Renormalization group for phases with broken discrete symmetry near quantum critical points

Details Renormalization group for phases with broken discrete symmetry near quantum critical points Renormalization group for phases with broken discrete symmetry near quantum critical points

2008-02-13

arxiv.org/abs/0802.1868v2

Phys.Rev.B77:195120,2008

Physics

Condensed Matter

Strongly Correlated Electrons

Updated version (as published)

Scientific paper

10.1103/PhysRevB.77.195120

We extend the Hertz-Millis theory of quantum phase transitions in itinerant electron systems to phases with broken discrete symmetry. Using a set of coupled flow equations derived within the functional renormalization group framework, we compute the second order phase transition line T_c(delta), with delta a non-thermal control parameter, near a quantum critical point. We analyze the interplay and relative importance of quantum and classical fluctuations at different energy scales, and we compare the Ginzburg temperature T_G to the transition temperature T_c, the latter being associated with a non-Gaussian fixed-point.

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