397 research outputs found
Transport in an inhomogeneous interacting one--dimensional system
Transport through a one--dimensional wire of interacting electrons connected
to semi--infinite leads is investigated using a bosonization approach. An
incident electron is transmitted as a sequence of partial charges. The dc
conductance is found to be entirely determined by the properties of the leads.
The dynamic nonlocal conductivity is rigorously expressed in terms of the
transmission. For abrupt variations of the interaction parameters at the
junctions the central wire acts as a Fabry--Perot resonator. When one of the
connected wires has a tendency towards superconducting order, partial Andreev
reflection of an incident electron occurs.Comment: 11 pages, RevTeX 3.0, 1 postscript figure, everything in a uuencoded
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On the Inequivalence of Weak-Localization and Coherent Backscattering
We define a current-conserving approximation for the local conductivity
tensor of a disordered system which includes the effects of weak localization.
Using this approximation we show that the weak localization effect in
conductance is not obtained simply from the diagram corresponding to the
coherent back-scattering peak observed in optical experiments. Other diagrams
contribute to the effect at the same order and decrease its value. These
diagrams appear to have no semiclassical analogues, a fact which may have
implications for the semiclassical theory of chaotic systems. The effects of
discrete symmetries on weak localization in disordered conductors is evaluated
and and compared to results from chaotic scatterers.Comment: 24 pages revtex + 12 figures on request; hub.94.
Inter edge Tunneling in Quantum Hall Line Junctions
We propose a scenario to understand the puzzling features of the recent
experiment by Kang and coworkers on tunneling between laterally coupled quantum
Hall liquids by modeling the system as a pair of coupled chiral Luttinger
liquid with a point contact tunneling center. We show that for filling factors
the effects of the Coulomb interactions move the system deep into
strong tunneling regime, by reducing the magnitude of the Luttinger parameter
, leading to the appearance of a zero-bias differential conductance peak of
magnitude at zero temperature. The abrupt appearance of the zero
bias peak as the filling factor is increased past a value ,
and its gradual disappearance thereafter can be understood as a crossover
controlled by the main energy scales of this system: the bias voltage , the
crossover scale , and the temperature . The low height of the zero bias
peak observed in the experiment, and its broad finite width,
can be understood naturally within this picture. Also, the abrupt reappearance
of the zero-bias peak for can be explained as an effect caused
by spin reversed electrons, \textit{i. e.} if the 2DEG is assumed to have a
small polarization near . We also predict that as the temperature is
lowered should decrease, and the width of zero-bias peak should become
wider. This picture also predicts the existence of similar zero bias peak in
the spin tunneling conductance near for .Comment: 17 pages, 8 figure
Quasi-particles in Fractional Quantum Hall Effect Edge Theories
We propose a quasi-particle formulation of effective edge theories for the
fractional quantum Hall effect. For the edge of a Laughlin state with filling
fraction \nu=1/m, our fundamental quasi-particles are edge electrons of charge
-e and edge quasi-holes of charge +e/m. These quasi-particles satisfy exclusion
statistics in the sense of Haldane. We exploit algebraic properties of edge
electrons to derive a kinetic equation for charge transport between a \nu=1/m
fractional quantum Hall edge and a normal metal. We also analyze alternative
`Boltzmann' equations that are directly based on the exclusion statistics
properties of edge quasi-particles. Generalizations to more general filling
fractions (Jain series) are briefly discussed.Comment: 20 pages, 2 eps figures, revtex, references updated, Phys. Rev. B in
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Coherent and sequential photoassisted tunneling through a semiconductor double barrier structure
We have studied the problem of coherent and sequential tunneling through a
double barrier structure, assisted by light considered to be present All over
the structure, i,e emitter, well and collector as in the experimental evidence.
By means of a canonical transformation and in the framework of the time
dependent perturbation theory, we have calculated the transmission coefficient
and the electronic resonant current. Our calculations have been compared with
experimental results turning out to be in good agreement. Also the effect on
the coherent tunneling of a magnetic field parallel to the current in the
presence of light, has been considered.Comment: Revtex3.0, 8figures uuencoded compressed tar-fil
Mesoscopic conductance and its fluctuations at non-zero Hall angle
We consider the bilocal conductivity tensor, the two-probe conductance and
its fluctuations for a disordered phase-coherent two-dimensional system of
non-interacting electrons in the presence of a magnetic field, including
correctly the edge effects. Analytical results are obtained by perturbation
theory in the limit . For mesoscopic systems the conduction
process is dominated by diffusion but we show that, due to the lack of
time-reversal symmetry, the boundary condition for diffusion is altered at the
reflecting edges. Instead of the usual condition, that the derivative along the
direction normal to the wall of the diffusing variable vanishes, the derivative
at the Hall angle to the normal vanishes. We demonstrate the origin of this
boundary condition from different starting points, using (i) a simplified
Chalker-Coddington network model, (ii) the standard diagrammatic perturbation
expansion, and (iii) the nonlinear sigma-model with the topological term, thus
establishing connections between the different approaches. Further boundary
effects are found in quantum interference phenomena. We evaluate the mean
bilocal conductivity tensor , and the mean and variance
of the conductance, to leading order in and to order
, and find that the variance of the conductance
increases with the Hall ratio. Thus the conductance fluctuations are no longer
simply described by the unitary universality class of the case,
but instead there is a one-parameter family of probability distributions. In
the quasi-one-dimensional limit, the usual universal result for the conductance
fluctuations of the unitary ensemble is recovered, in contrast to results of
previous authors. Also, a long discussion of current conservation.Comment: Latex, uses RevTex, 58 pages, 5 figures available on request at
[email protected]. Submitted to Phys. Rev.
Bulk Versus Edge in the Quantum Hall Effect
The manifestation of the bulk quantum Hall effect on edge is the chiral
anomaly. The chiral anomaly {\it is} the underlying principle of the ``edge
approach'' of quantum Hall effect. In that approach, \sxy should not be taken
as the conductance derived from the space-local current-current correlation
function of the pure one-dimensional edge problem.Comment: 4 pages, RevTex, 1 postscript figur
Periphery deformations and tunneling at correlated quantum-Hall edges
We argue that, at any filling factor, correlated quantum-Hall systems possess
a set of chiral boson excitations which are generated by electronically rigid
deformations of the system's periphery. We submit that tunneling electrons can
be accommodated, at low energies, in these systems only by
periphery-deformation excitations. This property would explain the recent
observation of a tunneling density of states at the edge which does not exhibit
a strong dependence on the occurrence or absence of the quantum Hall effect and
has a power-law dependence on energy with exponent (inverse filling factor)-1.Comment: 5 pages, RevTex, final version, to appear in PR
From the Chern-Simons theory for the fractional quantum Hall effect to the Luttinger model of its edges
The chiral Luttinger model for the edges of the fractional quantum Hall
effect is obtained as the low energy limit of the Chern-Simons theory for the
two dimensional system. In particular we recover the Kac-Moody algebra for the
creation and annihilation operators of the edge density waves and the
bosonization formula for the electronic operator at the edge.Comment: 4 pages, LaTeX, 1 Postscript figure include
Simulation of the growth of the 3D Rayleigh-Taylor instability in Supernova Remnants using an expanding reference frame
Context: The Rayleigh-Taylor instabilities generated by the deceleration of a
supernova remnant during the ejecta-dominated phase are known to produce
finger-like structures in the matter distribution which modify the geometry of
the remnant. The morphology of supernova remnants is also expected to be
modified when efficient particle acceleration occurs at their shocks. Aims: The
impact of the Rayleigh-Taylor instabilities from the ejecta-dominated to the
Sedov-Taylor phase is investigated over one octant of the supernova remnant. We
also study the effect of efficient particle acceleration at the forward shock
on the growth of the Rayleigh-Taylor instabilities. Methods: We modified the
Adaptive Mesh Refinement code RAMSES to study with hydrodynamic numerical
simulations the evolution of supernova remnants in the framework of an
expanding reference frame. The adiabatic index of a relativistic gas between
the forward shock and the contact discontinuity mimics the presence of
accelerated particles. Results: The great advantage of the super-comoving
coordinate system adopted here is that it minimizes numerical diffusion at the
contact discontinuity, since it is stationary with respect to the grid. We
propose an accurate expression for the growth of the Rayleigh-Taylor structures
that connects smoothly the early growth to the asymptotic self-similar
behaviour. Conclusions: The development of the Rayleigh-Taylor structures is
affected, although not drastically, if the blast wave is dominated by cosmic
rays. The amount of ejecta that makes it into the shocked interstellar medium
is smaller in the latter case. If acceleration occurs at both shocks the extent
of the Rayleigh-Taylor structures is similar but the reverse shock is strongly
perturbed.Comment: 15 pages, 12 figures, accepted for publication in Astronomy and
Astrophysics with minor editorial changes. Version with full resolution
images can be found at http://www.lpl.arizona.edu/~ffrasche/~12692.pd
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