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The authors examine the free energy and specific heat of fermions interacting with gapless bosons at a quantum critical point in a metal. Employing the Luttinger-Ward formula, they find that the total specific heat of the normal state is the sum of contributions from free fermions and critical bosons with a fully dressed propagator. They investigate several typical quantum critical points and confirm the thermal stability of the normal state for each case.
Zhang et al. (Mon,) studied this question.