Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Letters B

The critical temperature in renormalization group studies of first order phase transitions

Massimo Bernaschi, Luca Biferale, Roberto Petronzio A

Published Feb 1, 1990• 5 citations
Publisher
DOI
10.1016/0370-2693(90)90993-g

Related papers

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

R Gersch, J Reiss, Carsten Honerkamp A

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.

arXiv:cond-mat/0609520•New Journal of Physics•Dec 14, 2006•17 citations

Renormalization-group study of weakly first-order phase transitions

N. Tetradis

arXiv:hep-th/9706088•Physics Letters B•Jul 1, 1998•13 citations

First-order phase transitions and linear renormalization group

Krishnappa Subbarao

The description of first-order phase transitions using the linear renormalization group is illustrated with the two-dimensional Ising model. Different linear renormalization groups should be used to describe the system in the neighborhood of criticality and away from it. In the latter case, the renormalization-group trajectories are lines of constant spin expectation value, which map a system below critical temperature in a small magnetic field to a system of free spins at a finite magnetic field. A finite-lattice approximation is also presented. The equation of state and several thermodynamic quantities are obtained; a smooth matching of the behavior near and away from criticality occurs naturally.

Physical review. B, Solid state•May 1, 1976•12 citations

Monte Carlo renormalization group study of first order phase transitions

Anna Hazenfratz

Nuclear Physics B - Proceedings Supplements•Sep 1, 1987•2 citations

Essential Singularities at First-Order Phase Transitions

W. Klein, D. J. Wallace, Royce K. P. Zia

Renormalization group ideas are applied to the problem of first-order phase transitions in Ising-like models. They support the existence of essential singularities as the coexistence region is approached, at all temperatures below the critical temperature.

Physical Review Letters•Sep 13, 1976•57 citations

Renormalization group and phase transitions

Belal Ehsan Baaquie

Cambridge University Press eBooks•Aug 22, 2018•0 citations
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.
The description of first-order phase transitions using the linear renormalization group is illustrated with the two-dimensional Ising model. Different linear renormalization groups should be used to describe the system in the neighborhood of criticality and away from it. In the latter case, the renormalization-group trajectories are lines of constant spin expectation value, which map a system below critical temperature in a small magnetic field to a system of free spins at a finite magnetic field. A finite-lattice approximation is also presented. The equation of state and several thermodynamic quantities are obtained; a smooth matching of the behavior near and away from criticality occurs naturally.