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Critical Properties of the Two Dimensional Villain Model with Ferromagnetic Impurities

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Figure

Figure 1. The ground-state entropy for Villain model, fitting Equation (5) with quality of the line fit Q = , gradient 1β = −0.128 and different lattice sizes L
Figure 3. The ground-state entropy for p =0.012, fitting Equation (5) with quality of the line fit Q =0.88, gradient β = −0.069, L =16 - 32 and quality of the line fit Q =0.98, gradient β =0.0, L =48 -128
Figure 6. The ground-state entropy for p =0.015, fitting Equation (5) with quality of the line fit Q =0.81, gradient β = −0.047, L =16 - 32 and quality of the line fit Q =0.91, gradient β =0.041, L =48 -128
Figure 7. The ground-state entropy for p =0.5, fitting Equation (5) with quality of the line fit Q =0.84, gradient β =0.133 and different lattice sizes L

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