12,680 research outputs found
Phase transitions and gaps in quantum random energy models
By using a previously established exact characterization of the ground state
of random potential systems in the thermodynamic limit, we determine the ground
and first excited energy levels of quantum random energy models, discrete and
continuous. We rigorously establish the existence of a universal first order
quantum phase transition, obeyed by both the ground and the first excited
states. The presence of an exponentially vanishing minimal gap at the
transition is general but, quite interestingly, the gap averaged over the
realizations of the random potential is finite. This fact leaves still open the
chance for some effective quantum annealing algorithm, not necessarily based on
a quantum adiabatic scheme.Comment: 8 pages, 4 figure
Impurity center in a semiconductor quantum ring in the presence of a radial electric field
The problem of an impurity electron in a quantum ring (QR) in the presence of
a radially directed strong external electric field is investigated in detail.
Both an analytical and a numerical approach to the problem are developed. The
analytical investigation focuses on the regime of a strong wire-electric field
compared to the electric field due to the impurity. An adiabatic and
quasiclassical approximation is employed. The explicit dependencies of the
binding energy of the impurity electron on the electric field strength,
parameters of the QR and position of the impurity within the QR are obtained.
Numerical calculations of the binding energy based on a finite-difference
method in two and three dimensions are performed for arbitrary strengths of the
electric field. It is shown that the binding energy of the impurity electron
exhibits a maximum as a function of the radial position of the impurity that
can be shifted arbitrarily by applying a corresponding wire-electric field. The
maximal binding energy monotonically increases with increasing electric field
strength. The inversion effect of the electric field is found to occur. An
increase of the longitudinal displacement of the impurity typically leads to a
decrease of the binding energy. Results for both low- and high-quantum rings
are derived and discussed. Suggestions for an experimentally accessible set-up
associated with the GaAs/GaAlAs QR are provided.Comment: 16 pages, 8 figure
The effect of fluorine-containing inhibitors of corrosion of copper in atmospheric conditions
The effect of fluorine-containing inhibitors of corrosion of copper in atmospheric conditions was studied by method of removing anodic polarization curves and corrosion of full-scale tests. The introduction of the inhibiting compositions as corrosion inhibitor of copper polyfluorinated amines leads to a decrease of the peak current of active dissolution of copper, which increases the corrosion resistance of copper wire rod during transportation in various climate conditions
A comparison of two magnetic ultra-cold neutron trapping concepts using a Halbach-octupole array
This paper describes a new magnetic trap for ultra-cold neutrons (UCNs) made
from a 1.2 m long Halbach-octupole array of permanent magnets with an inner
bore radius of 47 mm combined with an assembly of superconducting end coils and
bias field solenoid. The use of the trap in a vertical, magneto-gravitational
and a horizontal setup are compared in terms of the effective volume and
ability to control key systematic effects that need to be addressed in high
precision neutron lifetime measurements
ABC of N=8, d=1 supermultiplets
We construct a variety of off-shell supermultiplets with
finite numbers of component fields as direct sums of properly constrained
superfields. We also show how these multiplets can be described
in superspace where the whole amount of supersymmetry is
manifest. Some of these multiplets can be obtained by dimensional reduction
{}from multiplets in , whereas others cannot. We give examples
of invariant superfield actions for the multiplets constructed, including
superconformally invariant ones.Comment: 28 page
N=8 superconformal mechanics
We construct new models of N=8 superconformal mechanics associated with the
off-shell N=8, d=1 supermultiplets (3,8,5) and (5,8,3). These two multiplets
are derived as N=8 Goldstone superfields and correspond to nonlinear
realizations of the N=8, d=1 superconformal group OSp(4^*|4) in its supercosets
OSp(4^*|4)/U(1)_R x SO(5) and OSp(4^*|4)/SU(2)_R x SO(4), respectively. The
irreducibility constraints for these superfields automatically follow from
appropriate superconformal covariant conditions on the Cartan superforms. The
N=8 superconformal transformations of the superspace coordinates and the
Goldstone superfields are explicitly given. Interestingly, each N=8
supermultiplet admits two different off-shell N=4 decompositions, with
different N=4 superconformal subgroups SU(1,1|2) and OSp(4^*|2) of OSp(4^*|4)
being manifest as superconformal symmetries of the corresponding N=4, d=1
superspaces. We present the actions for all such N=4 splittings of the N=8
multiplets considered.Comment: 31 pages, LaTeX, typos corrected, reference adde
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