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Fermionic Renormalization Group Flow at All Scales: Breaking a Discrete Symmetry

AIP Conf. Proc. 846, pp. 236-244; doi:http://dx.doi.org/10.1063/1.2222271 (9 pages)

LECTURES ON THE PHYSICS OF HIGHLY CORRELATED ELECTRON SYSTEMS X: Tenth Training Course in the Physics of Correlated Electron Systems and High Tc Superconductors
Date: 3-14 October 2005
Location: Salerno (Italy)
Roland Gersch1, Carsten Honerkamp2, Daniel Rohe3, and Walter Metzner1

1Max Planck Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
2Institut für Theoretische Physik, Universität Würzburg, Am Hubland, 97074 Würzhurg, Germany
3École Polytechnique, 91128 Palaiseau Cedex, France

We extend the functional renormalization group technique in a modi cation of the one‐particle irreducible scheme to study discrete symmetry breaking at nite temperature. As an instructive example, we employ the technique to access both the symmetric and the symmetry‐broken phase of a charge‐density wave mean‐ eld model. We study the half‐ lled case, and thus the breaking of a discrete symmetry, at nite temperature. A small external symmetry‐breaking eld allows us to access the symmetry‐broken state without encountering any divergence in the o w. We show diagrammatically that our method is equivalent to an exact resummation treatment. We numerically study the dependence of the o w on the external eld and on temperature. © 2006 American Institute of Physics

© 2006 American Institute of Physics

KEYWORDS and PACS

PACS

  • 71.45.Lr

    Charge-density-wave systems

  • 71.10.Fd

    Lattice fermion models (Hubbard model, etc.)

ARTICLE DATA

PUBLICATION DATA

ISSN

0094-243X (print)  
1551-7616 (online)

ISBN:

0-7354-0340-6


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