“…In addition, it is easy to notice the shrinking and tilting of the P – E loops. This type of P – E loops are commonly observed in CBNO materials ,− and can be attributed to the effect of a space charge layer. − Figure shows a good fitting of the leakage current density-electric voltage curve ( J – V curve) of the CBNO film to a modified Schottky contact model. , The space-charge density ( N eff ) of the film can be estimated from the fitted J – V curve using the formula ln ( J ) = b ( V + V bi * ) 1/4 , where b is the fitted slope and , Here V bi * is the built-in interface potential related to the height of the interface energy barrier between the CBNO film and the electrode layer, and the value of V bi * is about 0.5 V. q is the electron charge, k is the Boltzmann constant, and T the temperature in Kelvin ( T = 298 K is used for room temperature). ε 0 , ε dy , and ε r are the vacuum permittivity, dynamic, and static dielectric constants of the CBNO film, respectively.…”