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

2008/02/29 by Paweł Jakubczyk, P. Jakubczyk, P. Strack +4
Physics and Astronomy · #Advanced Chemical Physics Studies #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el #hep-th

paper · pdf · doi:10.1103/physrevb.77.195120

published as Phys.Rev.B77:195120,2008 · Updated version (as published)

openalex publication_date 2008/05/22 · arxiv created 2008/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the Hertz--Millis theory of quantum phase transitions in itinerant electron systems to phases with broken discrete symmetry. By using a set of coupled flow equations derived within the functional renormalization group framework, we compute the second order phase transition line T_c(\ensuremathδ), where \ensuremathδ is a nonthermal 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.

Citations

• Lectures on Phase Transitions and the Renormalization Group
• Exact evolution equation for the effective potential
• Quantum critical phenomena
• Nonperturbative renormalization-group approach to frustrated magnets
• Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order \∂⁴