Tensionless structure of a glassy phase
A. Lipowski1 , D. Johnston2
1 Department of Physics, A. Mickiewicz University, 61-614 Poznań, Poland
2 Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
Phys. Rev. E, 65, 017103 – 1-4 (2002)
We study a class of homogeneous finite-dimensional Ising models which were recently shown to exhibit glassy properties. Monte Carlo simulations of a particular three-dimensional model in this class show that the glassy phase obtained under slow cooling is dominated by large-scale excitations whose energy El scales with their size l as El ~ lΘ with Θ ~ 1.33(20). Simulations suggest that in another model of this class, namely the four-spin model, energy is concentrated mainly in linear defects, making the domain walls tensionless in this case also. Two-dimensional variants of these models are trivial and most likely the energy of excitations scales with the exponent Θ=1.