116 research outputs found
Crystal-field effects in the mixed-valence compounds Yb2M3Ga9 (M= Rh, Ir)
Magnetic susceptibility, heat capacity, and electrical resistivity
measurements have been carried out on single crystals of the intermediate
valence compounds Yb2Rh3Ga9 and Yb2Ir3Ga9. These measurements reveal a large
anisotropy due apparently to an interplay between crystalline electric field
(CEF) and Kondo effects. The temperature dependence of magnetic susceptibility
can be modelled using the Anderson impurity model including CEF within an
approach based on the Non-Crossing Approximation.Comment: Accepted to Phys. Rev.
Kondo Effect in Single Quantum Dot Systems --- Study with Numerical Renormalization Group Method ---
The tunneling conductance is calculated as a function of the gate voltage in
wide temperature range for the single quantum dot systems with Coulomb
interaction. We assume that two orbitals are active for the tunneling process.
We show that the Kondo temperature for each orbital channel can be largely
different. The tunneling through the Kondo resonance almost fully develops in
the region T \lsim 0.1 T_{K}^{*} \sim 0.2 T_{K}^{*}, where is the
lowest Kondo temperature when the gate voltage is varied. At high temperatures
the conductance changes to the usual Coulomb oscillations type. In the
intermediate temperature region, the degree of the coherency of each orbital
channel is different, so strange behaviors of the conductance can appear. For
example, the conductance once increases and then decreases with temperature
decreasing when it is suppressed at T=0 by the interference cancellation
between different channels. The interaction effects in the quantum dot systems
lead the sensitivities of the conductance to the temperature and to the gate
voltage.Comment: 22 pages, 18 figures, LaTeX, to be published in J. Phys. Soc. Jpn.
Vol. 67 No. 7 (1998
Thermodynamics and Crossover Phenomena in the Correlation Lengths of the One-Dimensional t-J Model
We investigate the thermodynamics of the one-dimensional t-J model using
transfer matrix renormalization group (TMRG) algorithms and present results for
quantities like particle number, specific heat, spin susceptibility and
compressibility. Based on these results we confirm a phase diagram consisting
of a Tomonaga-Luttinger liquid (TLL) phase for small J/t and a phase separated
state for J/t large. Close to phase separation we find a spin-gap
(Luther-Emery) phase at low densities consistent with predictions by other
studies. At the supersymmetric point we compare our results with exact results
from the Bethe ansatz and find excellent agreement. In particular we focus on
the calculation of correlation lengths and static correlation functions and
study the crossover from the non-universal high T lattice into the quantum
critical regime. At the supersymmetric point we compare in detail with
predictions by conformal field theory (CFT) and TLL theory and show the
importance of logarithmic corrections.Comment: 14 pages, 20 figure
Investigation of the Two-Particle-Self-Consistent Theory for the Single-Impurity Anderson Model and an Extension to the Case of Strong Correlation
The two-particle-self-consistent theory is applied to the single-impurity
Anderson model. It is found that it cannot reproduce the small energy scale in
the strong correlation limit. A modified scheme to overcome this difficulty is
proposed by introducing an appropriate vertex correction explicitly. Using the
same vertex correction, the self-energy is investigated, and it is found that
under certain assumptions it reproduces the result of the modified perturbation
theory which interpolates the weak and the strong correlation limits.Comment: 5 pages, 7 figures, submitted to J. Phys. Soc. Jp
Modified Perturbation Theory Applied to Kondo-Type Transport through a Quantum Dot under a Magnetic Field
Linear conductance through a quantum dot is calculated under a finite
magnetic field using the modified perturbation theory. The method is based on
the second-order perturbation theory with respect to the Coulomb repulsion, but
the self-energy is modified to reproduce the correct atomic limit and to
fulfill the Friedel sum rule exactly. Although this method is applicable only
to zero temperature in a strict sense, it is approximately extended to finite
temperatures. It is found that the conductance near electron-hole symmetry is
suppressed by the application of the magnetic field at low temperatures.
Positive magnetoconductance is observed in the case of large electron-hole
asymmetry.Comment: 4pages, 5 figure
Elementary Excitations and Dynamical Correlation Functions of the Calogero-Sutherland Model with Internal Symmetry
We consider the physical properties of elementary excitations of the
Calogero-Sutherland (CS) model with SU(K) internal symmetry. From the results
on the thermodynamics of this model, we obtain the charge, spin, and statistics
of elementary excitations. Combining this knowledge and the known results on
the dynamics in the spinless CS model, we propose the expression for the
dynamical correlation functions of the SU(K) CS model. In the asymptotic
region, we confirm the consistency of our results with predictions from
conformal field theory.Comment: 22 pages, REVTe
Image-potential band-gap narrowing at a metal/semiconductor interface
GW approximation is used to systematically revisit the image-potential
band-gap narrowing at metal/semiconductor interfaces proposed by Inkson in the
1970's. Here we have questioned how the narrowing as calculated from
quasi-particle energy spectra for the jellium/Si interface depends on of
the jellium. The gap narrowing is found to only weakly depend on (i.e.,
narrowing eV even for a large . Hence we can turn to
smaller polarizability in the semiconductor side as an important factor in
looking for larger narrowing.Comment: 6 pages, 7 figure
Transport in Quantum Dots from the Integrability of the Anderson Model
In this work we exploit the integrability of the two-lead Anderson model to
compute transport properties of a quantum dot, in and out of equilibrium. Our
method combines the properties of integrable scattering together with a
Landauer-Buttiker formalism. Although we use integrability, the nature of the
problem is such that our results are not generically exact, but must only be
considered as excellent approximations which nonetheless are valid all the way
through crossover regimes.
The key to our approach is to identify the excitations that correspond to
scattering states and then to compute their associated scattering amplitudes.
We are able to do so both in and out of equilibrium. In equilibrium and at zero
temperature, we reproduce the Friedel sum rule for an arbitrary magnetic field.
At finite temperature, we study the linear response conductance at the
symmetric point of the Anderson model, and reproduce Costi et al.'s numerical
renormalization group computation of this quantity. We then explore the
out-of-equilibrium conductance for a near-symmetric Anderson model, and arrive
at quantitative expressions for the differential conductance, both in and out
of a magnetic field. We find the expected splitting of the differential
conductance peak into two in a finite magnetic field, . We determine the
width, height, and position of these peaks. In particular we find for H >> T_k,
the Kondo temperature, the differential conductance has maxima of e^2/h
occuring for a bias V close to but smaller than H. The nature of our
construction of scattering states suggests that our results for the
differential magneto-conductance are not merely approximate but become exact in
the large field limit.Comment: 88 pages, 16 figures, uses harvmac.te
Nonequilibrium Transport through a Kondo Dot in a Magnetic Field: Perturbation Theory
Using nonequilibrium perturbation theory, we investigate the nonlinear
transport through a quantum dot in the Kondo regime in the presence of a
magnetic field. We calculate the leading logarithmic corrections to the local
magnetization and the differential conductance, which are characteristic of the
Kondo effect out of equilibrium. By solving a quantum Boltzmann equation, we
determine the nonequilibrium magnetization on the dot and show that the
application of both a finite bias voltage and a magnetic field induces a novel
structure of logarithmic corrections not present in equilibrium. These
corrections lead to more pronounced features in the conductance, and their form
calls for a modification of the perturbative renormalization group.Comment: 16 pages, 7 figure
Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions
The development in the study of supersymmetric many-particle quantum systems
with inverse-square interactions is reviewed. The main emphasis is on quantum
systems with dynamical OSp(2|2) supersymmetry. Several results related to
exactly solved supersymmetric rational Calogero model, including shape
invariance, equivalence to a system of free superoscillators and non-uniqueness
in the construction of the Hamiltonian, are presented in some detail. This
review also includes a formulation of pseudo-hermitian supersymmetric quantum
systems with a special emphasis on rational Calogero model. There are quite a
few number of many-particle quantum systems with inverse-square interactions
which are not exactly solved for a complete set of states in spite of the
construction of infinitely many exact eigen functions and eigenvalues. The
Calogero-Marchioro model with dynamical SU(1,1|2) supersymmetry and a quantum
system related to short-range Dyson model belong to this class and certain
aspects of these models are reviewed. Several other related and important
developments are briefly summarized.Comment: LateX, 65 pages, Added Acknowledgment, Discussions and References,
Version to appear in Jouranl of Physics A: Mathematical and Theoretical
(Commissioned Topical Review Article
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