Direction-Dependent Free Energy Singularity of the Antiferroelectric Asymmetric Six-Vertex Model |
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Authors: | Giuseppe Albertini |
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Affiliation: | (1) Physics Department, Milan University, 20133 Milan, Italy; |
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Abstract: | The transition from the ordered commensurate phase to the incommensurate Gaussian phase of the antiferroelectric asymmetric six-vertex model is investigated by keeping the temperature constant below the roughening point and varying the external fields (h, v). In the (h, v) plane, the phase boundary is approached along straight lines v = k h, where (h, v) measures the displacement from the phase boundary. It is found that the free energy singularity displays the exponent 3/2 typical of the Pokrovski–Talapov transition f const(h)3/2 for any direction other than the tangential one. In the latter case f shows a discontinuity in the third derivative. |
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Keywords: | Vertex model Bethe ansatz Pokrovski– Talapov phase transition free energy singularity |
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