210 research outputs found
Scaling and Decoherence in the Out-of-Equilibrium Kondo Model
We study the Kondo effect in quantum dots in an out-of-equilibrium state due
to an applied dc-voltage bias. Using the method of infinitesimal unitary
transformations (flow equations), we develop a perturbative scaling picture
that naturally contains both equilibrium coherent and non-equilibrium
decoherence effects. This framework allows one to study the competition between
Kondo effect and current-induced decoherence, and it establishes a large regime
dominated by single-channel Kondo physics for asymmetrically coupled quantum
dots.Comment: 4 pages, 3 figures; v2: minor changes (typos corrected, esp. in Eqs.
(3), (4), references updated, improved layout for figures
Hubbard physics in the symmetric half-filled periodic Anderson-Hubbard model
Two very different methods -- exact diagonalization on finite chains and a
variational method -- are used to study the possibility of a metal-insulator
transition in the symmetric half-filled periodic Anderson-Hubbard model. With
this aim we calculate the density of doubly occupied sites as a function of
various parameters. In the absence of on-site Coulomb interaction ()
between electrons, the two methods yield similar results. The double
occupancy of levels remains always finite just as in the one-dimensional
Hubbard model. Exact diagonalization on finite chains gives the same result for
finite , while the Gutzwiller method leads to a Brinkman-Rice transition
at a critical value (), which depends on and .Comment: 10 pages, 5 figure
Probable absence of a quadrupolar spin-nematic phase in the bilinear-biquadratic spin-1 chain
We study numerically the ground-state phase diagram of the
bilinear-biquadratic spin-1 chain near the ferromagnetic instability point,
where the existence of a gapped or gapless nondimerized quantum nematic phase
has been suggested. Our results, obtained by a highly accurate density-matrix
renormalization-group (DMRG) calculation are consistent with the view that the
order parameter characterizing the dimer phase vanishes only at the point where
the system becomes ferromagnetic, although the existence of a gapped or gapless
nondimerized phase in a very narrow parameter range between the ferromagnetic
and the dimerized regimes cannot be ruled out.Comment: 6 pages, 6 figure
Energy relaxation due to magnetic impurities in mesoscopic wires: Logarithmic approach
The transport in mesoscopic wires with large applied bias voltage has
recently attracted great interest by measuring the energy distribution of the
electrons at a given point of the wire, in Saclay. In the diffusive limit with
negligible energy relaxation that shows two sharp steps at the Fermi energies
of the two contacts, which are broadened due to the energy relaxation. In some
of the experiments the broadening is reflecting an anomalous energy relaxation
rate proportional to instead of valid for Coulomb
electron-electron interaction, where is the energy transfer. Later it has
been suggested that such relaxation rate can be due to electron-electron
interaction mediated by Kondo impurities. In the present paper the latter is
systematically studied in the logarithmic approximation valid above the Kondo
temperature. In the case of large applied bias voltage Kondo resonances are
formed at the steps of the distribution function and they are narrowed by
increasing the bias. An additional Korringa energy broadening occurs for the
spins which smears the Kondo resonances, and the renormalized coupling can be
replaced by a smooth but essentially enhanced average coupling (factor of
8-10). Thus the experimental data can be described by formulas without
logarithmic Kondo corrections, but with enhanced coupling. In certain regions
of large bias, that averaged coupling depends weakly on the bias. In those
cases the distribution function depends only on the ratio of the electron
energy and the bias, showing scaling behavior. The impurity concentrations
estimated from those experiments and other dephasing experiments can be very
different, and a possible explanation considering the surface spin anisotropy
due to strong spin-orbit interaction is the subject of our earlier paper.Comment: 12 pages, RevTex
CALIBRATION OF SIMS MEASUREMENTS BY ION IMPLANTATION
The paper reviews some joint results of the above institutions in quantitative SIMS
(Secondary Ion Mass Spectrometry) analysis of implanted dopants. Quantification of the SIMS
was achieved by implanting marker ions as standards prior to analysis. Feasibility of this
technique was first demonstrated by Giber et al. (1982). Further considerations will be presented
SU(N) quantum spin models: A variational wavefunction study
The study of SU(N) quantum spin models is relevant to a variety of physical
systems including ultracold atoms in optical lattices, and also leads to
insights into novel quantum phases and phase transitions of SU(2) spin models.
We use Gutzwiller projected fermionic variational wavefunctions to explore the
phase diagram and correlation functions of SU(N) spin models in the
self-conjugate representation, with Heisenberg bilinear and biquadratic
interactions. In 1D, the variational phase diagram of the SU(4) spin chain is
constructed by examining instabilities of the Gutzwiller projected free fermion
ground state to various broken symmetries, and it agrees well with exact
results.The spin and dimer correlations of the Gutzwiller projected free
fermion state with N flavors of fermions are also in good agreement with exact
and 1/N calculations for the critical points of SU(N) spin chains. In 2D, the
variational phase diagram on the square lattice is obtained by studying
instabilities of the Gutzwiller projected pi-flux state. The variational ground
state of the pure Heisenberg model is found to exhibit long range Neel order
for N=2,4 and spin Peierls order for N > 4. For N=4 and 6, biquadratic
interactions lead to a complex phase diagram which includes an extended valence
bond crystal in both cases, as well as a stable pi-flux phase for N=6. The spin
correlations of the projected pi-flux state at N=4 are in good agreement with
1/N calculations. We find that this state also shows strongly enhanced dimer
correlations, in qualitative accord with the large-N results. We compare our
results with a recent QMC study of the SU(4) Heisenberg model.Comment: 22 pages, 7 figs, added references to arxiv versio
Scaling limit of the one-dimensional attractive Hubbard model: The non-half-filled band case
The scaling limit of the less than half filled attractive Hubbard chain is
studied. This is a continuum limit in which the particle number per lattice
site, n, is kept finite (0<n<1) while adjusting the interaction and bandwidth
in a such way that there is a finite mass gap. We construct this limit both for
the spectrum and the secular equations describing the excitations. We find,
that similarly to the half filled case, the limiting model has a massive and a
massless sector. The structure of the massive sector is closely analogous to
that of the half filled band and consequently to the chiral invariant SU(2)
Gross-Neveu (CGN) model. The structure of the massless sector differs from that
of the half filled band case: the excitations are of particle and hole type,
however they are not uniquely defined. The energy and the momentum of this
sector exhibits a tower structure corresponding to a conformal field theory
with c=1 and SU(2)xSU(2) symmetry. The energy-momentum spectrum and the zero
temperature free energy of the states with finite density coincides with that
of the half filled case supporting the identification of the limiting model
with the SU(2) symmetric CGN theory.Comment: Latex, 28 page
Nonequilibrium Current in the One Dimensional Hubbard Model at Half-Filling
Nonlinear transport in the one dimensional Hubbard model at half-filling
under a finite bias voltage is investigated by the adaptive time-dependent
density matrix renormalization group method. For repulsive on-site interaction,
dielectric breakdown of the Mott insulating ground state to a current-carrying
nonequilibrium steady state is clearly observed when the voltage exceeds the
charge gap. It is found that by increasing the voltage further the
current-voltage characteristics are scaled only by the charge gap and the
scaling curve exhibits almost linear dependence on the voltage whose slope is
suppressed by the electron correlation. In the case of attractive interaction
the linear conductance is the perfect one which agrees with the
prediction by the Luttinger liquid theory.Comment: 4 pages, 7 figure
The phase diagram of magnetic ladders constructed from a composite-spin model
White's density matrix renormalization group ({DMRG}) method has been applied
to an composite-spin model, which can also be considered as a
two-leg ladder model. By appropriate choices of the coupling constants this
model allows not only to study how the gap is opened around the gapless
integrable models, but also to interpolate continuously between models with
different spin lengths. We have found indications for the existence of several
different massive phases.Comment: 30 pages, 8 Postscript figure
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