6,636 research outputs found
Kondo insulators in the periodic Anderson model: a local moment approach
The symmetric periodic Anderson model is well known to capture the essential
physics of Kondo insulator materials. Within the framework of dynamical
mean-field theory, we develop a local moment approach to its single-particle
dynamics in the paramagnetic phase. The approach is intrinsically
non-perturbative, encompasses all energy scales and interaction strengths, and
satisfies the low-energy dictates of Fermi liquid theory. It captures in
particular the strong coupling behaviour and exponentially small quasiparticle
scales characteristic of the Kondo lattice regime, as well as simple
perturbative behaviour in weak coupling. Particular emphasis is naturally given
to strong coupling dynamics, where the resultant clean separation of energy
scales enables the scaling behaviour of single-particle spectra to be obtained.Comment: 15 pages, 10 postscript figures, accepted for publication in EPJ B;
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Wakes from arrays of buildings
Experiments were carried out in a small wind tunnel in which atmospheric flow around buildings was simulated. Arrays of one, two, three, and four model buildings were tested, and wake profiles of velocity and turbulence were measured. The data indicate the effect of the buildings on the wind environment encountered by aircraft during landing or takeoff operations. It was possible to use the results to locate the boundaries of the air regions affected by the obstacles and to recommend preferred arrangements of buildings to maximize light safety
Wind tunnel measurements of three-dimensional wakes of buildings
Measurements relevant to the effect of buildings on the low level atmospheric boundary layer are presented. A wind tunnel experiment was undertaken to determine the nature of the flow downstream from a gap between two transversely aligned, equal sized models of rectangular cross section. These building models were immersed in an equilibrium turbulent boundary layer which was developed on a smooth floor in a zero longitudinal pressure gradient. Measurements with an inclined (45 degree) hot-wire were made at key positions downstream of models arranged with a large, small, and no gap between them. Hot-wire theory is presented which enables computation of the three mean velocity components, U, V and W, as well as Reynolds stresses. These measurements permit understanding of the character of the wake downstream of laterally spaced buildings. Surface streamline patterns obtained by the oil film method were used to delineate the separation region to the rear of the buildings for a variety of spacings
Rough-to-smooth transition of an equilibrium neutral constant stress layer
Purpose of research on rough-to-smooth transition of an equilibrium neutral constant stress layer is to develop a model for low-level atmospheric flow over terrains of abruptly changing roughness, such as those occurring near the windward end of a landing strip, and to use the model to derive functions which define the extent of the region affected by the roughness change and allow adequate prediction of wind and shear stress profiles at all points within the region. A model consisting of two bounding logarithmic layers and an intermediate velocity defect layer is assumed, and dimensionless velocity and stress distribution functions which meet all boundary and matching conditions are hypothesized. The functions are used in an asymptotic form of the equation of motion to derive a relation which governs the growth of the internal boundary layer. The growth relation is used to predict variation of surface shear stress
Quantum phase transition in capacitively coupled double quantum dots
We investigate two equivalent, capacitively coupled semiconducting quantum
dots, each coupled to its own lead, in a regime where there are two electrons
on the double dot. With increasing interdot coupling a rich range of behavior
is uncovered: first a crossover from spin- to charge-Kondo physics, via an
intermediate SU(4) state with entangled spin and charge degrees of freedom;
followed by a quantum phase transition of Kosterlitz-Thouless type to a
non-Fermi liquid `charge-ordered' phase with finite residual entropy and
anomalous transport properties. Physical arguments and numerical
renormalization group methods are employed to obtain a detailed understanding
of the problem.Comment: 4 pages, 3 figure
Two-channel Kondo physics in odd impurity chains
We study odd-membered chains of spin-(1/2) impurities, with each end
connected to its own metallic lead. For antiferromagnetic exchange coupling,
universal two-channel Kondo (2CK) physics is shown to arise at low energies.
Two overscreening mechanisms are found to occur depending on coupling strength,
with distinct signatures in physical properties. For strong inter-impurity
coupling, a residual chain spin-(1/2) moment experiences a renormalized
effective coupling to the leads; while in the weak-coupling regime, Kondo
coupling is mediated via incipient single-channel Kondo singlet formation. We
also investigate models where the leads are tunnel-coupled to the impurity
chain, permitting variable dot filling under applied gate voltages. Effective
low-energy models for each regime of filling are derived, and for even-fillings
where the chain ground state is a spin singlet, an orbital 2CK effect is found
to be operative. Provided mirror symmetry is preserved, 2CK physics is shown to
be wholly robust to variable dot filling; in particular the single-particle
spectrum at the Fermi level, and hence the low-temperature zero-bias
conductance, is always pinned to half-unitarity. We derive a Friedel-Luttinger
sum rule and from it show that, in contrast to a Fermi liquid, the Luttinger
integral is non-zero and determined solely by the `excess' dot charge as
controlled by gate voltage. The relevance of the work to real quantum dot
devices, where inter-lead charge-transfer processes fatal to 2CK physics are
present, is also discussed. Physical arguments and numerical renormalization
group techniques are used to obtain a detailed understanding of these problems.Comment: 21 pages, 19 figure
A spin-dependent local moment approach to the Anderson impurity model
We present an extension of the local moment approach to the Anderson impurity
model with spin-dependent hybridization. By employing the two-self-energy
description, as originally proposed by Logan and co-workers, we applied the
symmetry restoration condition for the case with spin-dependent hybridization.
Self-consistent ground states were determined through variational minimization
of the ground state energy. The results obtained with our spin-dependent local
moment approach applied to a quantum dot system coupled to ferromagnetic leads
are in good agreement with those obtained from previous work using numerical
renormalization group calculations
Dynamics and transport properties of Kondo insulators
A many-body theory of paramagnetic Kondo insulators is described, focusing
specifically on single-particle dynamics, scattering rates, d.c. transport and
optical conductivities. This is achieved by development of a non-perturbative
local moment approach to the symmetric periodic Anderson model within the
framework of dynamical mean-field theory. Our natural focus is the strong
coupling, Kondo lattice regime; in particular the resultant `universal' scaling
behaviour in terms of the single, exponentially small low-energy scale
characteristic of the problem. Dynamics/transport on all relevant ()
scales are considered, from the gapped/activated behaviour characteristic of
the low-temperature insulator through to explicit connection to single-impurity
physics at high and/or ; and for optical conductivities emphasis is
given to the nature of the optical gap, the temperature scale responsible for
its destruction, and the consequent clear distinction between indirect and
direct gap scales. Using scaling, explicit comparison is also made to
experimental results for d.c. transport and optical conductivites of
Ce_3Bi_4Pt_3, SmB_6 and YbB_{12}. Good agreement is found, even quantitatively;
and a mutually consistent picture of transport and optics results.Comment: 49 pages, 23 figure
BCS - BEC crossover at T=0: A Dynamical Mean Field Theory Approach
We study the T=0 crossover from the BCS superconductivity to Bose-Einstein
condensation in the attractive Hubbard Model within dynamical mean field
theory(DMFT) in order to examine the validity of Hartree-Fock-Bogoliubov (HFB)
mean field theory, usually used to describe this crossover, and to explore
physics beyond it. Quantum fluctuations are incorporated using iterated
perturbation theory as the DMFT impurity solver. We find that these
fluctuations lead to large quantitative effects in the intermediate coupling
regime leading to a reduction of both the superconducting order parameter and
the energy gap relative to the HFB results. A qualitative change is found in
the single-electron spectral function, which now shows incoherent spectral
weight for energies larger than three times the gap, in addition to the usual
Bogoliubov quasiparticle peaks.Comment: 11 pages,12 figures, Published versio
Decoupling Properties of MSSM particles in Higgs and Top Decays
We study the supersymmetric (SUSY) QCD radiative corrections, at the one-loop
level, to , and t quark decays, in the context of the Minimal
Supersymmetric Standard Model (MSSM) and in the decoupling limit. The
decoupling behaviour of the various MSSM sectors is analyzed in some special
cases, where some or all of the SUSY mass parameters become large as compared
to the electroweak scale. We show that in the decoupling limit of both large
SUSY mass parameters and large CP-odd Higgs mass, the decay width approaches its Standard Model value at one loop, with the onset
of decoupling being delayed for large values. However, this
decoupling does not occur if just the SUSY mass parameters are taken large. A
similar interesting non-decoupling behaviour, also enhanced by , is
found in the SUSY-QCD corrections to the decay width
at one loop. In contrast, the SUSY-QCD corrections in the
decay width do decouple and this decoupling is fast.Comment: 19 pages, 10 figures. Invited talk presented by M.J.Herrero at the
5th International Symposium on Radiative Corrections (RADCOR 2000) Carmel CA,
USA, 11-15 September, 200
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