Critical behavior of short range Potts glasses |
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Authors: | M Scheucher J D Reger |
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Institution: | (1) Institut für Physik, Universität Mainz, Staudingerweg 7, W-6500 Mainz, Germany;(2) Present address: Systemtechnik Berner & Mattner, Otto-Hahn-Strasse 34, W-8012 München-Ottobrunn, Germany |
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Abstract: | We study by means of Monte Carlo simulations and the numerical transfer matrix technique the critical behavior of the short rangep=3 state Potts glass model in dimensionsd=2,3,4 with both Gaussian and bimodal (±J) nearest neighbor interactions on hypercubic lattices employing finite size scaling ideas. Ind=2 in addition the degeneracy of the glass ground state is computed as a function of the number of Potts states forp=3, 4, 5 and compared to that of the antiferromagnetic ground state. Our data indicate a transition into a glass phase atT=0 ind=2 with an algebraic singularity, aT=0 transition ind=3 with an essential singularity of the form exp(const.T
–2), and an algebraic singularity atT0.25 ind=4. We conclude that the lower critical dimension of the present model isd
c
=3 or very close to it. Some of the critical exponents are estimated and their respective values discussed. |
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