Finite temperature crossovers near quantum tricritical points in metals

We present a renormalization group treatment of quantum tricriticality in metals. Applying a set of flow equations derived within the functional renormalization group framework we evaluate the correlation length in the quantum critical region of the phase diagram, extending into finite temperatures above the quantum critical or tricritical point. We calculate the finite temperature phase boundaries and analyze the crossover behavior when the system is tuned between quantum criticality and quantum tricriticality.