65 research outputs found
Optimization of the damped quantum search
The damped quantum search proposed in [A. Mizel, Phys. Rev. Lett., 102 150501
(2009)] was analyzed by calculating the highest possible probability of finding
the target state in each iteration. A new damping parameter that depends on the
number of iterations was obtained, this was compared to the critical damping
parameter for different values of target to database size ratio. The result
shows that the range of the new damping parameter as a function of the target
to database size ratio increases as the number of iterations is increased.
Furthermore, application of the new damping parameter per iteration on the
damped quantum search scheme shows a significant improvement on some target to
database size ratio (i.e. greater than or equal to 50% maximum percentage
difference) over the critically damped quantum search
Transport properties near the Anderson transition
The electronic transport properties in the presence of a temperature gradient
in disordered systems near the metal-insulator transition [MIT] are considered.
The d.c. conductivity , the thermoelectric power , the thermal
conductivity and the Lorenz number are calculated for the
three-dimensional Anderson model of localization using the
Chester-Thellung-Kubo-Greenwood formulation of linear response. We show that
, S, K and can be scaled to one-parameter scaling curves with a
single scaling paramter .Comment: 4 pages, 4 EPS figures, uses annalen.cls style [included]; presented
at Localization 1999, to appear in Annalen der Physik [supplement
Thermoelectric Transport Properties in Disordered Systems Near the Anderson Transition
We study the thermoelectric transport properties in the three-dimensional
Anderson model of localization near the metal-insulator transition [MIT]. In
particular, we investigate the dependence of the thermoelectric power S, the
thermal conductivity K, and the Lorenz number L_0 on temperature T. We first
calculate the T dependence of the chemical potential from the number density of
electrons at the MIT using averaged density of state obtained by
diagonalization. Without any additional approximation, we determine from the
chemical potential the behavior of S, K and L_0 at low T as the MIT is
approached. We find that the d.c. conductivity and K decrease to zero at the
MIT as T -> 0 and show that S does not diverge. Both S and L_0 become
temperature independent at the MIT and depend only on the critical behavior of
the conductivity.Comment: 11 pages, 10 eps figures, coded with the EPJ macro package, submitted
to EPJ
Optimizing thermal transport in the Falicov-Kimball model: binary-alloy picture
We analyze the thermal transport properties of the Falicov-Kimball model
concentrating on locating regions of parameter space where the thermoelectric
figure-of-merit ZT is large. We focus on high temperature for power generation
applications and low temperature for cooling applications. We constrain the
static particles (ions) to have a fixed concentration, and vary the conduction
electron concentration as in the binary-alloy picture of the Falicov-Kimball
model. We find a large region of parameter space with ZT>1 at high temperature
and we find a small region of parameter space with ZT>1 at low temperature for
correlated systems, but we believe inclusion of the lattice thermal
conductivity will greatly reduce the low-temperature figure-of-merit.Comment: 13 pages, 14 figures, typeset with ReVTe
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