Correlated Non-Gaussian phase fluctuations in LaAlO$_3$/SrTiO$_3$   heterointerface
  We probe the existence of large correlated non-Gaussian phase fluctuations in the vicinity of the superconducting phase transition in the conducting layer residing at the interface of LaAlO$_3$/SrTiO$_3$ heterostructures. The non-Gaussian fluctuations appear between the Berezinskii-Kosterlitz-Thouless transition temperature $T_{BKT}$ and the mean field transition temperature $T_C$. Subsequent theoretical analysis reveals that non-Gaussianity arises predominantly due to the percolative transition of a Josephson coupled network of superconductors. Our results confirm that the superconductivity in this system is confined to two-dimensions. Our study of the non-Gaussian resistance fluctuation spectrum provides a novel means to explore the BKT-transition in two-dimensional inhomogeneous superconductors. 
Gopi Nath Daptary, Shelender Kumar, Pramod Kumar, Anjana Dogra, N.   Mohanta, A. Taraphder, Aveek Bid
cond-mat.supr-con