Monte Carlo simulations show the superconductor-to-normal transition in U(1)^N lattice London models is discontinuous for N up to 7, with discontinuity strength non-monotonic in N, and the neutral superfluid transition is also first-order for N=3 and N=4.
Ginzburg-Landau-Wilson Aspect of Deconfined Criticality
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abstract
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.
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Phase transitions and composite order in $\mathrm{U}(1)^N$ lattice London models
Monte Carlo simulations show the superconductor-to-normal transition in U(1)^N lattice London models is discontinuous for N up to 7, with discontinuity strength non-monotonic in N, and the neutral superfluid transition is also first-order for N=3 and N=4.