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Calculation of the electrical conductivity above and below the Verwey transition in magnetite
Author(s) -
Lorenz B.,
Ihle D.
Publication year - 1975
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220690216
Subject(s) - magnetite , charge ordering , conductivity , electrical resistivity and conductivity , condensed matter physics , activation energy , coulomb , materials science , charge (physics) , chemistry , thermodynamics , physics , electron , metallurgy , quantum mechanics
Using the Cullen‐Callen model of magnetite in the region U 1 » | h | ( U 1 nearest‐neighbour Coulomb energy, h overlap integral) the electrical conductivity is calculated above and below the Verwey transition temperature T v . From T v = 119 up to 250 K an increase of the dc conductivity by a factor of five is obtained. At 383 K a conductivity maximum is found. The dc conductivities normal and parallel to the c ‐axis are found to change abruptly at T v by a factor of 110 and 70, respectively. From T v down to 75 K a decrease in dc conductivity is obtained corresponding to an activation energy of 0.11 eV. The theoretical results agree very well with experiments.

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