L. Wendler et Vg. Grigoryan, COLLECTIVE AND SINGLE-PARTICLE EXCITATIONS OF THE QUASI-ONE-DIMENSIONAL ELECTRON-GAS IN THE PRESENCE OF A MAGNETIC-FIELD, Physical review. B, Condensed matter, 54(12), 1996, pp. 8652-8675
We investigate the collective and single-particle excitations of an el
ectron gas, quantum confined in a quasi-one-dimensional quantum-well w
ire, in the presence of a magnetic field. The calculations are done in
the random-phase approximation with no further simplifying approximat
ions. We derive analytical results for the dispersion relations of the
intra- and intersubband magnetoplasmons. For large-magnetic fields th
e dispersion curves of the intersubband magnetoplasmons approach the f
requencies of the principal and Bernstein modes of a two-dimensional e
lectron gas, whereas the dispersion curve of the intrasubband magnetop
lasmon tends to zero in this limit. It is shown that additional inters
ubband magnetoplasmons exist in comparison to a quasi-one-dimensional
electron gas without a magnetic field and to a two-dimensional electro
n gas in the presence of a magnetic field. These magnetoplasmons have
the character of confined modes with a vanishing depolarization shift
for zero- and infinite-magnetic fields. With these modes it is possibl
e to explain the resonance-splitting and fine-structure effects in the
recently observed far-infrared transmission spectra. We interpret the
complete spectrum of the quasi-one-dimensional magnetoplasmons by the
hybridization of confined principal and Bernstein modes. This spectru
m is universal, i.e., independent from the concrete shape of the later
al confining potential.