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Fermi Edge Singularities and Backscattering in a Weakly Interacting 1D Electron Gas | | C. L. Kane
; K. A. Matveev
; L. I. Glazman
; | | Date: |
9 Nov 1993 | | Subject: | cond-mat | | Abstract: | The photon-absorption edge in a weakly interacting one-dimensional electron gas is studied, treating backscattering of conduction electrons from the core hole exactly. Close to threshold, there is a power-law singularity in the absorption, $I(epsilon) propto epsilon^{-alpha}$, with $alpha = 3/8 + delta_+/pi - delta_+^2/2pi^2$ where $delta_+$ is the forward scattering phase shift of the core hole. In contrast to previous theories, $alpha$ is finite (and universal) in the limit of weak core hole potential. In the case of weak backscattering $U(2k_F)$, the exponent in the power-law dependence of absorption on energy crosses over to a value $alpha = delta_+/pi - delta_+^2/2pi^2$ above an energy scale $epsilon^* sim [U(2k_F)]^{1/gamma}$, where $gamma$ is a dimensionless measure of the electron-electron interactions. | | Source: | arXiv, cond-mat/9311018 | | Services: | Forum | Review | PDF | Favorites | |
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