40 research outputs found
Quantum Hall Conductivity in a Landau Type Model with a Realistic Geometry
In this paper, we revisit some quantum mechanical aspects related to the
Quantum Hall Effect. We consider a Landau type model, paying a special
attention to the experimental and geometrical features of Quantum Hall
experiments. The resulting formalism is then used to compute explicitely the
Hall conductivity from a Kubo formula.Comment: LaTeX, 1 eps figur
Assessment of inoculation methods for screening black alder resistance to Phytophthora Ă—alni
International audienceIdentification of resistance to Phytophthora Ă—alni could provide the basis for a management strategy against alder decline in riparian ecosystems in Europe. Our objectives were to test methods to evaluate the resistance of riparian alders to the disease, and to screen alder genotypes for resistance. P. Ă—alni isolates were compared for their stability in collection, aggressiveness (lesion length on stem) and sporulation capacity (sporangia). While no difference of lesion lengths was found between P. Ă—alni isolates, sporangia production was dependent on isolate, highlighting the need to select carefully isolates for inoculation methods dealing with zoospores suspension. Inoculation tests carried out at different periods of the year revealed a seasonal change in susceptibility to the disease, with the period from June to September being the most efficient for inoculation tests. Stem-wounded inoculations tests carried out on excised shoots were found unreliable for evaluating the level of resistance of alder genotypes to P. Ă—alni infection, with divergent results between two successive years or between two inoculation periods during the same year. In contrast, a method which mimics the natural conditions of infection based on flooding of rooted cuttings in artificially infected river water was found promising. Another method based on the inoculation of foliated terminal shoots with zoospore suspensions was found to be repeatable and could be used for high throughput analyses. Altogether, the results show a continuous resistance response from highly susceptible to moderately resistant genotypes. This suggests that breeding might be a useful strategy to manage alder decline caused by P. Ă—alni
Vortex in Maxwell-Chern-Simons models coupled to external backgrounds
We consider Maxwell-Chern-Simons models involving different non-minimal
coupling terms to a non relativistic massive scalar and further coupled to an
external uniform background charge. We study how these models can be
constrained to support static radially symmetric vortex configurations
saturating the lower bound for the energy. Models involving Zeeman-type
coupling support such vortices provided the potential has a "symmetry breaking"
form and a relation between parameters holds. In models where minimal coupling
is supplemented by magnetic and electric field dependant coupling terms, non
trivial vortex configurations minimizing the energy occur only when a non
linear potential is introduced. The corresponding vortices are studied
numericallyComment: LaTeX file, 2 figure
Searching for the dual of the Maxwell-Chern-Simons model minimally coupled to dynamical U(1) charged matter
The possibility of dual equivalence between the self-dual and the
Maxwell-Chern-Simons (MCS) models when the latter is coupled to dynamical, U(1)
fermionic charged matter is examined. The proper coupling in the self-dual
model is then disclosed using the iterative gauge embedding approach. We found
that the self-dual potential needs to couple directly to the Chern-Kernel of
the source in order to establish this equivalence besides the need for a
self-interaction term to render the matter sector unchanged.Comment: 4 pages, RevTeX, new references, accepted for publication on Phys.
Lett.
Hamiltonians for the Quantum Hall Effect on Spaces with Non-Constant Metrics
The problem of studying the quantum Hall effect on manifolds with nonconstant
metric is addressed. The Hamiltonian on a space with hyperbolic metric is
determined, and the spectrum and eigenfunctions are calculated in closed form.
The hyperbolic disk is also considered and some other applications of this
approach are discussed as well.Comment: 16 page
Global quantum Hall phase diagram from visibility diagrams
We propose a construction of a global phase diagram for the quantum Hall
effect. This global phase diagram is based on our previous constructions of
visibility diagrams in the context of the Quantum Hall Effect. The topology of
the phase diagram we obtain is in good agreement with experimental observations
(when the spin effect can be neglected). This phase diagram does not show
floating.Comment: LaTeX2e, 9 pages, 5 eps figure
Self-duality in Maxwell-Chern-Simons type effective theories
We consider a class of (2+1)-dimensional nonlocal effective models with a MaxwellChern-Simons part for which the Maxwell term involves a suitable nonlocality that permits one to take into account some (3+1)-dimensional features of "real" planar systems. We show that this class of models exhibits a hidden duality symmetry stemming from the Maxwell-Chern-Simons part of the action. We discuss and illustrate this result in the framework of a (2+1)-dimensional effective model describing (massive) vortices and charges with realistic interactions