after a whole inverting merman
it is known that there cannot be any sharp phase transition in the one we
system
then an interesting question is there
what should be the behavior of an array of aligned in weakly coupled superconducting data
layers
example of such a system is the five zero carbon yellow to me if i
possibly one d bundle can be obtained by the interaction between the nearest carbon being
able to
here is schematic view of the experimental sample the af i acted as the backbone
of the c n t
in our theoretical model
the c n t combined to be an aligner bundle and then the downloads connected
to beginning or made by the we josephs in coupling
the monte carlo simulation was based on the jeans burned land on model will algorithm
was used to because of the weakness of the josephs and coupling between the bundles
we first discuss the specific you
since the josephs an interaction is weak amplitude of the wave function is determined mainly
by the coupling inside the bundle
we have
in each simulation
only a single done belonging to be considered
in the figure
the specific universes temperature under different magnetic field we shown
as reference
experimental result was also presented
because of the josephs and coupling between the bundles is weak
in the phase order simulation
we fix the amplitude of each bundle which was obtained in the specific you simulation
the phase order was calculated by the presented formula
the results under different magnetic field is shown in the figure
it can be seen that the transfer temperature t c is question by the magnetic
field
this is agree with the experimental results
from the figure
we can also see that although the interaction between them down the list is weak
it plays an important role in the phase transition
this is the correlation function in xy plane under different temperature
it can be seen that
above tc correlation length decays exponentially but below tc decays according to what power low
this is the exact peak at transition feature
to verify the results
for the temperature around three
we don't a numerical fitting of correlation length versus t c
the appearance of coherence in the transverse plane should have a crunching affect on the
phase fluctuations along the z axis
as shown in figure
it is indeed happen twenty below the transfer temperature given the coupling between the bundles
is very weak
from
conclusion can be obtained is that
the system have transferred from the one d the three d
in summary
we shown in this paper that for the quasi one d system specific you is
mainly determined by the closet one d character but the transverse coupling between the bundles
plays an important role in the phase order by which
one d the three d crossover transition can happen