Ie. Aronov et al., COLLECTIVE ELECTROMAGNETIC EXCITATIONS IN A DOUBLE-LAYER 2-DIMENSIONAL ELECTRON-SYSTEM IN A HIGH MAGNETIC-FIELD, Physical review. B, Condensed matter, 56(16), 1997, pp. 10392-10403
A new type of collective electromagnetic excitations, namely the surfa
ce polaritons (SP's), in a double-layer two-dimensional electron syste
m (DL2DES) (of nn-type, pp-type, and np-type) in a high magnetic field
is predicted. Using a Wigner distribution function formalism, we inve
stigate the spectrum, damping, and polarization of the SP's in a wide
range of the frequencies omega and the wave vectors k. It is shown tha
t near the cyclotron resonance (CR) (omega similar to Omega=eB/mc) the
phase velocity of the SP's is drastically slowed down, and the group
velocity undergoes the fundamental steps defined by the fine-structure
constant alpha=e(2)/(h) over bar c (as well as for the one-layer 2DES
). For the nn-type DL2DES, each dispersion curve splits, and strongly
correlated collective electromagnetic excitations propagate in the sys
tem. The group velocity of these excitations is defined by the interla
yer distance d, and is much smaller than that for the one-layer 2DES.
In the vicinity of a CR subharmonic (omega similar to 2 Omega) the neg
ative (anomalous) dispersion of the SP occurs. For the np-type DL2DES
the branches of the dispersion curves are intercrossed in the long-wav
e region, near the subharmonic (hole) CR, and in the short-wave region
, due to the resonance interaction between the principal (electron) CR
mode and the subharmonic (hole) CR made. The relaxation of the electr
ons (or holes) in the DL2DES leads to the occurrence of a dissipative
collective mode of the SP type-the ''additional SP's'' (ASP's). This m
ode exists under certain threshold condition, which is determined by a
fine-structure constant alpha. As a consequence, the dispersion curve
s for these excitations exhibit spectrum endpoints, and mode's conflue
nce. The threshold condition for the ASP's in the DL2DES has a ''geome
trical oscillating'' form due to the coherence effects between the spl
it ASP modes, The potential Importance for various applications in mic
roelectronics is discussed.