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• W2082804904 abstract "Simple symmetry considerations would suggest that the transition from the smectic-A phase to the long-range bond orientationally ordered hexatic smectic-B phase should belong to the XY universality class. However, a number of experimental studies have constantly reported over the past twenty years novel critical behavior with non-XY critical exponents for this transition. Bruinsma and Aeppli argued in Physical Review Letters {bf 48}, 1625 (1982), using a $4-epsilon$ renormalization-group calculation, that short-range molecular herringbone correlations coupled to the hexatic ordering drive this transition first order via thermal fluctuations, and that the critical behavior observed in real systems is controlled by a `nearby' tricritical point. We have revisited the model of Bruinsma and Aeppli and present here the results of our study. We have found two nontrivial strongly-coupled herringbone-hexatic fixed points apparently missed by those authors. Yet, those two new nontrivial fixed-points are unstable, and we obtain the same final conclusion as the one reached by Bruinsma and Aeppli, namely that of a fluctuation-driven first order transition. We also discuss the effect of local two-fold distortion of the bond order as a possible missing order parameter in the Hamiltonian." @default.
• W2082804904 created "2016-06-24" @default.
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• W2082804904 date "2003-10-03" @default.
• W2082804904 modified "2023-09-23" @default.
• W2082804904 title "Hexatic-herringbone coupling at the hexatic transition in smectic liquid crystals:<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mn>4</mml:mn><mml:mo>−</mml:mo><mml:mi>ε</mml:mi></mml:math>renormalization group calculations revisited" @default.
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• W2082804904 doi "https://doi.org/10.1103/physreve.68.041701" @default.
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