Three different vortex glass models are studied by examining the energybarrier against vortex motion across the system. In the two-dimensional gaugeglass this energy barrier is found to increase logarithmically with system sizewhich is interpreted as evidence for a low-temperature phase with zeroresistivity. Associated with the large energy barriers is a breaking ofergodicity which explains why the well established results from equilibriumstudies could fail. The behavior of the more realistic random pinning model ishowever different with decreasing energy barriers a no finite criticaltemperature.
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