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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Fermionic functional renormalization-group for first-order phase transitions: a mean-field model

R Gersch1,3, J Reiss1 and C Honerkamp2

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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.


PACS

05.10.Cc Renormalization group methods

05.70.Fh Phase transitions: general studies

05.30.Fk Fermion systems and electron gas

Subjects

Quantum gases, liquids and solids

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 12 (December 2006)

Received 21 September 2006

Published 14 December 2006



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