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We study the quasi-two-dimensional quantum O(2) model, a quantumgeneralization of the Lawrence-Doniach model, within the nonperturbativerenormalization-group approach and propose a generic phase diagram for layeredthree-dimensional systems with an O(2)-symmetric order parameter. Below thetransition temperature we identify a wide region of the phase diagram where therenormalization-group flow is quasi-two-dimensional for length scales smallerthan a Josephson length $l_J$, leading to signatures of Kosterlitz-Thoulessphysics in the temperature dependence of physical observables. In particularthe order parameter varies as a power law of the interplane coupling with anexponent which depends on the anomalous dimension (itself related to thestiffness) of the strictly two-dimensional low-temperature Kosterlitz-Thoulessphase.

Kosterlitz-Thouless signatures in the low-temperature phase of layered three-dimensional systems