Prog. Theor. Phys. Vol. 77 No. 1 (1987) pp. 84-93

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Some Exactly Soluble Cases on Hopping Conductivity

— Green Function Method —

Tadao Ishii

School of Engineering, Okayama University, Okayama 700

(Received July 17, 1986)

Abstract:

The Green function method is applied to the conductivity formula with the Hermitian transition matrix involved, which has previously been obtained exactly from the master equation. For a dilute-particle system on linear lattice with two asymmetric sites, quasi-linear decorated lattice or zigzag lattices, the conductivity can exactly be solved by this method. Comparative discussion is made of the local and long-range hoppings with the temperature-dependent behavior of the ac conductivity found in some fluorides.

URL : http://ptp.ipap.jp/link?PTP/77/84/
DOI : 10.1143/PTP.77.84

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Citing Article(s) :

Journal of the Physical Society of Japan 67 (1998) pp. 505-512 :
Non-Debye Behavior of Dynamic Conductivity - Relaxon Miniband and Conductivity in Superionic Conductor Superlattice -

Tadao Ishii and Toshinori Abe
Journal of the Physical Society of Japan 69 (2000) pp. 139-148 :
Lattice Liquid Theory of Ion-Hopping Conduction

Tadao Ishii
Progress of Theoretical Physics Vol. 77 No. 6 (1987) pp. 1364-1375 :
Relaxation Mode Theory of Hopping Conduction

Tadao Ishii
Progress of Theoretical Physics Vol. 90 No. 1 (1993) pp. 53-64 :
Relaxation Mode Theory of Hopping Conduction. II

Tadao Ishii