Anomalous skin effect and weakly damped waves in metals with local flat spots on the Fermi surface

We have developed a theory for the anomalous skin effect in a metal whose Fermi surface contains flattened portions (regions of zero curvature). We give the conditions under which the presence of the directed "currents" of electrons corresponding to the flattened portions radically change the usual picture of the anomalous skin effect and, in particular, lead to the existence of a weakly damped electromagnetic wave with either a linear or a quadratic dispersion curve. We calculate the contribution of the electrons from a flattened portion to the surface impedance and the field distribution in the bulk of the metal, which can differ significantly from the previously known results of anomalous skin effect theory.

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