Prog. Theor. Phys. Vol. 56 No. 1 (1976) pp. 31-43

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A New Theory of Electronic State in Disordered System

— Generalization of Hubbard's Alloy-Analogy and the Gutzwiller Approximation —

Tohru Ogawa, Taeko Ogawa and Takeo Matsubara

Department of Physics, Kyoto University, Kyoto 606

(Received December 24, 1975)

Abstract:

A new theory is proposed to calculate the density of states in disordered system. This is an approach opposite to Hubbard's alloy-analogy for the electron correlation problem in a narrow energy band. Averaged ground state energy of a disordered system is evaluated as a function of electron density in the Gutzwiller approximation. Then the density of states is derived by differentiating the ground state energy with respect to electron density. New theory is tested for a simplified band model and the results of numerical calculation are compared with those of the previous conventional theory.

URL : http://ptp.ipap.jp/link?PTP/56/31/
DOI : 10.1143/PTP.56.31

References:

J. Hubbard, Proc. Roy. Soc. A 276 (1963), 236; ibid. 277 (1964), 237; ibid. 281 (1964), 401.
B. Velicky, S. Kirkpatrick and H. Ehrenreich, Phys. Rev. 175 (1968), 747[APS].
M. C. Gutzwiller, Phys. Rev. Lett. 10 (1963), 159[APS]; Phys. Rev. 134 (1964), A293[APS]; ibid. 137 (1965), A1726[APS].
T. Ogawa, K. Kanda and T. Matsubara, Prog. Theor. Phys. 53 (1975), 614[PTP].
T. M. Rice and W. F. Brinkman, Phys. Rev. B 5 (1972), 4350[APS].
W. F. Brinkman and T. M. Rice, Phys. Rev. B 2 (1970), 4302[APS].

Citing Article(s) :

Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1474-1489 :
A Lattice Model of Liquid Metal. I

Shigetoshi Nara, Tohru Ogawa and Takeo Matsubara
Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1112-1120 :
On the Singularities at the Metal-Insulator Transitions. I

Tohru Ogawa
Progress of Theoretical Physics Supplement No.72 (1982) pp. 140-149 :
A Lattice Metal of Liquid Metal

Tohru Ogawa, Shigetoshi Nara and Takeo Matsubara