Fermi Edge Singularities and Backscattering in a Weakly Interacting 1D Electron Gas

Дата и время публикации : 1993-11-09T01:40:28Z

Авторы публикации и институты :
C. L. Kane
K. A. Matveev
L. I. Glazman

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 8 pages + 1 postscript figure, preprint TPI-MINN-93/40-T
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: 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.

Category: Physics