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Abstract:
We compute the transition temperature T(c) and the Ginzburg temperature T(G) above T(c) near a quantum critical point at the boundary of an ordered phase with a broken discrete symmetry in a two-dimensional metallic electron system. Our calculation is based on a renormalization group analysis of the Hertz action with a scalar order parameter. We provide analytic expressions for T(c) and T(G) as a function of the nonthermal control parameter for the quantum phase transition, including logarithmic corrections. The Ginzburg regime between T(c) and T(G) occupies a sizable part of the phase diagram.