Density modulation and electrostatic self-consistency in a two-dimensional electron gas subject to a periodic quantizing magnetic field

Details Density modulation and electrostatic self-consistency in a two-dimensional electron gas subject to a periodic quantizing magnetic field Density modulation and electrostatic self-consistency in a two-dimensional electron gas subject to a periodic quantizing magnetic field

1997-10-06

arxiv.org/abs/cond-mat/9710052v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 6 figures, Revtex, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.57.1680

We calculate the single-particle states of a two-dimensional electron gas (2DEG) in a perpendicular quantizing magnetic field, which is periodic in one direction of the electron layer. We discuss the modulation of the electron density in this system and compare it with that of a 2DEG in a periodic electrostatic potential. We take account of the induced potential within the Hartree approximation, and calculate self-consistently the density fluctuations and effective energy bands. The electrostatic effects on the spectrum depend strongly on the temperature and on the ratio between the cyclotron radius $R_c$ and the length scale $a_{\delta\rho}$ of the density variations. We find that $a_{\delta\rho}$ can be equal to the modulation period $a$, but also much smaller. For $R_c \sim a_{\delta\rho}$ the spectrum in the vicinity of the chemical potential remains essentially the same as in the noninteracting system, while for $R_c \ll a_{\delta\rho}$ it may be drastically changed by the Hartree potential: For noninteger filling factors the energy dispersion is reduced, like in the case of an electrostatic modulation, whereas for even-integer filling factors, on the contrary, the dispersion may be amplified.

Affiliated with

Also associated with

No associations

Rating

Density modulation and electrostatic self-consistency in a two-dimensional electron gas subject to a periodic quantizing magnetic field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Density modulation and electrostatic self-consistency in a two-dimensional electron gas subject to a periodic quantizing magnetic field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Density modulation and electrostatic self-consistency in a two-dimensional electron gas subject to a periodic quantizing magnetic field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-68732