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Recent experiments on two iron-pnictide families suggest the existence of asingle quantum phase transition (QPT) inside the superconducting dome despitethe fact that two separate transition lines - magnetic and nematic - cross thesuperconducting dome at $T_{c}$. Here we argue that these two observations areactually consistent. We show, using a microscopic model, that each ordercoexists with superconductivity for a wide range of parameters, and bothtransition lines continue into the superconducting dome below $T_{c}$. However,at some $T_{\mathrm{merge}}<T_{c}$, the two transitions merge and continue downto T=0 as a single simultaneous first-order nematic/magnetic transition. Weshow that superconductivity has a profound effect on the character of thisfirst-order transition, rendering it weakly first-order and allowing strongfluctuations to exist near the QPT.

How many quantum phase transitions exist inside the superconducting dome of the iron pnictides?