Landau levels

Landau levels

[′lan‚dau̇ ‚lev·əlz]
(solid-state physics)
Energy levels of conduction electrons which occur in a metal subjected to a magnetic field at very low temperatures and which are quantized because of the quantization of the electron motion perpendicular to the field.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
These studies showed that the continuous spectrum of the density measured at the temperature of liquid nitrogen at low temperatures turns into discrete Landau levels. Mathematical modeling of processes using the experimental values of the continuous spectrum of the density of states makes it possible to calculate the discrete Landau levels.
As seen from these figures, with increasing pressure, the shape of the Landau levels strongly changes.
In presence of a quantizing magnetic field, discrete Landau levels suggest the following replacement:
The momentum cutoff restrict the number of completely occupied Landau levels [n.sub.max] which can be determined as follows:
For magnetic field B [??] 0.02 Ge[V.sup.2] (~[10.sup.17] G, conversion to Gauss is given by 1 Ge[V.sup.2] = 5.13 x [10.sup.19] G), [n.sub.max] is of the order of 50, and the discrete summation over Landau levels becomes almost continuous.
There are new chapters on topics such as Dirac electrons, super symmetry, charge density wave states in higher Landau levels, and unconventional QH effects in graphene.
In fact they are exactly the Landau levels, now in a dimensionless form, where s = [n.sub.[rho]] = 0, 1, 2,....
This is a very nice and transparent result, as it shows that upon switching on the Coulomb interaction, from Z = 0 to Z > 0, we observe instead of infinitely discretely degenerate Landau levels, clusters of levels, each of which has an accumulation point precisely at the Landau level.
Since the Landau levels are split by the Zeeman energy, the energy gap between the filled higher energy spin-split level (even filling factors) and the next low energy spin-split Landau level would be reduced from the pure cyclotron energy.
Several solutions have been proposed, including the effect of a finite thickness of the electron layer [30], and disorder broadening of the Landau levels due to impurities in the bulk [31, 32].
Carvalho, "Landau levels in graphene layers with topological defects," The European Physical Journal B, vol.
On the other hand, the system on the two-sphere or on the pseudosphere is related to some interesting generalizations of the planar Landau level problems [31, 32].