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The two-dimensional electron gas (2DEG) in BaSnO 3 -based heterostructure (HS) has received tremendous attention in the electronic applications because of its excellent electron migration characteristic. We modeled the n-type (LaO) + /(SnO 2 ) 0 interface by depositing LaGaO 3 film on the BaSnO 3 substrate and explored strain effects on the critical thickness for forming 2DEG and electrical properties of LaGaO 3 /BaSnO 3 HS system using first-principles electronic structure calculations. The results indicate that to form 2DEG in the unstrained LaGaO 3 /BaSnO 3 HS system, a minimum thickness of approximately 4 unit cells of LaGaO 3 film is necessary. An increased film thickness of LaGaO 3 is required to form the 2DEG for -3%-biaxially-strained HS system and the critical thickness is 3 unit cells for 3%-baxially-strained HS system, which is caused by the strain-induced change of the electrostatic potential in LaGaO 3 film. In addition, the biaxial strain plays an important role in tailoring the electrical properties of 2DEG in LaGaO 3 /BaSnO 3 HS syestem. The interfacial charge carrier density, electron mobility and electrical conductivity can be optimized when a moderate tensile strain is applied on the BaSnO 3 substrate in the ab-plane., (© 2024. The Author(s).)