1,457 research outputs found
Conductance of a spin-1 quantum dot: the two-stage Kondo effect
We discuss the physics of a of a spin-1 quantum dot, coupled to two metallic
leads and develop a simple model for the temperature dependence of its
conductance. Such quantum dots are described by a two-channel Kondo model with
asymmetric coupling constants and the spin screening of the dot by the leads is
expected to proceed via a two-stage process. When the Kondo temperatures of
each channel are widely separated, on cooling, the dot passes through a broad
cross-over regime dominated by underscreened Kondo physics. A singular, or
non-fermi liquid correction to the conductance develops in this regime. At the
lowest temperatures, destructive interference between resonant scattering in
both channels leads to the eventual suppression of the conductance of the dot.
We develop a model to describe the growth, and ultimate suppression of the
conductance in the two channel Kondo model as it is screened successively by
its two channels. Our model is based upon large-N approximation in which the
localized spin degrees of freedom are described using the Schwinger boson
formalism.Comment: 16 pages, 10 figure
Decays of metastable vacua in SQCD
The decay rates of metastable SQCD vacua in ISS-type models, both towards
supersymmetric vacua as well as towards other nonsupersymmetric configurations
arising in theories with elementary spectators, are estimated numerically in
the semiclassical approximation by computing the corresponding multifield
bounce configurations. The scaling of the bounce action with respect to the
most relevant dimensionless couplings and ratios of scales is analyzed. In the
case of the decays towards the susy vacua generated by nonperturbative effects,
the results confirm previous analytical estimations of this scaling, obtained
by assuming a triangular potential barrier. The decay rates towards susy vacua
generated by R-symmetry breaking interactions turn out to be more than
sufficiently suppressed for the phenomenologically relevant parameter range,
and their behavior in this regime differs from analytic estimations valid for
parametrically small scale ratios. It is also shown that in models with
spectator fields, even though the decays towards vacua involving nonzero
spectator VEVs don't have a strong parametric dependence on the scale ratios,
the ISS vacuum can still be made long-lived in the presence of R-symmetry
breaking interactions.Comment: 22 pages, 7 figure
Bosonization in the two-channel Kondo model
The bosonization of the anisotropic two-channel Kondo model is shown
to yield two equivalent representations of the original problem. In a straight
forward extension of the Emery-Kivelson approach, the interacting resonant
level model previously derived by the Anderson-Yuval technique is obtained. In
addition, however, a ``(,)'' description is also found. The
strong coupling fixed point of the (,) model was originally
postulated to be related to the intermediate coupling fixed point of the
two-channel Kondo model. The equivalence of the , model to the
two-channel Kondo model is formally established. A summary of what one may
learn from a simple study of these different representations is also given.Comment: 5 pages, latex (uses revtex and epsf macros) with 1 postscript figur
Fundamental Aspects of the ISM Fractality
The ubiquitous clumpy state of the ISM raises a fundamental and open problem
of physics, which is the correct statistical treatment of systems dominated by
long range interactions. A simple solvable hierarchical model is presented
which explains why systems dominated by gravity prefer to adopt a fractal
dimension around 2 or less, like the cold ISM and large scale structures. This
has direct relation with the general transparency, or blackness, of the
Universe.Comment: 6 pages, LaTeX2e, crckapb macro, no figure, uuencoded compressed tar
file. To be published in the proceeedings of the "Dust-Morphology"
conference, Johannesburg, 22-26 January, 1996, D. Block (ed.), (Kluwer
Dordrecht
Simple description of the anisotropic two-channel Kondo problem
We adapt strong-coupling methods first used in the one-channel Kondo model to
develop a simple description of the spin- two-channel Kondo model
with channel anisotropy. Our method exploits spin-charge decoupling to develop
a compactified Hamiltonian that describes the spin excitations. The structure
of the fixed-point Hamiltonian and quasiparticle impurity S-matrix are
incompatible with a Fermi liquid description.Comment: 4 pages, latex (uses revtex and epsf macros) with 3 figures - all in
a self unpacking uuencoded file. Revisions include changes to Fig. 1(a) and
detailed discussion of the spin excitation
Quantum charged fields in Rindler space
We study, using Rindler coordinates, the quantization of a charged scalar
field interacting with a constant, external, electric field. First we establish
the expression of the Schwinger vacuum decay rate, using the operator
formalism. Then we rederive it in the framework of the Feynman path integral
method. Our analysis reinforces the conjecture which identifies the zero
winding sector of the Minkowski propagator with the Rindler propagator.
Moreover we compute the expression of the Unruh's modes that allow to make
connection between Minkowskian and Rindlerian quantization scheme by purely
algebraic relations. We use these modes to study the physics of a charged two
level detector moving in an electric field whose transitions are due to the
exchange of charged quanta. In the limit where the Schwinger pair production
mechanism of the exchanged quanta becomes negligible we recover the Boltzman
equilibrium ratio for the population of the levels of the detector. Finally we
explicitly show how the detector can be taken as the large mass and charge
limit of an interacting fields system.Comment: 1 Tex file + 5 eps figure
Euclidean Black Hole Vortices
We argue the existence of solutions of the Euclidean Einstein equations that
correspond to a vortex sitting at the horizon of a black hole. We find the
asymptotic behaviours, at the horizon and at infinity, of vortex solutions for
the gauge and scalar fields in an abelian Higgs model on a Euclidean
Schwarzschild background and interpolate between them by integrating the
equations numerically. Calculating the backreaction shows that the effect of
the vortex is to cut a slice out of the Euclidean Schwarzschild geometry.
Consequences of these solutions for black hole thermodynamics are discussed.Comment: 24 page
Topological Structure of the SU(3) Vacuum
We investigate the topological structure of the vacuum in SU(3) lattice gauge
theory. We use under-relaxed cooling to remove the high-frequency fluctuations
and a variety of "filters" to identify the topological charges in the resulting
smoothened field configurations. We find a densely packed vacuum with an
average instanton size, in the continuum limit, of about 0.5 fm. The density at
large sizes decreases as a large inverse power of the size. At small sizes we
see some sign of a trend towards the asymptotic perturbative behaviour. We find
that an interesting polarisation phenomenon occurs: the large topological
charges tend to have, on the average, the same sign and are over-screened by
the smaller charges which tend to have, again on the average, the opposite sign
to the larger instantons. We also calculate the topological susceptibility for
which we obtain a continuum value of about 187 MeV. We perform the calculations
for various volumes, lattice spacings and numbers of cooling sweeps, so as to
obtain some control over the associated systematic errors. The coupling range
is from beta=6.0 to beta=6.4 and the lattice volumes range from 16x16x16x48 to
32x32x32x64.Comment: LaTeX. Self-unpacking, uuencoded tar-compressed fil
Q-stars in extra dimensions
We study q-stars with global and local U(1) symmetry in extra dimensions in
asymptotically anti de Sitter or flat spacetime. The behavior of the mass,
radius and particle number of the star is quite different in 3 dimensions, but
in 5, 6, 8 and 11 dimensions is similar to the behavior in 4.Comment: 18 pages, to appear in Phys. Rev.
Capacitance of a quantum dot from the channel-anisotropic two-channel Kondo model
We investigate the charge fluctuations of a large quantum dot coupled to a
two-dimensional electron gas via a quantum point contact following the work of
Matveev. We limit our discussion to the case where exactly two channels enter
the dot and we discuss the role of an anisotropy between the transmission
coefficients (for these two channels) at the constriction. Experimentally, a
channel-anisotropy can be introduced applying a relatively weak in-plane
magnetic field to the system when only one ``orbital'' channel is open. The
magnetic field leads to different transmission amplitudes for spin-up and
spin-down electrons.
In a strong magnetic field the anisotropic two-channel limit corresponds to
two (spin-polarized) orbital channels entering the dot.
The physics of the charge fluctuations can be captured using a mapping on the
channel-anisotropic two-channel Kondo model. For the case of weak reflection at
the point contact this has already briefly been stressed by one of us in PRB
{\bf 64}, 161302R (2001). This mapping is also appropriate to discuss the
conductance behavior of a two-contact set-up in strong magnetic field.
Here, we elaborate on this approach and also discuss an alternative solution
using a mapping on a channel-isotropic Kondo model. In addition we consider the
limit of weak transmission.
We show that the Coulomb-staircase behavior of the charge in the dot as a
function of the gate voltage, is already smeared out by a small
channel-anisotropy both in the weak- and strong transmission limits.Comment: 17 pages, 4 figures, 1 Table; Expands cond-mat/0101126; Sec. VI on
2-contact setup added (Final version for PRB
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