Ginzburg-Landau-Wilson Aspect of Deconfined Criticality

Anatoly Kuklov, Nikolay Prokof'ev, Boris Svistunov

Published 2005-01-04, updated 2005-04-26Version 2

Monte Carlo study of the deconfined critical action phase diagram reveals a region where spinon deconfinement occurs through a weak first-order phase transition, in agreement with Ginzburg-Landau theory. Wilson renormalization argument in combination with the absence of the data collapse even in the regime of weak interaction between the spinons casts a serious doubt on the possibility of the continuous deconfinement transition. We also argue that if a continuous deconfined criticality does exist on the phase diagram, its nature is analogous, in a certain precise sense, to that of the XY universality class.