The critical behavior below the second-order transition between the normal and the incommensurate phase of ${\mathrm{Rb}}_{2}$${\mathrm{ZnCl}}_{4}$ is studied by means of quadrupolar perturbed NMR. The temperature dependences of the $^{87}\mathrm{Rb}$ m=\ifmmode\pm\else\textpm\fi{}1/2\ensuremath{\leftrightarrows}\ifmmode\pm\else\textpm\fi{}(3/2 satellite transitions are investigated for different Rb nuclei and different crystal orientations. It is shown that the critical exponents \ensuremath{\beta} and \ensuremath{\beta}\ifmmode\bar\else\textasciimacron\fi{}=2-\ensuremath{\alpha}-\ensuremath{\varphi}\ensuremath{\ne}2\ensuremath{\beta}, \ensuremath{\varphi} being the crossover exponent associated with an uniaxial perturbation, can be determined accurately. The value \ensuremath{\beta}=0.35\ifmmode\pm\else\textpm\fi{}0.01 and \ensuremath{\beta}\ifmmode\bar\else\textasciimacron\fi{}=0.83\ifmmode\pm\else\textpm\fi{}0.03 obtained are in agreement with the theoretical predictions of the three-dimensional XY model.
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