TU Darmstadt / ULB / TUbiblio

Multicritical behavior in models with two competing order parameters

Eichhorn, Astrid and Mesterházy, David and Scherer, Michael M. (2013):
Multicritical behavior in models with two competing order parameters.
In: Physical Review E, 88 (042141), APS, [Online-Edition: http://link.aps.org/doi/10.1103/PhysRevE.88.042141],
[Article]

Abstract

We employ the nonperturbative functional renormalization group to study models with an O(N_1)⊕O(N_2) symmetry. Here different fixed points exist in three dimensions, corresponding to bicritical and tetracritical behavior induced by the competition of two order parameters. We discuss the critical behavior of the symmetry-enhanced isotropic, the decoupled and the biconical fixed point, and analyze their stability in the (N_1,N_2) plane. We study the fate of nontrivial fixed points during the transition from three to four dimensions, finding evidence for a triviality problem for coupled two-scalar models in high-energy physics. We also point out the possibility of noncanonical critical exponents at semi-Gaussian fixed points and show the emergence of Goldstone modes from discrete symmetries.

Item Type: Article
Erschienen: 2013
Creators: Eichhorn, Astrid and Mesterházy, David and Scherer, Michael M.
Title: Multicritical behavior in models with two competing order parameters
Language: English
Abstract:

We employ the nonperturbative functional renormalization group to study models with an O(N_1)⊕O(N_2) symmetry. Here different fixed points exist in three dimensions, corresponding to bicritical and tetracritical behavior induced by the competition of two order parameters. We discuss the critical behavior of the symmetry-enhanced isotropic, the decoupled and the biconical fixed point, and analyze their stability in the (N_1,N_2) plane. We study the fate of nontrivial fixed points during the transition from three to four dimensions, finding evidence for a triviality problem for coupled two-scalar models in high-energy physics. We also point out the possibility of noncanonical critical exponents at semi-Gaussian fixed points and show the emergence of Goldstone modes from discrete symmetries.

Journal or Publication Title: Physical Review E
Volume: 88
Number: 042141
Publisher: APS
Divisions: 05 Department of Physics > Institute of Nuclear Physics
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik > D4: Strongly Interacting Fermion Systems: Graphene
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC)
05 Department of Physics
Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio)
Date Deposited: 28 Oct 2013 13:27
Official URL: http://link.aps.org/doi/10.1103/PhysRevE.88.042141
Identification Number: doi:10.1103/PhysRevE.88.042141
Export:
Suche nach Titel in: TUfind oder in Google
Send an inquiry Send an inquiry

Options (only for editors)

View Item View Item