Fermionic functional renormalization group for first-order phase transitions: a mean-field model
arXiv:cond-mat/0609520 · doi:10.1088/1367-2630/8/12/320
Abstract
First-order phase transitions in many-fermion systems are not detected in the susceptibility analysis of common renormalization-group (RG) approaches. Here we introduce a counterterm technique within the functional renormalization-group (fRG) formalism which allows access to all stable and metastable configurations. It becomes possible to study symmetry-broken states which occur through first-order transitions as well as hysteresis phenomena. For continuous transitions, the standard results are reproduced. As an example, we study discrete-symmetry breaking in a mean-field model for a commensurate charge-density wave. An additional benefit of the approach is that away from the critical temperature for the breaking of discrete symmetries large interactions can be avoided at all RG scales.
17 pages, 8 figures. v2 corrects typos, adds references and a discussion of the literature
References in corpus (4)
- Exact evolution equation for the effective potential
- Interaction flow method for many-fermion systems
- Collective fields in the functional renormalization group for fermions, Ward identities, and the exact solution of the Tomonaga-Luttinger model
- Renormalization group approach to interacting fermion systems in the two-particle-irreducible formalism
Cited by in corpus (10)
- Renormalization group flow for fermionic superfluids at zero temperature
- Superconductivity in the attractive Hubbard model: functional renormalization group analysis
- Rashba spin-orbit coupling in the square lattice Hubbard model: A truncated-unity functional renormalization group study
- The kagome Hubbard model from a functional renormalization group perspective
- Functional renormalization group for fermion lattice models in three dimensions: application to the Hubbard model on the cubic lattice
- Functional renormalization group for commensurate antiferromagnets: Beyond the mean-field picture
- Neel order in the Hubbard model within spin-charge rotating reference frame approach: crossover from weak to strong coupling
- Ferromagnetic instability in itinerant fcc lattice electron systems with higher order van Hove singularities: Functional renormalization group study
- Renormalization group flow for fermions into antiferromagnetically ordered phases: Method and mean-field models
- Interaction induced local moments in parallel quantum dots within the functional renormalization group approach