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We investigate the effects of layered quenched disorder on the behavior ofplanar magnets, superfluids, and superconductors by performing large-scaleMonte-Carlo simulations of a three-dimensional randomly layered XY model. Ourdata provide numerical evidence for the recently predicted anomalously elastic(sliding) intermediate phase between the conventional high-temperature andlow-temperature phases. In this intermediate phase, the spin-wave stiffnessperpendicular to the layers vanishes in the thermodynamic limit while thestiffness parallel to the layers as well as the spontaneous magnetization arenonzero. In addition, the susceptibility displays unconventional finite-sizescaling properties. We compare our Monte-Carlo results with the theoreticalpredictions, and we discuss possible experiments in ultracold atomic gases,layered superconductors and in nanostructures.

Anomalous elasticity in a disordered layered XY model