Microwave response of a two-dimensional electron stripe

Electromagnetic response of a finite-width two-dimensional electron stripe is theoretically studied. It is shown that retardation and radiative effects substantially modify the absorption spectrum of the system at microwave frequencies, leading to a nontrivial zigzag behavior of the magnetoplasmon-polariton modes in magnetic fields, similar to that recently observed by Kukushkin et al. [Phys. Rev. Lett. 90, 156801 (2003)].

Figure 1

Absorption spectra of a 2D electron stripe at $\mathrm{\gamma }∕{\omega }_0=0.05$ and at different values of the retardation parameter $\alpha$. 16 curves are shown in (a) with $\alpha$ varying from 0.1 up to 1.6 with the step 0.1. (b) provides a more detailed view on the same spectra around the first and the second modes.

Figure 2

Absorption spectra of a 2D electron stripe as a function of the frequency and the $B$ field, at $\mathrm{\gamma }∕{\omega }_0=0.05$ and at several representative values of the retardation parameter: $\alpha =0.1$, 0.4, 0.8 and 1.4. Each plot shows 21 curves for ${\omega }_c∕{\omega }_0$ varying from 0 to 4 with the step 0.2.

Figure 3

Absorption spectra of a 2D electron stripe as a function of the frequency and the $B$ field, at $\mathrm{\gamma }∕{\omega }_0=0.2$ and $\alpha =0.4$.

Figure 4

The frequency versus magnetic field dependence of magnetoplasmon-polariton modes, as obtained in Ref. 13. The units $\omega ∕{\omega }_p\left(q\right)$, ${\omega }_c∕{\omega }_p\left(q\right)$, and ${\alpha }^{\mathrm{\star }}=\mathrm{\Gamma }∕{\omega }_p\left(q\right)$ are used on this plot;for explanations see the text. At large ${\omega }_c∕{\omega }_p\left(q\right)$ the curves tendto the asymptotes $\omega ∕{\omega }_p\left(q\right)=1∕{\alpha }^{\mathrm{\star }}\left(q\right)$, which correspond to thedispersion of light $\omega =cq∕\sqrt{ϵ}$.