2,372 research outputs found
String Field Theory Vertices, Integrability and Boundary States
We study Neumann coefficients of the various vertices in the Witten's open
string field theory (SFT). We show that they are not independent, but satisfy
an infinite set of algebraic relations. These relations are identified as
so-called Hirota identities. Therefore, Neumann coefficients are equal to the
second derivatives of tau-function of dispersionless Toda Lattice hierarchy
(this tau-function is just the partition sum of normal matrix model). As a
result, certain two-vertices of SFT are identified with the boundary states,
corresponding to boundary conditions on an arbitrary curve. Such two-vertices
can be obtained by the contraction of special surface states with Witten's
three vertex. We analyze a class of SFT surface states,which give rise to
boundary states under this procedure. We conjecture that these special states
can be considered as describing D-branes and other non-perturbative objects as
"solitons" in SFT. We consider some explicit examples, one of them is a surface
states corresponding to orientifold.Comment: 28pages plus appendices, acknowledgments adde
Non-renormalization of two and three Point Correlators of N=4 SYM in N=1 Superspace
Certain two and three point functions of gauge invariant primary operators of
SYM are computed in superspace keeping all the
-components. This allows one to read off many component descendent
correlators. Our results show the only possible corrections to the
free field correlators are contact terms. Therefore they vanish for operators
at separate points, verifying the known non-renormalization theorems. This also
implies the results are consistent with supersymmetry even though
the Lagrangian we use has only manifest supersymmetry. We repeat
some of the calculations using supersymmetric Landau gauge and obtain, as
expected, the same results as those of supersymmetric Feynman gauge.Comment: 10 pages, 20 eps figures, references adde
Reduced leakage current in Josephson tunnel junctions with codeposited barriers
Josephson junctions were fabricated using two different methods of barrier
formation. The trilayers employed were Nb/Al-AlOx/Nb on sapphire, where the
first two layers were epitaxial. The oxide barrier was formed either by
exposing the Al surface to O2 or by codepositing Al in an O2 background. The
codeposition process yielded junctions that showed the theoretically predicted
subgap current and no measurable shunt conductance. In contrast, devices with
barriers formed by thermal oxidation showed a small shunt conductance in
addition to the predicted subgap current.Comment: 3 pages, 4 figure
Quantum phase slips in a confined geometry
We consider tunneling of vortices across a superconducting film that is both
narrow and short (and connected to bulk superconducting leads at the ends). We
find that in the superconducting state the resistance, at low values of the
temperature (T) and current, does not follow the power-law dependence on T
characteristic of longer samples but is exponential in 1/T. The coefficient of
1/T in the exponent depends on the length or, equivalently, the total
normal-state resistance of the sample. These conclusions persist in the
one-dimensional limit, which is similar to the problem of quantum phase slips
in an ultra-narrow short wire.Comment: 14 pages, 1 figure; published in Phys. Rev.
Josephson effect in graphene SBS junctions
We study Josephson effect in graphene superconductor- barrier- superconductor
junctions with short and wide barriers of thickness and width , which
can be created by applying a gate voltage across the barrier region. We
show that Josephson current in such graphene junctions, in complete contrast to
their conventional counterparts, is an oscillatory function of both the barrier
width and the applied gate voltage . We also demonstrate that in the
thin barrier limit, where and keeping
finite, such an oscillatory behavior can be understood in terms of transmission
resonance of Dirac-Bogoliubov-de Gennes quasiparticles in superconducting
graphene. We discuss experimental relevance of our work.Comment: 7 Pg., 6 Figs, extended version submitted to PR
Impurity band in clean superconducting weak links
Weak impurity scattering produces a narrow band with a finite density of
states near the phase difference in the mid-gap energy spectrum of
a macroscopic superconducting weak link. The equivalent distribution of
transmission coefficients of various cunducting quantum channels is found.Comment: 4 pages, 4 figures, changed conten
Aharonov-Bohm differential conductance modulation in defective metallic single-wall carbon nanotubes
Using a perturbative approach, the effects of the energy gap induced by the
Aharonov-Bohm (AB) flux on the transport properties of defective metallic
single-walled carbon nanotubes (MSWCNTs) are investigated. The electronic waves
scattered back and forth by a pair of impurities give rise to Fabry-Perot
oscillations which constitutes a coherent backscattering interference pattern
(CBSIP). It is shown that, the CBSIP is aperiodically modulated by applying a
magnetic field parallel to the nanotube axis. In fact, the AB-flux brings this
CBSIP under control by an additional phase shift. As a consequence, the extrema
as well as zeros of the CBSIP are located at the irrational fractions of the
quantity , where is the flux piercing the
nanotube cross section and is the magnetic quantum flux. Indeed,
the spacing between two adjacent extrema in the magneto-differential
conductance (MDC) profile is decreased with increasing the magnetic field. The
faster and higher and slower and shorter variations is then obtained by
metallic zigzag and armchair nanotubes, respectively. Such results propose that
defective metallic nanotubes could be used as magneto-conductance switching
devices based on the AB effect.Comment: 11 pages, 4 figure
The theory of the reentrant effect in susceptibility of cylindrical mesoscopic samples
A theory has been developed to explain the anomalous behavior of the magnetic
susceptibility of a normal metal-superconductor () structure in weak
magnetic fields at millikelvin temperatures. The effect was discovered
experimentally by A.C. Mota et al \cite{10}. In cylindrical superconducting
samples covered with a thin normal pure metal layer, the susceptibility
exhibited a reentrant effect: it started to increase unexpectedly when the
temperature lowered below 100 mK. The effect was observed in mesoscopic
structures when the and metals were in good electric contact. The
theory proposed is essentially based on the properties of the Andreev levels in
the normal metal. When the magnetic field (or temperature) changes, each of the
Andreev levels coincides from time to time with the chemical potential of the
metal. As a result, the state of the structure experiences strong
degeneracy, and the quasiparticle density of states exhibits resonance spikes.
This generates a large paramagnetic contribution to the susceptibility, which
adds up to the diamagnetic contribution thus leading to the reentrant effect.
The explanation proposed was obtained within the model of free electrons. The
theory provides a good description for experimental results [10]
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