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We discuss the conditions under which an anomaly occurs in conductance and
localization length of Anderson model on a lattice. Using the ladder Hamiltonian and analytical
calculation of average conductance we find the set of resonance conditions which
complements the -coupling rule for anomalies. We identify those anomalies that might
vanish due to the symmetry of the lattice or the distribution of the disorder. In terms of
the dispersion relation it is known from strictly one-dimensional model that the lowest order
(i.e., the most strong) anomalies satisfy the equation $E(k) = E(3k)$. We show that the
anomalies of the generalized model studied here are also the solutions of the same equation
with modified dispersion relation.
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