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Low-temperature resistance noise spectroscopy as a probe of the superconducting transition in underdoped La2-xSrxCuO4

We report the resistance noise spectroscopy technique and its applications in detecting the nature of high- temperature superconducting transition in cuprates. In underdoped La2-xSrxCuO4 thick films, in which inter- layer coupling is relatively weak and thus the system is effectively two-dimensional, resistance noise spectroscopy shows the first experimental evidence of intrinsic correlated dynamics near the superconducting transition of the Berezinskii-Kosterlitz-Thouless type. In particular, resistance fluctuations in the low-temperature ordered phase are correlated, slow and nonergodic, i.e., the system exhibits properties that cannot be fully detected in any reasonable experimental time frame.