Analytic theory of electric field depinning in the one-dimensional Fukuyama-Lee-Rice hamiltonian

Using Feigel'man's method in the theory of one-dimensional random systems we have evaluated analytically the depinning electric fieldE_T and the static dielectric constant ₀ for the Fukuyama-Lee-Rice hamiltonian in the weak pinning limit and for low temperatures. This is accomplished by solving a Fokker-Planck equation for finitedc electric fields in order to determine the field dependent pinning energy. The dielectric constant is found to remain independent of the electric field up to the threshold. The product ₀E_T is also evaluated and compared with other theories.