140 research outputs found
Exact finite-size spectrum for the multi-channel Kondo model and Kac-Moody fusion rules
The finite-size spectrum for the multi-channel Kondo model is derived
analytically from the exact solution, by mapping the nontrivial Z part of
the Kondo scattering into that for the RSOS model coupled with the impurity.
The analysis is performed for the case of , where is the number of
channel and is the impurity spin. The result obtained is in accordance with
the Kac-Moody fusion hypothesis proposed by Affleck and Ludwig.Comment: RevTex, 4 page
Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
We study the current in a multi-channel quantum wire and the magnetization in
the multi-channel Kondo problem. We show that at zero temperature they can be
written simply in terms of contour integrals over a (two-dimensional)
hyperelliptic curve. This allows one to easily demonstrate the existence of
weak-coupling to strong-coupling dualities. In the Kondo problem, the curve is
the same for under- and over-screened cases; the only change is in the contour.Comment: 7 pages, 1 figure, revte
Kinks in the Kondo problem
We find the exact quasiparticle spectrum for the continuum Kondo problem of
species of electrons coupled to an impurity of spin . In this
description, the impurity becomes an immobile quasiparticle sitting on the
boundary. The particles are ``kinks'', which can be thought of as field
configurations interpolating between adjacent wells of a potential with
degenerate minima. For the overscreened case , the boundary has this kink
structure as well, which explains the non-integer number of boundary states
previously observed. Using simple arguments along with the consistency
requirements of an integrable theory, we find the exact elastic -matrix for
the quasiparticles scattering among themselves and off of the boundary. This
allows the calculation of the exact free energy, which agrees with the known
Bethe ansatz solution.Comment: 9 pages +1 figur
Finite-temperature properties of the two-orbital Anderson model
The metallic phase of the two-orbital Anderson lattice is study in the limit
of infinite spatial dimensions, where a second order perturbation treatment is
used to solve the single-site problem. Using this approximation, in the Kondo
regime, we find that the finite temperature properties of the conduction
electrons exhibit the same behaviour as observed in the metallic phase of the
two-channel Kondo lattice. Possible connections between these two models are
discussed.Comment: 4 pages, 2 figures, to appear in Journal of Physics: Condensed Matte
On The Multichannel Kondo Model"
A detailed and comprehensive study of the one-impurity multichannel Kondo
model is presented. In the limit of a large number of conduction electron
channels , the low energy fixed point is accessible to a
renormalization group improved perturbative expansion in . This
straightforward approach enables us to examine the scaling, thermodynamics and
dynamical response functions in great detail and make clear the following
features: i) the criticality of the fixed point; ii) the universal non-integer
degeneracy; iii) that the compensating spin cloud has the spatial extent of the
order of one lattice spacing.Comment: 28 pages, REVTEX 2.0. Submitted to J. Phys.: Cond. Mat. Reference
.bbl file is appended at the end. 5 figures in postscript files can be
obtained at [email protected]. The filename is gan.figures.tar.z and
it's compressed. You can uncompress it by using commands: "uncompress
gan.figures.tar.z" and "tar xvf gan.figures.tar". UBC Preprin
Quantum phase transition in a two-channel-Kondo quantum dot device
We develop a theory of electron transport in a double quantum dot device
recently proposed for the observation of the two-channel Kondo effect. Our
theory provides a strategy for tuning the device to the non-Fermi-liquid fixed
point, which is a quantum critical point in the space of device parameters. We
explore the corresponding quantum phase transition, and make explicit
predictions for behavior of the differential conductance in the vicinity of the
quantum critical point
Kondo effect in two-dimensional disordered electron systems
We investigate the Kondo effect in two-dimensional disordered electron
systems using a finite-temperature quantum Monte Carlo method. Depending on the
position of a magnetic impurity, the local moment is screened or unscreened by
the spin of the conduction electron. On the basis of the results, we show that
the distribution of the Kondo temperature becomes wide and the weight at
becomes large as randomness increases. The average susceptibility shows
a weak power-law or logarithmic divergence at low temperature, indicating a
non-Fermi-liquid behavior.Comment: 2 pages, 2 figures, to be published in supplement of J. Phys. Soc.
Japan, Proceedings of Localisation 2002, (Tokyo, Japan, 2002
Theoretical analysis of the transmission phase shift of a quantum dot in the presence of Kondo correlations
We study the effects of Kondo correlations on the transmission phase shift of
a quantum dot coupled to two leads in comparison with the experimental
determinations made by Aharonov-Bohm (AB) quantum interferometry. We propose
here a theoretical interpretation of these results based on scattering theory
combined with Bethe ansatz calculations. We show that there is a factor of 2
difference between the phase of the S-matrix responsible for the shift in the
AB oscillations, and the one controlling the conductance. Quantitative
agreement is obtained with experimental results for two different values of the
coupling to the leads.Comment: 4 pages, 4 figures, accepted for publication in Physical Review
Letter
Strong coupling in the Kondo problem in the low-temperature region
The magnetic field dependence of the average spin of a localized electron
coupled to conduction electrons with an antiferromagnetic exchange interaction
is found for the ground state. In the magnetic field range
( is the Kondo temperature) there is an inflection point, and in the
strong magnetic field range , the correction to the average spin
is proportional to . In zero magnetic field, the interaction
with conduction electrons also leads to the splitting of doubly degenerate spin
impurity states
Kondo Quartet
This article describes some recently obtained results on the low-energy
properties of the "Kondo quartet" model of two spin-1/2 impurities interacting
with two channels (flavours) of conduction electrons. We shall particularly
emphasize the connections between conformal field-theory methods and
bosonisation approaches, which are first illustrated on the example of the
single-impurity, two-channel Kondo problem. This article is dedicated to the
memory of Claude Itzykson, and will appear in the Proceedings of the Conference
"Advanced Quantum Field Theory", held in La Londe Les Maures, Sept. 1996 (Nucl.
Phys. B, Proc. Supp.; V.Rittenberg, J.Fr\"{o}lich and A.Schwimmer eds.).Comment: 18 pages, RevTeX3.0, 2 .ps figure
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