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Critical temperature and Ginzburg region near a quantum critical point in two-dimensional metals

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Bauer,  J.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Metzner,  W.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

Bauer, J., Jakubczyk, P., & Metzner, W. (2011). Critical temperature and Ginzburg region near a quantum critical point in two-dimensional metals. Physical Review B, 84(7): 075122.


Cite as: https://hdl.handle.net/21.11116/0000-000E-C053-B
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.