The p–n junction i–u characteristic model is decisive for the accuracy enhancement of calibration-free temperature measurement. In this paper, we give a survey of adapted physically-based p–n junction i–u characteristic models, such as the Ebers–Moll2, the Ebers–Moll3, and the Gummel–Poon model. Furthermore, we build new models through polynomial extensions to the fundamental Shockley model. Th...