Marco, O. Eriksson, P. Thunström, G.H. Fecher, H. Stryhanyuk, E. Ikenaga, J. Minár, C.H. Back, G. van der Laan, G. Panaccione, Phys. Rev. Lett. 111, 097201 (2013)

    ADS  Google Scholar 

  57. J. Minár, J. Braun, H. Ebert, J. Electron. Spectrosc. Relat. Phenom. 189, 129 (2013)

    Google Scholar 

  58. J. Minár, J. Braun, H. Ebert, J. Electron. Spectrosc. Relat. Phenom. 190 (Part B), 159 (2013)

    Google Scholar 

  59. A.X. Gray, J. Minár, L. Plucinski, M. Huijben, A. Bostwick, E. Rotenberg, S. Yang, J. Braun, A. Winkelmann, G. Conti, D. Eiteneer, A. Rattanachata, A.A. Greer, J. Ciston, C. Ophus, G. Rijnders, D.H.A. Blank, D. Doennig, R. Pentcheva, J.B. Kortright, C.M. Schneider, H. Ebert, C.S. Fadley, Europhys. Lett. 104, 17004 (2013)

    ADS  Google Scholar 

  60. J. Braun, K. Miyamoto, A. Kimura, T. Okuda, M. Donath, H. Ebert, J. Minár, New J. Phys. 16, 015005 (2014)

    Google Scholar 

  61. J. Braun, J. Minár, S. Mankovsky, V.N. Strocov, N.B. Brookes, L. Plucinski, C.M. Schneider, C.S. Fadley, H. Ebert, Phys. Rev. B 88, 205409 (2013)

    ADS  Google Scholar 

  62. J. Braun, J. Minár, F. Matthes, C.M. Schneider, H. Ebert, Phys. Rev. B 82, 024411 (2010)

    ADS  Google Scholar 

  63. J. Minár, L. Chioncel, A. Perlov, H. Ebert, M.I. Katsnelson, A.I. Lichtenstein, Phys. Rev. B 72, 045125 (2005)

    ADS  Google Scholar 

  64. J. Braun, J. Minár, H. Ebert, M.I. Katsnelson, A.I. Lichtenstein, Phys. Rev. Lett. 97, 227601 (2006)

    ADS  Google Scholar 

  65. M. Pickel, A.B. Schmidt, F. Giesen, J. Braun, J. Minár, H. Ebert, M. Donath, M. Weinelt, Phys. Rev. Lett. 101, 066402 (2008)

    ADS  Google Scholar 

  66. J. Sánchez-Barriga, J. Fink, V. Boni, I. Di Marco, J. Braun, J. Minár, A. Varykhalov, O. Rader, V. Bellini, F. Manghi, H. Ebert, M.I. Katsnelson, A.I. Lichtenstein, O. Eriksson, W. Eberhardt, H.A. Dürr, Phys. Rev. Lett. 103, 267203 (2009)

    ADS  Google Scholar 

  67. J. Braun, J. Minár, H. Ebert, A. Chainani, J. Miyawaki, Y. Takata, M. Taguchi, M. Oura, S. Shin, Phys. Rev. B 85, 165105 (2012)

    ADS  Google Scholar 

  68. J. Sánchez-Barriga, J. Braun, J. Minár, I. Di Marco, A. Varykhalov, O. Rader, V. Boni, V. Bellini, F. Manghi, H. Ebert, M.I. Katsnelson, A.I. Lichtenstein, O. Eriksson, W. Eberhardt, H.A. Dürr, J. Fink, Phys. Rev. B 85, 205109 (2012)

    ADS  Google Scholar 

  69. K. Kambe, Z. Naturf, 22a, 322 (1967)

    Google Scholar 

  70. J.M. MacLaren, S. Crampin, D.D. Vvedensky, J.B. Pendry, Phys. Rev. B 40, 12164 (1989)

    ADS  Google Scholar 

  71. G. Borstel, Appl. Phys. A 38, 193 (1985)

    ADS  Google Scholar 

  72. J.S. Faulkner, Prog. Mater. Sci. 27, 1 (1982)

    Google Scholar 

  73. R.O. Jones, O. Gunnarsson, Rev. Mod. Phys. 61, 689 (1989)

    ADS  Google Scholar 

  74. S.Y. Savrasov, G. Kotliar, Phys. Rev. B 69, 245101 (2004)

    ADS  Google Scholar 

  75. A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)

    ADS  Google Scholar 

  76. G. Kotliar, S.Y. Savrasov, K. Haule, V.S. Oudovenko, O. Parcollet, C.A. Marianetti, Rev. Mod. Phys. 78, 865 (2006)

    ADS  Google Scholar 

  77. K. Held, Adv. Phys. 56, 829 (2007)

    ADS  Google Scholar 

  78. J. Minár, J. Phys. Condens. Matter 23, 253201 (2011)

    Google Scholar 

  79. A.H. MacDonald, S.H. Vosko, J. Phys. C Solid State Phys. 12, 2977 (1979)

    ADS  Google Scholar 

  80. R.M. Dreizler, E.K.U. Gross, Density Functional Theory (Springer, Heidelberg, 1990)

    MATH  Google Scholar 

  81. H. Ebert, S. Bornemann, J. Braun, D. Ködderitzsch, S. Lowitzer, S. Mankovskyy, J. Minár, M. Offenberger, S. Polesya, V. Popescu, Recent Developments in KKR Theory, Newsletter of the \(\varPsi _{k}\) Network (Scientific highlight of the month) 97, 79 (2010)

    Google Scholar 

  82. A. Gonis, W.H. Butler, Multiple Scattering in Solids (Springer, Berlin, 1999)

    MATH  Google Scholar 

  83. E.N. Economou, Green Functions in Quantum Physics (Springer, Berlin, 1990)

    Google Scholar 

  84. R. Zeller, J. Deutz, P.H. Dederichs, Solid State Commun. 44, 993 (1982)

    ADS  Google Scholar 

  85. E. Tamura, Phys. Rev. B 45, 3271 (1992)

    ADS  Google Scholar 

  86. L.V. Pourovskii, M.I. Katsnelson, A.I. Lichtenstein, Phys. Rev. B 72, 115106 (2005)

    ADS  Google Scholar 

  87. S. Chadov, Application of Many-body Perturbation Theory to the Description of Correlated Metals (Universität München, Doktorarbeit, 2007)

    Google Scholar 

  88. S. Chadov, J. Minár, M.I. Katsnelson, H. Ebert, D. Ködderitzsch, A.I. Lichtenstein, Europhys. Lett. 82, 37001 (2008)

    ADS  Google Scholar 

  89. J. Sánchez-Barriga, J. Minár, J. Braun, A. Varykhalov, V. Boni, I. Di Marco, O. Rader, V. Bellini, F. Manghi, H. Ebert, M.I. Katsnelson, A.I. Lichtenstein, O. Eriksson, W. Eberhardt, H.A. Dürr, J. Fink, Phys. Rev. B 82, 104414 (2010)

    ADS  Google Scholar 

  90. S. Biermann, F. Aryasetiawan, A. Georges, Phys. Rev. Lett. 90, 086402 (2003)

    ADS  Google Scholar 

  91. O. Šipr, J. Minár, S. Mankovsky, H. Ebert, Phys. Rev. B 78, 144403 (2008)

    ADS  Google Scholar 

  92. V. Drchal, V. Janiš, J. Kudrnovský, Phys. Rev. B 60, 15664 (1999)

    ADS  Google Scholar 

  93. O. Šipr, H. Ebert, Phys. Rev. B 72, 134406 (2005)

    ADS  Google Scholar 

  94. O. Šipr, M. Košuth, H. Ebert, J. Magn. Magn. Mater. 272–276, 713 (2004)

    ADS  Google Scholar 

  95. S. Bouarab, A. Vega, J.A. Alonso, M.P. Iñiguez, Phys. Rev. B 54, 3003 (1996)

    ADS  Google Scholar 

  96. O. Šipr, H. Ebert, Czech. J. Phys. 53, 55 (2003)

    ADS  Google Scholar 

  97. R. Wienke, G. Schütz, H. Ebert, J. Appl. Phys. 69, 6147 (1991)

    ADS  Google Scholar 

  98. G. Schütz, M. Knülle, H. Ebert, Physica Scripta T49, 302 (1993)

    ADS  Google Scholar 

  99. P. Carra, B.T. Thole, M. Altarelli, X. Wang, Phys. Rev. Lett. 70, 694 (1993)

    ADS  Google Scholar 

  100. K. Hirsch, V. Zamudio-Bayer, J. Rittmann, A. Langenberg, M. Vogel, T. Möller, B.v Issendorff, J.T. Lau, Phys. Rev. B 86, 165402 (2012)

    Google Scholar 

  101. M. Niemeyer, K. Hirsch, V. Zamudio-Bayer, A. Langenberg, M. Vogel, M. Kossick, C. Ebrecht, K. Egashira, A. Terasaki, T. Möller, B.v Issendorff, J.T. Lau, Phys. Rev. Lett. 108, 057201 (2012)

    Google Scholar 

  102. G.A. Mulhollan, R.L. Fink, J.L. Erskine, Phys. Rev. B 44, 2393 (1991)

    Google Scholar 

  103. C. Liu, S.D. Bader, Phys. Rev. B 44, 12062 (1991)

    Google Scholar 

  104. A.J. Cox, J.G. Louderback, S.E. Apsel, L.A. Bloomfield, Phys. Rev. B 49, 12295 (1994)

    ADS  Google Scholar 

  105. J. Honolka, K. Kuhnke, L. Vitali, A. Enders, K. Kern, S. Gardonio, C. Carbone, S.R. Krishnakumar, P. Bencok, S. Stepanow, P. Gambardella, Phys. Rev. B 76, 144412 (2007)

    ADS  Google Scholar 

  106. V. Sessi, K. Kuhnke, J. Zhang, J. Honolka, K. Kern, C. Tieg, O. Šipr, J. Minár, H. Ebert, Phys. Rev. B 82, 184413 (2010)

    ADS  Google Scholar 

  107. Y. Jinlong, F. Toigo, W. Kelin, Phys. Rev. B 50, 7915 (1994)

    ADS  Google Scholar 

  108. K. Lee, Z. Phys. D 40, 164 (1997)

    Google Scholar 

  109. V. Kumar, Y. Kawazoe, Eur. Phys. J. D 24, 81 (2003)

    ADS  Google Scholar 

  110. T. Futschek, M. Marsman, J. Hafner, J. Phys. Condens. Matter 17, 5927 (2005)

    Google Scholar 

  111. O. Šipr, H. Ebert, J. Minár, J. Phys. Condens. Matter 27, 056004 (2015)

    Google Scholar 

  112. M. Benfatto, C.R. Natoli, A. Filipponi, Phys. Rev. B 40, 9626 (1989)

    ADS  Google Scholar 

  113. K. Hayakawa, T. Fujikawa, K. Nakagawa, I. Shimoyama, R. Tittsworth, P. Schilling, V. Saile, Chem. Phys. 289, 281 (2003)

    Google Scholar 

  114. O. Šipr, J. Vackář, A. Kuzmin, J. Synchr. Rad. 23, 1433 (2016)

    Google Scholar 

  115. G. Calas, L. Cormier, L. Galoisy, P. Jollivet, Comptes Rendus Chimie 5, 831 (2002)

    Google Scholar 

  116. F. Rocca, G. Dalba, P. Fornasini, F. Monti, in Borate Glasses, Crystals and Melts, ed. by A.C. Wright, S.A. Feller, A.C. Hannon (The Society of Glass Technology, Sheffield, 1997), 295 p

    Google Scholar 

  117. G. Dalba, P. Fornasini, F. Rocca, F. Monti, J. Non-Cryst, Solids 293, 93 (2001)

    Google Scholar 

  118. J. Swenson, L. Börjesson, W. Howells, J. Phys. Condens. Matter 11, 9275 (1999)

    Google Scholar 

  119. O. Šipr, F. Rocca, G. Dalba, J. Synchr. Rad. 6, 770 (1999)

    Google Scholar 

  120. O. Šipr, G. Dalba, F. Rocca, Phys. Rev. B 69, 134201 (2004)

    ADS  Google Scholar 

  121. A. Kuzmin, G. Dalba, P. Fornasini, F. Rocca, O. Šipr, Phys. Rev. B 73, 174110 (2006)

    ADS  Google Scholar 

  122. A. Kuzmin, Phys. B Condens. Matter 208, 175 (1995)

    ADS  Google Scholar 

  123. P.J. Bray, in Borate Glasses, Crystals and Melts, ed. by A.C. Wright, S.A. Feller, A.C. Hannon (The Society of Glass Technology, Sheffield, 1992), 1 p

    Google Scholar 

  124. O. Šipr, F. Rocca, J. Synchr. Rad. 17, 367 (2010)

    Google Scholar 

  125. O. Šipr, P. Machek, A. Šimůnek, J. Vackář. J. Horák Phys. Rev. B 56, 13151 (1997)

    Google Scholar 

  126. L.A.J. Garvie, A.J. Craven, R. Brydson, Am. Mineral. 80, 1132 (1995)

    ADS  Google Scholar 

  127. M. Kasrai, M.E. Fleet, S. Muthupari, D. Li, G.M. Bancroft, Phys. Chem. Miner. 25, 268 (1998)

    ADS  Google Scholar 

  128. O. Šipr, A. Šimůnek, J. Vackář, G. Dalba, F. Rocca, Phys. Chem. Glasses Eur. J. Glass Sci. Technol. B 47, 412 (2006)

    Google Scholar 

  129. F. Wilhelm, M. Angelakeris, N. Jaouen, P. Poulopoulos, E.T. Papaioannou, C. Mueller, P. Fumagalli, A. Rogalev, N.K. Flevaris, Phys. Rev. B 69, 220404(R) (2004)

    ADS  Google Scholar 

  130. O. Šipr, J. Minár, J. Vackář, H. Ebert, Phys. Rev. B 75, 134422 (2007)

    ADS  Google Scholar 

  131. F.J.A. den Broeder, D. Kuiper, A.P. van de Mosselaer, W. Hoving, Phys. Rev. Lett. 60, 2769 (1988)

    ADS  Google Scholar 

  132. K. Spörl, D. Weller, J. Magn. Magn. Mater. 101, 217 (1991)

    ADS  Google Scholar 

  133. G. Gubbiotti, G. Carlotti, F. Albertini, F. Casoli, E. Bontempi, L.E. Depero, H. Koo, R.D. Gomez, Thin Solid Films 428, 102 (2003)

    ADS  Google Scholar 

  134. A. Zunger, S. Lany, H. Raebiger, Physics 3, 53 (2010)

    Google Scholar 

  135. M. Snure, D. Kumar, A. Tiwari, Appl. Phys. Lett. 94, 012510 (2009)

    ADS  Google Scholar 

  136. A. Ney, V. Ney, S. Ye, K. Ollefs, T. Kammermeier, T.C. Kaspar, S.A. Chambers, F. Wilhelm, A. Rogalev, Phys. Rev. B 82, 041202 (2010)

    ADS  Google Scholar 

  137. G. Ciatto, A. Di Trolio, E. Fonda, P. Alippi, A.M. Testa, A.A. Bonapasta, Phys. Rev. Lett. 107, 127206 (2011)

    ADS  Google Scholar 

  138. Q. Ma, J.T. Prater, C. Sudakar, R.A. Rosenberg, J. Narayan, J. Phys. Condens. Matter 24, 306002 (2012)

    Google Scholar 

  139. M. Sawicki, E. Guziewicz, M.I. łukasiewicz, O. Proselkov, I.A. Kowalik, W. Lisowski, P. Dluzewski, A. Wittlin, M. Jaworski, A. Wolska, W. Paszkowicz, R. Jakiela, B.S. Witkowski, L. Wachnicki, M.T. Klepka, F.J. Luque, D. Arvanitis, J.W. Sobczak, M. Krawczyk, A. Jablonski, W. Stefanowicz, D. Sztenkiel, M. Godlewski, T. Dietl, Phys. Rev. B 88, 085204 (2013)

    Google Scholar 

  140. A. Ney, V. Ney, M. Kieschnick, F. Wilhelm, K. Ollefs, A. Rogalev, Appl. Phys. Lett. 115, 172603 (2014)

    Google Scholar 

  141. P. Vachhani, O. Šipr, A. Bhatnagar, R. Ramamoorthy, R. Choudhary, D. Phase, G. Dalba, A. Kuzmin, F. Rocca, J. Alloys Comput. 678, 304 (2016)

    Google Scholar 

  142. A. Ney, K. Ollefs, S. Ye, T. Kammermeier, V. Ney, T. Kasper, S.A. Chambers, F. Wilhelm, A. Rogalev, Phys. Rev. Lett. 100, 157201 (2008)

    ADS  Google Scholar 

  143. P.S. Vachhani, G. Dalba, R.K. Ramamoorthy, F. Rocca, O. ipr, A.K. Bhatnagar, J. Phys. Condens. Matter 24, 506001 (2012)

    Google Scholar 

  144. O. Šipr, J. Vackář, P.S. Vachhani, R.K. Ramamoorthy, G. Dalba, A.K. Bhatnagar, F. Rocca, J. Phys. Conf. Ser. 430, 012128 (2013)

    Google Scholar 

  145. F. Manghi, V. Bellini, J. Osterwalder, T.J. Kreutz, P. Aebi, C. Arcangeli, Phys. Rev. B 59, R10409 (1999)

    ADS  Google Scholar 

  146. S. Hüfner, G.K. Wertheim, Phys. Lett. A 51A, 299 (1975)

    ADS  Google Scholar 

  147. C. Guillot, Y. Ballu, J. Paigné, J. Lecante, K.P. Jain, P. Thiry, R. Pinchaux, Y. Pétroff, L.M. Falicov, Phys. Rev. Lett. 39, 1632 (1977)

    ADS  Google Scholar 

  148. A. Kakizaki, K. Ono, K. Tanaka, K. Shimada, T. Sendohda, Phys. Rev. B 55, 6678 (1997)

    ADS  Google Scholar 

  149. K.N. Altmann, D.Y. Petrovykh, G.J. Mankey, N. Shannon, N. Gilman, M. Hochstrasser, R.F. Willis, F.J. Himpsel, Phys. Rev. B 61, 15661 (2000)

    ADS  Google Scholar 

  150. J. Osterwalder, J. Elec. Spec. Rel. Phenom. 117–118, 71 (2001)

    Google Scholar 

  151. N. Kamakura, Y. Takata, T. Tokushima, Y. Harada, A. Chainani, K. Kobayashi, S. Shin, Phys. Rev. B 74, 045127 (2006)

    ADS  Google Scholar 

  152. O. Karis, S. Svensson, J. Rusz, J. Oppeneer, M. Gorgoi, F. Schäfers, W. Braun, W. Eberhardt, M. Mårtensson, Phys. Rev. B 78, 233105 (2008)

    ADS  Google Scholar 

  153. A. Liebsch, Phys. Rev. Lett. 43, 1431 (1979)

    ADS  Google Scholar 

  154. A. Liebsch, Phys. Rev. B 23, 5203 (1981)

    ADS  Google Scholar 

  155. O. Miura, T. Fujiwara, Phys. Rev. B 77, 195124 (2008)

    ADS  Google Scholar 

  156. D.E. Eastman, F.J. Himpsel, J.A. Knapp, Phys. Rev. Lett. 40, 1514 (1978)

    ADS  Google Scholar 

  157. F.J. Himpsel, J.A. Knapp, D.E. Eastman, Phys. Rev. B 19, 2919 (1979)

    ADS  Google Scholar 

  158. W. Eberhardt, E.W. Plummer, Phys. Rev. B 21, 3245 (1980)

    ADS  Google Scholar 

  159. C.S. Wand, J. Callaway, Phys. Rev. B 15, 298 (1977)

    ADS  Google Scholar 

  160. J. Kanski, P.O. Nilsson, C.G. Larsson, Solid State Commun. 35, 397 (1980)

    ADS  Google Scholar 

  161. Y. Sakisaka, T. Kommeda, M. Onchi, H. Kato, S. Masuda, K. Yagi, Phys. Rev. B 36, 6383 (1987)

    ADS  Google Scholar 

  162. T. Kinoshita, T. Ikoma, A. Kakizaki, T. Ishii, J. Fujii, H. Fukutani, K. Shimada, A. Fujimori, T. Okane, S. Sato, Phys. Rev. B 47, 6787 (1993)

    ADS  Google Scholar 

  163. N. Nakajima, S. Hatta, J. Odagiri, H. Kato, Y. Sakisaka, Phys. Rev. B 70, 233103 (2004)

    ADS  Google Scholar 

  164. A.I. Lichtenstein, M.I. Katsnelson, G. Kotliar, Phys. Rev. Lett. 87, 067205 (2001)

    ADS  Google Scholar 

  165. W. Eberhardt, E.W. Plummer, K. Horn, J. Erskine, Phys. Rev. Lett. 45, 273 (1980)

    ADS  Google Scholar 

  166. C. Calandra, F. Manghi, Phys. Rev. B 50, 2061 (1994)

    ADS  Google Scholar 

  167. M.M. Steiner, R.C. Albers, L.J. Sham, Phys. Rev. B 45, 13272 (1992)

    ADS  Google Scholar 

  168. M. Cococcioni, S. de Gironcoli, Phys. Rev. B 71, 035105 (2005)

    ADS  Google Scholar 

  169. T. Allmers, M. Donath, J. Braun, J. Minár, H. Ebert, Phys. Rev. B 84, 245426 (2011)

    ADS  Google Scholar 

  170. G. Derondeau, J. Braun, H. Ebert, J. Minár, Phys. Rev. B 93, 144513 (2016)

    ADS  Google Scholar 

  171. P.M. Echenique, J.B. Pendry, J. Phys. C Solid State Phys. 11, 2065 (1978)

    ADS  Google Scholar 

  172. E.G. McRae, Rev. Mod. Phys. 51, 541 (1979)

    ADS  Google Scholar 

  173. J. Braun, M. Donath, Europhys. Lett. 59, 592 (2002)

    ADS  Google Scholar 

  174. M. Yi, D. Lu, J.H. Chu, J.G. Analytis, A.P. Sorini, A.F. Kemper, B. Moritz, S.K. Mo, R.G. Moore, M. Hashimoto, W.S. Lee, Z. Hussain, T.P. Devereaux, I.R. Fisher, Z.X. Shen, Proc. Nat. Ac. Sci. US. 108, 6878 (2011)

    ADS  Google Scholar 

  175. J.E. Hoffman, Rep. Prog. Phys. 74, 124513 (2011)

    ADS  Google Scholar 

  176. G. Profeta, C. Franchini, K.A.I.L.W. Gamalath, A. Continenza, Phys. Rev. B 82, 195407 (2010)

    Google Scholar 

  177. F. Massee, S. de Jong, Y. Huang, J. Kaas, E. van Heumen, J.B. Goedkoop, M.S. Golden, Phys. Rev. B 80, 140507 (2009)

    ADS  Google Scholar 

  178. V.B. Nascimento, A. Li, D.R. Jayasundara, Y. Xuan, J. O’Neal, S. Pan, T.Y. Chien, B. Hu, X.B. He, G. Li, A.S. Sefat, M.A. McGuire, B.C. Sales, D. Mandrus, M.H. Pan, J. Zhang, R. Jin, E.W. Plummer, Phys. Rev. Lett. 103, 076104 (2009)

    ADS  Google Scholar 

Download references

Acknowledgements

We thank the DFG for financial support via Ebe154/32-1, BMBF (05K16WMA) and to the COST action MP1306 EUSpec for travel grants. JM was supported by the CEDAMNF project (CZ.02.1.01/0.0/0.0/15_003/0000358), co-funded by the ERDF as part of the OP RDE program of the Ministry of Education, Youth and Sports (Czech Republic). OS would like to acknowledge support by the GACR (project 17-14840S).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ján Minár .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Minár, J., Šipr, O., Braun, J., Ebert, H. (2018). KKR Green’s Function Method in Reciprocal and Real Space. In: Sébilleau, D., Hatada, K., Ebert, H. (eds) Multiple Scattering Theory for Spectroscopies. Springer Proceedings in Physics, vol 204. Springer, Cham. https://doi.org/10.1007/978-3-319-73811-6_4

Download citation

Publish with us

Policies and ethics