Abstract
The controversial 2-d, 3-state chiral Potts model is studied using transfer matrix finite size scaling. at Δ=0, we find dq N/dΔ∝N −4/5, whereq is the “wavevector”, Δ the chiral field, andN the strip width (N=4−10). The result is consistent with den Nijs's crossover exponent ϕ=1/6. With surface fields on the infinite free boundaries, exponents associated with bulk magnetizationy H, surface magnetizationy′ H, and surface susceptibility χ are computed vs. Δ; results are similar for\(\hat \Delta\) ‖ or ⊥ to the infinite direction. Preliminary results are given for the bulk specific heat critical amplitudes, to test the universality of amplitude ratios. The interface wetting line is located for 0≦Δ≦1/4 using simple transfer matrix calculations of surface tensions in the solid-on-solid approximation. Overhangs or bubbles seem relatively unimportant at all temperatures.
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Stella, A.L., Xie, X.C., Einstein, T.L. et al. Wavevector scaling, surface critical behavior, and wetting in the 2-d, 3-state chiral clock model. Z. Physik B - Condensed Matter 67, 357–361 (1987). https://doi.org/10.1007/BF01307260
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DOI: https://doi.org/10.1007/BF01307260