Experimental thermal resistance evaluation of a three-dimensional (3D) chip stack

To propose an appropriate cooling solution for a three-dimensional (3D) chip stack at the design phase, it is necessary to estimate the total thermal resistance of a 3D chip stack. The interconnection between stacked chips is considered as one of the thermal resistance bottleneck of a 3D chip stack, but it is not experimentally clear yet. We have previously measured the thermal conductivity of SnAg with Cu post to be 37-41W/mC by a steady state thermal resistance measurement method, using the sample which was simply composed of two Si chips and SnAg with Cu post between two Si chips. In this study, 3D stacked test chips are fabricated, which are implemented with PN junction diodes for temperature sensors and diffused resistors for heating, and the thermal conductivity of the interconnection in actual 3D stacked structure is experimentally obtained. The temperature distributions of two 3-layer-stacked-test-chips are measured and the equivalent thermal conductivity of the interconnection is experimentally obtained to be 1.6W/mC. This value is compared with the measured thermal conductivity of SnAg with Cu post (37-41W/mC) and its adequacy is examined.