Abstract
A theoretical calculation has been performed for the variable range hopping in a quasi two-dimensional system under an electric field. The expression for conductivity is obtained when the localized states are randomly distributed in energy and space coordinates. In the present method we have included the states both below and above the Fermi level. These states are occupied according to Fermi distribution function. The present approach differs significantly from the percolation method and others in the calculation of mobility and conductivity. The analytical expressions for mobility and conductivity are obtained under the constant density of states. Our expressions reduce to the famous expression of Mott in certain approximations. The present theoretical calculations have been applied to explain the recent experimental results of a PrBa 2Cu 3O 7− y (PBCO) thin films. A good agreement between the theoretical calculation and the experiment is obtained.
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