Abstract
The energy band theory predicts that all partially filled conductors are metallic, but many organic conductors are actually semiconducting due to the Coulomb interaction. In this chapter, Coulomb interaction between electrons is considered in the molecular orbital theory, and successively in the solid states. In particular, the Hubbard model accounts for the origin of the magnetic interactions as well as the Mott insulating state. The discussion is extended to charge-order systems with intermolecular Coulomb repulsion and the Kondo effect, where metallic and localized electrons are coexisting. Electron correlation is important to explain various phenomena that are not understood within the framework of the energy band theory.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R.G. Parr, B.L. Crawford Jr, J. Chem. Phys. 16, 526 (1948)
R.S. Mulliken, J. Chem. Phys. 46, 497, 675 (1949)
P. Flude, Electron Correlations in Molecules and Solids (Springer, Berlin, 1991)
L.D. Landau, E.M. Lifshitz, Quantum Mechanics Non-Relativistic Theory (Chap. 9) (Pergamon, New York, 1962)
N.F. Mott, Metal-Insulator Transitions (Taylor & Francis, London, 1990)
P. Ziesche, O. Gunnarsson, W. John, H. Beck, Phys. Rev. B 55, 10270 (1997)
P.W. Anderson, Solid State Phys. 14, 99 (1963)
P.W. Anderson, Magnetism, 1st edn., ed. by G.T. Rado, H. Suhl, vol. 25 (1963)
J. Kanamori, J. Phys. Chem. Solids 10, 87 (1959)
J.B. Goodenough, Phys. Rev. 100, 564 (1955)
O. Kahn, Molecular Magnetism (Wiley, New York, 1993), p. 187
J. Zaanen, G.A. Sawatzky, Can. J. Phys. 65, 1262 (1987)
J.B. Goodenough, Prog. Solid State Chem. 5, 145 (1971)
D.B. McWhan, A. Menth, J.P. Remeika, W.F. Brickman, T.M. Rice, Phys. Rev. B 7, 1720 (1973)
E.C. Stoner, J. Phys. Radium 12, 372 (1931)
W.F. Brinkman, T.M. Rice, Phys. Rev. B 2, 4302 (1970)
F. Gebhard, The Mott Metal-Insulator Transition (Springer, Berlin, 1997)
J.E. Hirsch, Phys. Rev. B. 31, 4403 (1985)
D.R. Penn, Phys. Rev. 142, 350 (1966)
Y. Nagaoka, Phys. Rev. 147, 392 (1966)
T. Mori, Bull. Chem. Soc. Jpn 73, 2243 (2000)
T. Mori, J. Phys. Soc. Jpn. 72, 1469 (2004)
H. Seo, J. Phys. Soc. Jpn. 69, 805 (2000)
J. Kondo, Solid State Phys. 23, 183 (1970)
A. Bladin, Magnetism, Vth edn., ed. by G.T. Rado, H. Suhl, vol. 58 (1973) p. 66
P.W. Anderson, Phys. Rev. B 124, 41 (1961)
N.F. Mott, Phil. Mag. 19, 835 (1969)
D. Stauffer, A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1992)
E. Abraham, P.W. Anderson, D.C. Liccardello, T.V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer Japan
About this chapter
Cite this chapter
Mori, T. (2016). Electron Correlation. In: Electronic Properties of Organic Conductors. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55264-2_5
Download citation
DOI: https://doi.org/10.1007/978-4-431-55264-2_5
Published:
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-55263-5
Online ISBN: 978-4-431-55264-2
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)