88,045 research outputs found
Magnetic quantum phase transitions of the antiferromagnetic J_{1}-J_{2} Heisenberg model
We obtain the complete phase diagram of the antiferromagnetic -
model, , within the framework of the
nonlinear sigma model. We find two magnetically ordered phases, one with N\'
eel order, for , and another with collinear order, for
, separated by a nonmagnetic region, for , where a gapped spin liquid is found. The transition at is of
the second order while the one at is of the first order and the
spin gaps cross at . Our results are exact at
and agree with numerical results from different methods.Comment: 4 pages, 5 figure
Exclusive glueball production in high energy nucleus-nucleus collisions
The cross sections for the glueball candidates production in quasi-real
photon-photon collisions and on central diffraction processes, i.e. double
Pomeron exchange, in heavy ion interactions at RHIC and LHC are computed. The
rates for these distinct production channels are compared and they may be a
fruitful approach to the investigation of glueballs.Comment: 6 pages, 2 tables. Final version to be published in Physical Review
Information entropy of classical versus explosive percolation
We study the Shannon entropy of the cluster size distribution in classical as
well as explosive percolation, in order to estimate the uncertainty in the
sizes of randomly chosen clusters. At the critical point the cluster size
distribution is a power-law, i.e. there are clusters of all sizes, so one
expects the information entropy to attain a maximum. As expected, our results
show that the entropy attains a maximum at this point for classical
percolation. Surprisingly, for explosive percolation the maximum entropy does
not match the critical point. Moreover, we show that it is possible determine
the critical point without using the conventional order parameter, just
analysing the entropy's derivatives.Comment: 6 pages, 6 figure
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