113 research outputs found
On the Theory of Magnetotransport in a Periodically Modulated Two-Dimensional Electron Gas
A semiclassical theory based on the Boltzmann transport equation for a
two-dimensional electron gas modulated along one direction with weak
electrostatic or magnetic modulations is proposed. It is shown that
oscillations of the magnetoresistivity corresponding to the
current driven along the modulation lines observed at moderately low magnetic
fields, can be explained as classical geometric resonances reflecting the
commensurability of the period of spatial modulations and the cyclotron radius
of electrons.Comment: 5 pages, 1 figure, text and 1 figure adde
Anisotropic scattering and quantum magnetoresistivities of a periodically modulated 2D electron gas
We calculate the longitudinal conductivities of a two-dimensional
noninteracting electron gas in a uniform magnetic field and a lateral electric
or magnetic periodic modulation in one spatial direction, in the quantum
regime. We consider the effects of the electron-impurity scattering anisotropy
through the vertex corrections on the Kubo formula, which are calculated with
the Bethe-Salpeter equation, in the self-consistent Born approximation. We find
that due to the scattering anisotropy the band conductivity increases, and the
scattering conductivities decrease and become anisotropic. Our results are in
qualitative agreement with recent experiments.Comment: 19 pages, 8 figures, Revtex, to appear in Phys. Rev.
Guiding center picture of magnetoresistance oscillations in rectangular superlattices
We calculate the magneto-resistivities of a two-dimensional electron gas
subjected to a lateral superlattice (LSL) of rectangular symmetry within the
guiding-center picture, which approximates the classical electron motion as a
rapid cyclotron motion around a slowly drifting guiding center. We explicitly
evaluate the velocity auto-correlation function along the trajectories of the
guiding centers, which are equipotentials of a magnetic-field dependent
effective LSL potential. The existence of closed equipotentials may lead to a
suppression of the commensurability oscillations, if the mean free path and the
LSL modulation potential are large enough. We present numerical and analytical
results for this suppression, which allow, in contrast to previous quantum
arguments, a classical explanation of similar suppression effects observed
experimentally on square-symmetric LSL. Furthermore, for rectangular LSLs of
lower symmetry they lead us to predict a strongly anisotropic resistance
tensor, with high- and low-resistance directions which can be interchanged by
tuning the externally applied magnetic field.Comment: 12 pages, 9 figure
Magnetoresistance of a two-dimensional electron gas with spatially periodic lateral modulations: Exact consequences of Boltzmann's equation
On the basis of Boltzmann's equation, and including anisotropic scattering in
the collision operator, we investigate the effect of one-dimensional
superlattices on two-dimensional electron systems. In addition to superlattices
defined by static electric and magnetic fields, we consider mobility
superlattices describing a spatially modulated density of scattering centers.
We prove that magnetic and electric superlattices in -direction affect only
the resistivity component if the mobility is homogeneous, whereas a
mobility lattice in -direction in the absence of electric and magnetic
modulations affects only . Solving Boltzmann's equation numerically,
we calculate the positive magnetoresistance in weak magnetic fields and the
Weiss oscillations in stronger fields within a unified approach.Comment: submitted to PR
Hall field induced magnetoresistance oscillations of a two-dimensional electron system
We develop a model of the nonlinear response to a DC electrical current of a
two dimensional electron system(2DES) placed on a magnetic field. Based on the
exact solution of the Schroedinger equation in arbitrarily strong electric and
magnetic fields, and separating the relative and guiding center coordinates, a
Kubo-like formula for the current is worked out as a response to the impurity
scattering. Self-consistent expressions determine the longitudinal and Hall
components of the electric field in terms of the DC current. The differential
resistivity displays strong Hall field-induced oscillations, in agreement with
the main features of the phenomenon observed in recent experiments.Comment: 11 pages, 5 figure
Quantum analog of channeled electron trajectories in periodic magnetic and electric fields
We calculate the quantum states corresponding to the drifting and channeled
classical orbits in a two-dimensional electron gas (2DEG) with strong magnetic
and electric modulations along one spatial direction, . The channeled states
carry high, concentrated currents along the axis, and are confined in an
effective potential well. The quantum and the classical states are compared.Comment: 8 pages with 4 included ps figures, contribution to "SemiMag 13"
Nijmegen, August 1998, to appear in Physica
Planar cyclotron motion in unidirectional superlattices defined by strong magnetic and electric fields: Traces of classical orbits in the energy spectrum
We compare the quantum and the classical description of the two-dimensional
motion of electrons subjected to a perpendicular magnetic field and a
one-dimensional lateral superlattice defined by spatially periodic magnetic and
electric fields of large amplitudes. We explain in detail the complicated
energy spectra, consisting of superimposed branches of strong and of weak
dispersion, by the correspondence between the respective eigenstates and the
``channeled'' and ``drifting'' orbits of the classical description.Comment: 11 pages, 11 figures, to appear in Physical Review
Light scattering from a periodically modulated two dimensional electron gas with partially filled Landau levels
We study light scattering from a periodically modulated two dimensional
electron gas in a perpendicular magnetic field. If a subband is partially
filled, the imaginary part of the dielectric function as a function of
frequency contains additional discontinuities to the case of completely filled
subbands. The positions of the discontinuities may be determined from the
partial filling factor and the height of the discontinuity can be directly
related to the modulation potential. The light scattering cross section
contains a new peak which is absent for integer filling.Comment: RevTex, 4 figures. To appear in Phys. Rev. B as a brief repor
Manifestation of the Hofstadter butterfly in far-infrared absorption
The far-infrared absorption of a two-dimensional electron gas with a
square-lattice modulation in a perpendicular constant magnetic field is
calculated self-consistently within the Hartree approximation. For strong
modulation and short period we obtain intra- and intersubband magnetoplasmon
modes reflecting the subbands of the Hofstadter butterfly in two or more Landau
bands. The character of the absorption and the correlation of the peaks to the
number of flux quanta through each unit cell of the periodic potential depends
strongly on the location of the chemical potential with respect to the
subbands, or what is the same, on the density of electrons in the system.Comment: RevTeX file + 4 postscript figures, to be published Phys. Rev. B
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