97 research outputs found
Aharonov-Casher effect in a two dimensional hole gas with spin-orbit interaction
We study the quantum interference effects induced by the Aharonov-Casher
phase in a ring structure in a two-dimensional heavy hole (HH) system with
spin-orbit interaction realizable in narrow asymmetric quantum wells. The
influence of the spin-orbit interaction strength on the transport is
investigated analytically. These analytical results allow us to explain the
interference effects as a signature of the Aharonov-Casher Berry phases. Unlike
previous studies on the electron two-dimensional Rashba systems, we find that
the frequency of conductance modulations as a function of the spin-orbit
strength is not constant but increases for larger spin-orbit splittings. In the
limit of thin channel rings (width smaller than Fermi wavelength), we find that
the spin-orbit splitting can be greatly increased due to quantization in the
radial direction. We also study the influence of magnetic field considering
both limits of small and large Zeeman splittings.Comment: 6 pages, 4 figure
Absence of skew scattering in two-dimensional systems: Testing the origins of the anomalous Hall effect
We study the anomalous Hall conductivity in spin-polarized, asymmetrically
confined two-dimensional electron and hole systems, focusing on skew-scattering
contributions to the transport. We find that the skew scattering, principally
responsible for the extrinsic contribution to the anomalous Hall effect,
vanishes for the two-dimensional electron system if both chiral Rashba subbands
are partially occupied, and vanishes always for the two-dimensional hole gas
studied here, regardless of the band filling. Our prediction can be tested with
the proposed coplanar two-dimensional electron/hole gas device and can be used
as a benchmark to understand the crossover from the intrisic to the extrinsic
anomalous Hall effect.Comment: 4 pages, 2 figures include
Palatini versus metric formulation in higher curvature gravity
We compare the metric and the Palatini formalism to obtain the Einstein
equations in the presence of higher-order curvature corrections that consist of
contractions of the Riemann tensor, but not of its derivatives. We find that
there is a class of theories for which the two formalisms are equivalent. This
class contains the Palatini version of Lovelock theory, but also more
Lagrangians that are not Lovelock, but respect certain symmetries. For the
general case, we find that imposing the Levi-Civita connection as an Ansatz,
the Palatini formalism is contained within the metric formalism, in the sense
that any solution of the former also appears as a solution of the latter, but
not necessarily the other way around. Finally we give the conditions the
solutions of the metric equations should satisfy in order to solve the Palatini
equations.Comment: 13 pages, latex. V2: reference added, major changes in section 3,
conclusions partially correcte
T and S dualities and The cosmological evolution of the dilaton and the scale factors
Cosmologically stabilizing radion along with the dilaton is one of the major
concerns of low energy string theory. One can hope that T and S dualities can
provide a plausible answer. In this work we study the impact of S and T duality
invariances on dilaton gravity. We have shown various instances where
physically interesting models arise as a result of imposing the mentioned
invariances. In particular S duality has a very privileged effect in that the
dilaton equations partially decouple from the evolution of the scale factors.
This makes it easy to understand the general rules for the stabilization of the
dilaton. We also show that certain T duality invariant actions become S duality
invariance compatible. That is they mimic S duality when extra dimensions
stabilize.Comment: Corrected a misleading interpretation of the S duality transformation
and a wrong comment on d=10. I thank A.Kaya for pointing this out to me in
time. So the new version is dealing with d=10 only. Added references and
corrected some typos. Minor re-editing. Omitted a section for elaboration in
a further study. Corrected further typo
Anomalous Hall effect in a two-dimensional electron gas
The anomalous Hall effect in a magnetic two-dimensional electron gas with
Rashba spin-orbit coupling is studied within the Kubo-Streda formalism in the
presence of pointlike potential impurities. We find that all contributions to
the anomalous Hall conductivity vanish to leading order in disorder strength
when both chiral subbands are occupied. In the situation that only the majority
subband is occupied, all terms are finite in the weak scattering limit and the
total anomalous Hall conductivity is dominated by skew scattering. We compare
our results to previous treatments and resolve some of the discrepancies
present in the literature.Comment: 11 pages, 5 figure
Supersymmetry Breaking and Dilaton Stabilization in String Gas Cosmology
In this Note we study supersymmetry breaking via gaugino condensation in
string gas cosmology. We show that the same gaugino condensate which is
introduced to stabilize the dilaton breaks supersymmetry. We study the
constraints on the scale of supersymmetry breaking which this mechanism leads
to.Comment: 11 page
Control of Josephson current by Aharonov-Casher Phase in a Rashba Ring
We study the interference effect induced by the Aharonov-Casher phase on the
Josephson current through a semiconducting ring attached to superconducting
leads. Using a 1D model that incorporates spin-orbit coupling in the
semiconducting ring, we calculate the Andreev levels analytically and
numerically, and predict oscillations of the Josephson current due to the AC
phase. This result is valid from the point contact limit to the long channel
length limit, as defined by the ratio of the junction length and the BCS
healing length. We show in the long channel length limit that the impurity
scattering has no effect on the oscillation of the Josephson current, in
contrast to the case of conductivity oscillations in a spin-orbit coupled ring
system attached to normal leads where impurity scattering reduces the amplitude
of oscillations. Our results suggest a new scheme to measure the AC phase with,
in principle, higher sensitivity. In addition, this effect allows for control
of the Josephson current through the gate voltage tuned AC phase.Comment: 12pages, 8 figure
On Winding Branes and Cosmological Evolution of Extra Dimensions in String Theory
We consider evolution of compact extra dimensions in cosmology and try to see
whether wrapped branes can prevent the expansion of the internal space. Some
difficulties of Brandenberger and Vafa mechanism for decompactification are
pointed out. In both pure Einstein and dilaton gravities, we study cosmology of
winding brane gases in a continuum approximation. The energy momentum tensor is
obtained by coupling the brane action to the gravity action and we present
several exact solutions for various brane configurations. T-duality invariance
of the solutions are established in dilaton gravity. Our results indicate that
phenomenologically the most viable scenario can be realized when there is only
one brane wrapping over all extra dimensions.Comment: 17 pages, RevTex4, 2 figures, a paragraph added, to appear in
Classical and Quantum Gravit
Brane to bulk supersymmetry breaking and radion force at micron distances
We study mediation of supersymmetry breaking in the bulk, in models with
primordial supersymmetry breaking on D-branes at the string scale, in the TeV
region. We compute the gravitino and scalar masses up to one-loop level, as
well as the radion coupling to matter. We find that the latter mediates a model
independent force at submillimeter distances that can be tested in
micro-gravity experiments for any dimensionality of the bulk. In the case of
two large dimensions, our type I string framework provides an example which
allows to stabilize the radion potential and determine the desired hierarchy
between the string and Planck scales.Comment: One equation and one figure corrected. Two references added. Version
to be published in Nuclear Physics
Aharonov-Casher and spin Hall effects in two-dimensional mesoscopic ring structures with strong spin-orbit interaction
We study the quantum interference effects induced by the Aharonov-Casher
phase in asymmetrically confined two-dimensional electron and heavy-hole ring
structures systems taking into account the electrically tunable spin-orbit (SO)
interaction. We have calculated the non-adiabatic transport properties of
charges (heavy-holes and electrons) in two-probe thin ring structures and
compare how the form of the SO coupling of the carries affects it. We show that
both the SO splitting of the bands and the carrier density can be used to
modulate the conductance through the ring. We show that the dependence on
carrier density is due to the backscattering from the leads which shows
pronounce resonances when the Fermi energy is close to the eigenenergy of the
ring. We also calculate the spin Hall conductivity and longitudinal
conductivity in four-probe rings as a function of the carrier density and SO
interaction, demonstrating that for heavy-hole carriers both conductivities are
larger than for electrons. Finally, we investigate the transport properties of
mesoscopic rings with spatially inhomogeneous SO coupling. We show that devices
with inhomogeneous SO interaction exhibit an electrically controlled
spin-flipping mechanism.Comment: 10 pages and 7 figure
- …