Critical dynamics at incommensurate phase transitions and NMR relaxation experiments

Details Critical dynamics at incommensurate phase transitions and NMR relaxation experiments Critical dynamics at incommensurate phase transitions and NMR relaxation experiments

1998-11-12

arxiv.org/abs/cond-mat/9811167v1

Phys. Rev. B 59 (1999) 11226

Physics

Condensed Matter

Statistical Mechanics

21 pages, revtex, 17 figures included (16 as .ps files)

Scientific paper

10.1103/PhysRevB.59.11226

We study the critical dynamics of crystals which undergo a second-order phase transition from a high-temperature normal phase to a structurally incommensurate (IC) modulated phase. We give a comprehensive description of the critical dynamics of such systems, e.g. valid for crystals of the A_2BX_4 family. Using an extended renormalization scheme, we present a framework in which we analyze the phases above and below the critical temperature T_I. Above T_I, the crossover from the critical behavior to the mean-field regime is studied. Specifically, the resulting width of the critical region is investigated. In the IC modulated phase, we consider explicitly the coupling of the order parameter modes to one-loop order. Here the Goldstone anomalies and their effect on measurable quantities are investigated. We show their relation with the postulated phason gap. While the theory can be applied to a variety of experiments, we concentrate on quadrupole-perturbed nuclear magnetic resonance (NMR) experiments. We find excellent agreement with these dynamical measurements and provide answers for some questions that arose from recent results.

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