44 research outputs found
Computational implementation of the Kubo formula for the static conductance: application to two-dimensional quantum dots
Kubo formula is used to get the d.c conductance of a statistical ensemble of
two-dimensional clusters of the square lattice in the presence of standard
diagonal disorder, a uniform magnetic field and random magnetic fluxes. Working
within a one-band tight-binding approach the calculation is quite general. The
shape of the cluster is rectangular with ideal leads attached to opposite
corners. Both geometrical characteristics and physical parameters can be easily
selected. The output is just the conductance of a system of given parameters or
a statistical ensemble of conductances measured for different disorder
realizations.Comment: 14 pages, one table, no figures, RevTeX styl
Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies
Here we report on several anomalies in quantum transport at the band center
of a bipartite lattice with vacancies that are surely due to its chiral
symmetry, namely: no weak localization effect shows up, and, when leads have a
single channel the transmission is either one or zero. We propose that these
are a consequence of both the chiral symmetry and the large number of states at
the band center. The probability amplitude associated to the eigenstate that
gives unit transmission ressembles a classical trajectory both with or without
vacancies. The large number of states allows to build up trajectories that
elude the blocking vacancies explaining the absence of weak localization.Comment: 5 pages, 5 figure
Effects of Fermi energy, dot size and leads width on weak localization in chaotic quantum dots
Magnetotransport in chaotic quantum dots at low magnetic fields is
investigated by means of a tight binding Hamiltonian on L x L clusters of the
square lattice. Chaoticity is induced by introducing L bulk vacancies. The
dependence of weak localization on the Fermi energy, dot size and leads width
is investigated in detail and the results compared with those of previous
analyses, in particular with random matrix theory predictions. Our results
indicate that the dependence of the critical flux Phi_c on the square root of
the number of open modes, as predicted by random matrix theory, is obscured by
the strong energy dependence of the proportionality constant. Instead, the size
dependence of the critical flux predicted by Efetov and random matrix theory,
namely, Phi_c ~ sqrt{1/L}, is clearly illustrated by the present results. Our
numerical results do also show that the weak localization term significantly
decreases as the leads width W approaches L. However, calculations for W=L
indicate that the weak localization effect does not disappear as L increases.Comment: RevTeX, 8 postscript figures include
Recovery of the persistent current induced by the electron-electron interaction in mesoscopic metallic rings
Persistent currents in mesoscopic metallic rings induced by static magnetic
fields are investigated by means of a Hamiltonian which incorporates diagonal
disorder and the electron-electron interaction through a Hubbard term ().
Correlations are included up to second order perturbation theory which is shown
to work accurately for of the order of the hopping integral. If disorder is
not very strong, interactions increase the current up to near its value for a
clean metal. Averaging over ring lengths eliminates the first Fourier component
of the current and reduces its value, which remains low after interactions are
included.Comment: uuencoded gzipped tar file containing the manuscript (tex file) and
four figures (postscript files). Accepted for publication in Solid State
Communications. Send e-mail to: [email protected]
Finite size effects and localization properties of disordered quantum wires with chiral symmetry
Finite size effects in the localization properties of disordered quantum
wires are analyzed through conductance calculations. Disorder is induced by
introducing vacancies at random positions in the wire and thus preserving the
chiral symmetry. For quasi one-dimensional geometries and low concentration of
vacancies, an exponential decay of the mean conductance with the wire length is
obtained even at the center of the energy band. For wide wires, finite size
effects cause the conductance to decay following a non-pure exponential law. We
propose an analytical formula for the mean conductance that reproduces
accurately the numerical data for both geometries. However, when the
concentration of vacancies increases above a critical value, a transition
towards the suppression of the conductance occurs.
This is a signature of the presence of ultra-localized states trapped in
finite regions of the sample.Comment: 5 figures, revtex
Partially filled stripes in the two dimensional Hubbard model: statics and dynamics
The internal structure of stripes in the two dimensional Hubbard model is
studied by going beyond the Hartree-Fock approximation. Partially filled
stripes, consistent with experimental observations, are stabilized by quantum
fluctuations, included through the Configuration Interaction method. Hopping of
short regions of the stripes in the transverse direction is comparable to the
bare hopping element. The integrated value of compares well
with experimental results.Comment: 4 page
Conductance as a Function of the Temperature in the Double Exchange Model
We have used the Kubo formula to calculate the temperature dependence of the
electrical conductance of the double exchange Hamiltonian. We average the
conductance over an statistical ensemble of clusters, which are obtained by
performing Monte Carlo simulations on the classical spin orientation of the
double exchange Hamiltonian. We find that for electron concentrations bigger
than 0.1, the system is metallic at all temperatures. In particular it is not
observed any change in the temperature dependence of the resistivity near the
magnetical critical temperature. The calculated resistivity near is
around ten times smaller than the experimental value. We conclude that the
double exchange model is not able to explain the metal to insulator transition
which experimentally occurs at temperatures near the magnetic critical
temperature.Comment: 6 pages, 5 figures included in the tex
Mean field approach to antiferromagnetic domains in the doped Hubbard model
We present a restricted path integral approach to the 2D and 3D repulsive
Hubbard model. In this approach the partition function is approximated by
restricting the summation over all states to a (small) subclass which is chosen
such as to well represent the important states. This procedure generalizes mean
field theory and can be systematically improved by including more states or
fluctuations. We analyze in detail the simplest of these approximations which
corresponds to summing over states with local antiferromagnetic (AF) order. If
in the states considered the AF order changes sufficiently little in space and
time, the path integral becomes a finite dimensional integral for which the
saddle point evaluation is exact. This leads to generalized mean field
equations allowing for the possibility of more than one relevant saddle points.
In a big parameter regime (both in temperature and filling), we find that this
integral has {\em two} relevant saddle points, one corresponding to finite AF
order and the other without. These degenerate saddle points describe a phase of
AF ordered fermions coexisting with free, metallic fermions. We argue that this
mixed phase is a simple mean field description of a variety of possible
inhomogeneous states, appropriate on length scales where these states appear
homogeneous. We sketch systematic refinements of this approximation which can
give more detailed descriptions of the system.Comment: 14 pages RevTex, 6 postscript figures included using eps
Scattering phases in quantum dots: an analysis based on lattice models
The properties of scattering phases in quantum dots are analyzed with the
help of lattice models. We first derive the expressions relating the different
scattering phases and the dot Green functions. We analyze in detail the Friedel
sum rule and discuss the deviation of the phase of the transmission amplitude
from the Friedel phase at the zeroes of the transmission. The occurrence of
such zeroes is related to the parity of the isolated dot levels. A statistical
analysis of the isolated dot wave-functions reveals the absence of significant
correlations in the parity for large disorder and the appearance, for weak
disorder, of certain dot states which are strongly coupled to the leads. It is
shown that large differences in the coupling to the leads give rise to an
anomalous charging of the dot levels. A mechanism for the phase lapse observed
experimentally based on this property is discussed and illustrated with model
calculations.Comment: 18 pages, 9 figures. to appear in Physical Review
An Origin of CMR: Competing Phases and Disorder-Induced Insulator-to-Metal Transition in Manganites
We theoretically explore the mechanism of the colossal magnetoresistance in
manganese oxides by explicitly taking into account the phase competition
between the double-exchange ferromagnetism and the charge-ordered insulator. We
find that quenched disorder causes a drastic change of the multicritical phase
diagram by destroying the charge-ordered state selectively. As a result, there
appears a nontrivial phenomenon of the disorder-induced insulator-to-metal
transition in the multicritical regime. On the contrary, the disorder induces a
highly-insulating state above the transition temperature where charge-ordering
fluctuations are much enhanced. The contrasting effects provide an
understanding of the mechanism of the colossal magnetoresistance. The obtained
scenario is discussed in comparison with other theoretical proposals such as
the polaron theory, the Anderson localization, the multicritical-fluctuation
scenario, and the percolation scenario.Comment: 16 pages, 7 figures, submitted to Wandlitz Days on Magnetism:
Local-Moment Ferromagnets: Unique Properties for Modern Application