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VOLUME 61 (1995) | ISSUE 8 | PAGE 636
Localization of a defect in a 1D electron gas
The localization of an impurity due to backscattering by the impurity potential of a ID interacting electron gas is analyzed. The argument of the exponential function is calculated for the orthogonality integral corresponding to a displacement of the scattering potential by an arbitrary distance. It is shown that the "orthogonality catastrophe" due to back-scattering can be arbitrarily large. The results derived here depend strongly on the interaction in the system. They are fundamentally different from those in the case of noninteracting electrons and also from the existing results for 2D and 3D systems. © 1995 American Institute of Physics.