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Prog. Theor. Phys. Vol. 42 No. 3 (1969) pp. 494-511

[ Full Text PDF : FREE ACCESS (971K) ]

Theory of Hall Effect. I

— Nearly Free Electron —

Hidetoshi Fukuyama, Hiromichi Ebisawa and Yasushi Wada

Department of Physics, University of Tokyo, Tokyo

(Received March 5, 1969)

Abstract:

A gauge-invariant expression of the Hall conductivity in a weak magnetic field is derived on the basis of the Kubo formula for nearly free electron systems. In order to calculate the correlation functions systematically, diagram techniques have been employed. It is shown that the Hall coefficient is inversely proportional to the square of the density of states at the Fermi energy, which justifies the conjectures of Mott and Ziman in connection with the discussion of liquid metals.


URL : http://ptp.ipap.jp/link?PTP/42/494/
DOI : 10.1143/PTP.42.494

[ Full Text PDF : FREE ACCESS (971K) ] Citation:

References:

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Citing Article(s) :

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  2. Journal of the Physical Society of Japan 68 (1999) pp. 1614-1624 :
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  3. Journal of the Physical Society of Japan 74 (2005) pp. 155-166 :
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  4. Journal of the Physical Society of Japan 76 (2007) 043711 (3 pages) :
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  5. Journal of the Physical Society of Japan 76 (2007) 074707 (16 pages) :
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  6. Journal of the Physical Society of Japan 77 (2008) 064718 (9 pages) :
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  7. Journal of the Physical Society of Japan 78 (2009) 094714 (7 pages) :
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  8. Progress of Theoretical Physics Vol. 42 No. 3 (1969) pp. 512-522 :
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  9. Progress of Theoretical Physics Vol. 42 No. 6 (1969) pp. 1284-1303 :
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  10. Progress of Theoretical Physics Vol. 44 No. 6 (1970) pp. 1450-1471 :
    Linear Response Theory in the Vortex State of Dirty Type-II Superconductors
    Hajime Takayama and Hiromichi Ebisawa
  11. Progress of Theoretical Physics Vol. 46 No. 3 (1971) pp. 757-775 :
    Microscopic Theory of Thermal Conductivity in an Electron-Phonon System
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  12. Progress of Theoretical Physics Vol. 46 No. 4 (1971) pp. 1028-1041 :
    Fluctuation of the Order Parameter and Hall Effect
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  13. Progress of Theoretical Physics Vol. 80 No. 4 (1988) pp. 623-643 :
    A General Expression for Hall Coefficient Based on Fermi Liquid Theory
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  14. Progress of Theoretical Physics Vol. 116 No. 1 (2006) pp. 61-86 :
    Theory of Non-Equilibirum States Driven by Constant Electromagnetic Fields
    Shigeki Onoda, Naoyuki Sugimoto and Naoto Nagaosa

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