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Punk, Matthias (2016): Finite-temperature scaling close to Ising-nematic quantum critical points in two-dimensional metals. In: Physical Review B, Vol. 94, No. 19, 195113

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We study finite-temperature properties of metals close to an Ising-nematic quantum critical point in two spatial dimensions. In particular we show that at any finite temperature there is a regime where order parameter fluctuations are characterized by a dynamical critical exponent z = 2, in contrast to z = 3 found at zero temperature. Our results are based on a simple Eliashberg-type approach, which gives rise to a boson self-energy proportional to Omega/gamma(T) at small momenta, where gamma(T) is the temperature dependent fermion scattering rate. These findings might shed some light on recent Monte Carlo simulations at finite temperature, where results consistent with z = 2 were found.

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