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The effect of electron‐electron interaction on the electric field dependent variable range hopping conduction in quasi‐low‐dimensional systems
Author(s) -
Singh M.,
Thompson R. B.
Publication year - 1996
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.2221970111
Subject(s) - electric field , condensed matter physics , electron , variable range hopping , conductivity , electrical resistivity and conductivity , thermal conduction , physics , field (mathematics) , anisotropy , range (aeronautics) , materials science , quantum mechanics , mathematics , composite material , pure mathematics
We have calculated the variable range hopping conductivity of quasi‐one‐, quasi‐two‐, and anisotropic quasi‐two‐dimensional systems in the presence of an electric field. We considered the effect of electron‐electron interaction through the density of states in the variable range hopping mechanism. In the presence of the electron‐electron interaction, the density of states is proportional to the energy of the localized electrons. Using this density of states, the expressions of the conductivity are calculated by using the method developed by the authors. At zero electric field, our results of the temperature dependence of conductivity reduce to that given in the literature. We found that for β » 1, the logarithim of conductivity is proportional to β −1/2 for quasi‐one and quasi‐two‐dimensional systems and to β −2/3 for anosotropic quasi‐two‐dimensional systems. Here β is proportional to the electric field and inversely proportional to the temperature. Recent electric field dependent conductivity experiments on low‐dimensional B 14 T 11 S 10 compounds predict a β −2/3 power law at high electric fields. Hence our theory of anisotropic quasi‐two‐dimensional systems is consistent with these experiments. We have also compared our theory with an entire range of electric field dependent conductivity data of Bi 14 Te 11 S 10 compounds. A good agreement between theory and experiment has also been found on a qualitative basis.