510 research outputs found
Overtones of Isoscalar Giant Resonances in medium-heavy and heavy nuclei
A semi-microscopic approach based on both the
continum-random-phase-approximation (CRPA) method and a phenomenological
treatment of the spreading effect is extended and applied to describe the main
properties (particle-hole strength distribution, energy-dependent transition
density, partial direct-nucleon-decay branching ratios) of the isoscalar giant
dipole, second monopole, and second quadrupole resonances. Abilities of the
approach are checked by description of gross properties of the main-tone
resonances. Calculation results obtained for the resonances in a few singly-
and doubly-closed-shell nuclei are compared with available experimental data.Comment: 12 pages, 14 figures, submitted to Phys. Rev.
Shuttle Mechanism for Charge Transfer in Coulomb Blockade Nanostructures
Room-temperature Coulomb blockade of charge transport through composite
nanostructures containing organic inter-links has recently been observed. A
pronounced charging effect in combination with the softness of the molecular
links implies that charge transfer gives rise to a significant deformation of
these structures. For a simple model system containing one nanoscale metallic
cluster connected by molecular links to two bulk metallic electrodes we show
that self-excitation of periodic cluster oscillations in conjunction with
sequential processes of cluster charging and decharging appears for a
sufficiently large bias voltage. This new `electron shuttle' mechanism of
discrete charge transfer gives rise to a current through the nanostructure,
which is proportional to the cluster vibration frequency.Comment: 4 pages, 4 figure
Far-infrared induced current in a ballistic channel -- potential barrier structure
We consider electron transport in a ballistic multi-mode channel structure in
the presence of a transversely polarized far-infrared (FIR) field. The channel
structure consists of a long resonance region connected to an adiabatic
widening with a potential barrier at the end. At frequencies that match the
mode energy separation in the resonance region we find distinct peaks in the
photocurrent, caused by Rabi oscillations in the mode population. For an
experimental situation in which the width of the channel is tunable via gates,
we propose a method for reconstructing the spectrum of propagating modes,
without having to use a tunable FIR source. With this method the change in the
spectrum as the gate voltage is varied can be monitored.Comment: Submitted to Phys. Rev.
Phonon relaxation of subgap levels in superconducting quantum point contacts
Superconducting quantum point contacts are known to possess two subgap states
per each propagating mode. In this note we compute the low-temperature
relaxation rate of the upper subgap state into the lower one with the emission
of an acoustic phonon. If the reflection in the contact is small, the
relaxation time may become much longer than the characteristic lifetime of a
bulk quasiparticle.Comment: REVTeX, 4 page
Homological algebra for osp(1/2n)
We discuss several topics of homological algebra for the Lie superalgebra
osp(1|2n). First we focus on Bott-Kostant cohomology, which yields classical
results although the cohomology is not given by the kernel of the Kostant
quabla operator. Based on this cohomology we can derive strong
Bernstein-Gelfand-Gelfand resolutions for finite dimensional osp(1|2n)-modules.
Then we state the Bott-Borel-Weil theorem which follows immediately from the
Bott-Kostant cohomology by using the Peter-Weyl theorem for osp(1|2n). Finally
we calculate the projective dimension of irreducible and Verma modules in the
category O
Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs
We provide formulas for the denominator and superdenominator of a basic
classical type Lie superalgebra for any set of positive roots. We establish a
connection between certain sets of positive roots and the theory of reductive
dual pairs of real Lie groups. As an application of our formulas, we recover
the Theta correspondence for compact dual pairs. Along the way we give an
explicit description of the real forms of basic classical type Lie
superalgebras.Comment: Latex, 75 pages. Minor corrections. Final version, to appear in the
Japanese Journal of Mathematic
Electromechanical instability in suspended carbon nanotubes
We have theoretically investigated electromechanical properties of freely
suspended carbon nanotubes when a current is injected into the tubes using a
scanning tunneling microscope. We show that a shuttle-like electromechanical
instability can occur if the bias voltage exceeds a dissipation-dependent
threshold value. An instability results in large amplitude vibrations of the
carbon nanotube bending mode, which modify the current-voltage characteristics
of the system
Isoscalar Giant Dipole Resonance and Nuclear Matter Incompressibility Coefficient
We present results of microscopic calculations of the strength function,
S(E), and alpha-particle excitation cross sections sigma(E) for the isoscalar
giant dipole resonance (ISGDR). An accurate and a general method to eliminate
the contributions of spurious state mixing is presented and used in the
calculations. Our results provide a resolution to the long standing problem
that the nuclear matter incompressibility coefficient, K, deduced from sigma(E)
data for the ISGDR is significantly smaller than that deduced from data for the
isoscalar giant monopole resonance (ISGMR).Comment: 4 pages using revtex 3.0, 3 postscript figures created by Mathematica
4.
Charge and Spin Effects in Mesoscopic Josephson Junctions
We consider the charge and spin effects in low dimensional superconducting
weak links. The first part of the review deals with the effects of
electron-electron interaction in Superconductor/Luttinger liquid/Superconductor
junctions. The experimental realization of this mesoscopic hybrid system can be
the individual single wall carbon nanotube that bridges the gap between two
bulk superconductors. The dc Josephson current through a Luttinger liquid in
the limits of perfectly and poorly transmitting junctions is evaluated. The
relationship between the Josephson effect in a long SNS junction and the
Casimir effect is discussed. In the second part of the paper we review the
recent results concerning the influence of the Zeeman and Rashba interactions
on the thermodynamical properties of ballistic S/QW/S junction fabricated in
two dimensional electron gas. It is shown that in magnetically controlled
junction there are conditions for resonant Cooper pair transition which results
in giant supercurrent through a tunnel junction and a giant magnetic response
of a multichannel SNS junction. The supercurrent induced by the joint action of
the Zeeman and Rashba interactions in 1D quantum wires connected to bulk
superconductors is predicted.Comment: 36 pages, 8 figures; minor changes in reference
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