Abstract
Metallic doped polymers (polyaniline and polypyrrole) have an electromagnetic response that, when analyzed within the standard theory of metals, is provided by an extremely small fraction of the total number of available electrons ∼ 0.1% (in contrast to ∼ 100% for common metals) but with anomalous long scattering time ≳ 10−13s ( ∼ 100 times longer than for common metals). We show that a network of metallic grains (polymer's crystalline domains) connected by resonance quantum tunneling through localized states in surrounding disordered medium produces this behavior. The small fraction of electrons is assigned to the low density of resonance states and the long scattering time is related to the narrow width of energy levels in resonance.