4 research outputs found
A systematic study of non-ideal contacts in integer quantum Hall systems
In the present article we investigate the influence of the contact region on
the distribution of the chemical potential in integer quantum Hall samples, as
well as the longitudinal and Hall resistance as a function of the magnetic
field. First we use a standard quantum Hall sample geometry and analyse the
influence of the length of the leads where current enters/leaves the sample and
the ratio of the contact width to the width of these leads. Furthermore we
investigate potential barriers in the current injecting leads and the
measurement arms in order to simulate non-ideal contacts. Second we simulate
nonlocal quantum Hall samples with applied gating voltage at the metallic
contacts. For such samples it has been found experimentally that both the
longitudinal and Hall resistance as a function of the magnetic field can change
significantly. Using the nonequilibrium network model we are able to reproduce
most qualitative features of the experiments.Comment: 29 pages, 16 Figure
Strong-field dipole resonance. I. Limiting analytical cases
We investigate population dynamics in N-level systems driven beyond the
linear regime by a strong external field, which couples to the system through
an operator with nonzero diagonal elements. As concrete example we consider the
case of dipolar molecular systems. We identify limiting cases of the
Hamiltonian leading to wavefunctions that can be written in terms of ordinary
exponentials, and focus on the limits of slowly and rapidly varying fields of
arbitrary strength. For rapidly varying fields we prove for arbitrary that
the population dynamics is independent of the sign of the projection of the
field onto the dipole coupling. In the opposite limit of slowly varying fields
the population of the target level is optimized by a dipole resonance
condition. As a result population transfer is maximized for one sign of the
field and suppressed for the other one, so that a switch based on flopping the
field polarization can be devised. For significant sign dependence the
resonance linewidth with respect to the field strength is small. In the
intermediate regime of moderate field variation, the integral of lowest order
in the coupling can be rewritten as a sum of terms resembling the two limiting
cases, plus correction terms for N>2, so that a less pronounced sign-dependence
still exists.Comment: 34 pages, 1 figur