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In classical XY kagome antiferromagnets, there can be a novel low temperaturephase where $\psi^3=e^{i3\theta}$ has quasi-long-range order but $\psi$ isdisordered, as well as more conventional antiferromagnetic phases where $\psi$is ordered in various possible patterns ($\theta$ is the angle of orientationof the spin). To investigate when these phases exist in a physical system, westudy superconducting kagome wire networks in a transverse magnetic field whenthe magnetic flux through an elementary triangle is a half of a flux quantum.Within Ginzburg-Landau theory, we calculate the helicity moduli of each phaseto estimate the Kosterlitz-Thouless (KT) transition temperatures. Then at theKT temperatures, we estimate the barriers to move vortices and effects thatlift the large degeneracy in the possible $\psi$ patterns. The effects we haveconsidered are inductive couplings, non-zero wire width, and theorder-by-disorder effect due to thermal fluctuations. The first two effectsprefer $q=0$ patterns while the last one selects a $\sqrt{3}\times\sqrt{3}$pattern of supercurrents. Using the parameters of recent experiments, weconclude that at the KT temperature, the non-zero wire width effect dominates,which stabilizes a conventional superconducting phase with a $q=0$ currentpattern. However, by adjusting the experimental parameters, for example bybending the wires a little, it appears that the novel $\psi^3$ superconductingphase can instead be stabilized. The barriers to vortex motion are low enoughthat the system can equilibrate into this phase.Comment: 30 pages including figure

physical review. b, condensed matter

Superconducting phase with fractional vortices in the frustrated<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>kagom</mml:mi><mml:mi>é</mml:mi></mml:math>wire network at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>

Superconducting phase with fractional vortices in the frustratedkagoméwire network atf=1/2