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We develop a procedure to determine the portion of exact Hartree-Fockexchange interaction contained in a hybrid density functional to treat therange of electronic correlation governing the physics of a system as a functionof a thermodynamical parameter. This includes systems that depend on physicalparameters accessible to experiment (i.e., temperature, pressure, composition,etc.) or those composed of two or more materials such as heterostructures andinterfaces. This approach is applied to LaMnO$_3$ where for the first time weare able to simulate the high temperature insulator-to-metal transition (IMT)and observe a half-metallic orbital disorder ferromagnetic state using densityfunctional theory. In particular, we show that the softening of the\textit{Q$_2$} Jahn-Teller mode plays a central role in driving the IMT. Thesefindings are likely to motivate the investigation of heterostructures and bulkmaterials that contain a range of electronic correlation in similar materialsystems.

Electronic, structural, and magnetic properties of LaMnO$_3$ phase transition at high temperature