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We investigate two-dimensional frustrated Heisenberg magnets usingnon-perturbative renormalization group techniques. These magnets allow forpoint-like topological defects which are believed to unbind and drive either acrossover or a phase transition which separates a low temperature, spin-wavedominated regime from a high temperature regime where defects are abundant. Ourapproach can account for the crossover qualitatively and both the temperaturedependence of the correlation length as well as a broad but well defined peakin the specific heat are reproduced. We find no signatures of a finitetemperature transition and an accompanying diverging length scale. Our analysisis consistent with a rapid crossover driven by topological defects.

Interplay of topology and geometry in frustrated 2d Heisenberg magnets