0:00:20after a whole inverting merman
0:00:21it is known that there cannot be any sharp phase transition in the one we
0:00:26system
0:00:27then an interesting question is there
0:00:29what should be the behavior of an array of aligned in weakly coupled superconducting data
0:00:35layers
0:00:39example of such a system is the five zero carbon yellow to me if i
0:00:46possibly one d bundle can be obtained by the interaction between the nearest carbon being
0:00:51able to
0:00:57here is schematic view of the experimental sample the af i acted as the backbone
0:01:03of the c n t
0:01:04in our theoretical model
0:01:06the c n t combined to be an aligner bundle and then the downloads connected
0:01:12to beginning or made by the we josephs in coupling
0:01:16the monte carlo simulation was based on the jeans burned land on model will algorithm
0:01:22was used to because of the weakness of the josephs and coupling between the bundles
0:01:29we first discuss the specific you
0:01:35since the josephs an interaction is weak amplitude of the wave function is determined mainly
0:01:41by the coupling inside the bundle
0:01:43we have
0:01:44in each simulation
0:01:46only a single done belonging to be considered
0:01:55in the figure
0:01:56the specific universes temperature under different magnetic field we shown
0:02:01as reference
0:02:02experimental result was also presented
0:02:08because of the josephs and coupling between the bundles is weak
0:02:12in the phase order simulation
0:02:14we fix the amplitude of each bundle which was obtained in the specific you simulation
0:02:26the phase order was calculated by the presented formula
0:02:30the results under different magnetic field is shown in the figure
0:02:34it can be seen that the transfer temperature t c is question by the magnetic
0:02:39field
0:02:40this is agree with the experimental results
0:02:43from the figure
0:02:44we can also see that although the interaction between them down the list is weak
0:02:50it plays an important role in the phase transition
0:02:55this is the correlation function in xy plane under different temperature
0:03:01it can be seen that
0:03:02above tc correlation length decays exponentially but below tc decays according to what power low
0:03:13this is the exact peak at transition feature
0:03:20to verify the results
0:03:22for the temperature around three
0:03:24we don't a numerical fitting of correlation length versus t c
0:03:32the appearance of coherence in the transverse plane should have a crunching affect on the
0:03:37phase fluctuations along the z axis
0:03:40as shown in figure
0:03:42it is indeed happen twenty below the transfer temperature given the coupling between the bundles
0:03:48is very weak
0:03:52from
0:03:52conclusion can be obtained is that
0:03:55the system have transferred from the one d the three d
0:04:01in summary
0:04:02we shown in this paper that for the quasi one d system specific you is
0:04:07mainly determined by the closet one d character but the transverse coupling between the bundles
0:04:13plays an important role in the phase order by which
0:04:18one d the three d crossover transition can happen