Localization of electrons in the two-dimensional electron gas at the LaAlO) [10] and fabrication of millions of transistors on a single chip [11] have highlighted the importance of these oxide interfaces both from fundamental and applied perspectives. The 2DEG is thought to result from an electron transfer to the interface between the polar oxide (LaAlO 3 ) and the nonpolar oxide (SrTiO 3 ), which is necessary to avoid a divergence of the energy associated with the electric field [12]. A charge transfer of 0.5 electron per interface unit cell (uc) or 3.310 14 cm -2 should be required to compensate the electric field in polar LaAlO 3 and avert the polar catastrophe [12].However, a major puzzle is that the experimentally-observed carrier densities at low temperatures for the 2DEG in fully oxidized samples [3,5,13] are an order of magnitude lower than expected.Furthermore, it is unclear where exactly at the interface the conduction electrons are located, since the LaAlO 3 is usually grown on a SrTiO 3 substrate. One proposed explanation is that these 'disappearing' electrons are localized within the first SrTiO 3 layers that are closest to the interface, where Ti 3d xy sub-bands have lower energy than the other Ti 3d orbitals [14][15][16]. According to the theoretical calculations, the mobile electrons responsible for the transport properties of the 2DEG are farther away (≥ 4 uc) from the interface [15]. While experimental results [12,[17][18][19] The results on temperature-dependent sheet resistance (R S -T) are shown in Fig , an upturn of sheet resistance invariably occurs below a temperature T min (where R S is minimum). This upturn in R S -T has been also reported at the LaAlO 3 /SrTiO 3 interfaces grown on other substrates [21,23,24], and it depends on the stoichiometry of the LaAlO 3 [30]. Reducing the thickness of the SrTiO 3 layer raises T min and R S at the same time. For the samples with 3, 4, and 6 uc SrTiO 3 layers, the R S at 2 K is far above the quantum of resistance (12.9 k, including spin degeneracy). The R S -T curves for these samples diverge as the temperature is decreased, and they can be well fitted to R S exp[(T 0 /T) The temperature dependence of sheet carrier density (n S ) and mobility (μ H ) are plotted in Fig. 2 , which corresponds to 0.5 electrons per unit cell at the interface . It can be argued that the reason for the temperature independence is the clamping effect of the NdGaO 3 substrate, which prevents the SrTiO 3 layer from undergoing the structural transitions that occur at low temperatures [5,38], thus avoiding the strong localization of carriers at low temperatures, which is widely observed in the 2DEG on SrTiO 3 substrates. This result supports the view that the SrTiO 3 phase transitions are important for determining the low temperature 2DEG properties, carrier localization in particular [39]. Also the absence of temperature dependence in mobility when the free carrier concentration is high suggests that electron-electron scattering is dominant. The main point here is t...