New universality class in three dimensions? The antiferromagnetic RP^(2) model
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1996
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Elsevier Science BV
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Abstract
We present the results of a Monte Carlo simulation of the RP^(2) model in three dimensions with negative coupling. We observe a second order phase transition between the disordered phase and an antiferromagnetic, unfrustrated, ordered one. We measure, with a finite size scaling analysis, the thermal exponent, obtaining v = 0.784(g). We have found two magnetic-type relevant operators whose related YJ exponents are 0.038( 2) and 1.338( 8) respectively.
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© 1996 Elsevier Science B.V. We thank Alan Sokal for many enlightening discussions at the beginning of this work, specially regarding the finite size scaling techniques. We are also indebted to José Luis Alonso, Juan Jesús Ruiz-Lorenzo and Alfonso Tarancón. This work has been partially supported by CICyT AEN93-0604, AEN95-1284-E and AEN93-0776.