604 citations · 3.5k across the 74 of their papers we have counts for
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Convergence of the conformal Ward identity in the derivative expansion approximation
Jorge Ibañez, Matthieu Tissier, Gonzalo De Polsi
Conformal invariance is expected to be an emergent property of many systems in their critical regime. However, approximation schemes generically spoil this property. This is in par…
Supersymmetry Without Time-Reversal Invariance in Model A: A FRG perspective
Sankarshan Sahu, Bertrand Delamotte, Adam Rançon +1
We show that, contrary to common belief, supersymmetry alone is not sufficient in Model A dynamics to ensure relaxation toward a stationary state satisfying time-reversal invarianc…
Conformal invariance and composite operators: A strategy for improving the derivative expansion of the nonperturbative renormalization group
Bertrand Delamotte, Gonzalo De Polsi, Matthieu Tissier +1
It is expected that conformal symmetry is an emergent property of many systems at their critical point. This imposes strong constraints on the critical behavior of a given system.…
Dense polar active fluids in a disordered environment
Riccardo Ben Alì Zinati, Marc Besse, Gilles Tarjus +1
We examine the influence of quenched disorder on the flocking transition of dense polar active matter. We consider incompressible systems of active particles with aligning interact…
The nonperturbative functional renormalization group and its applications
N. Dupuis, L. Canet, A. Eichhorn +4
The renormalization group plays an essential role in many areas of physics, both conceptually and as a practical tool to determine the long-distance low-energy properties of many s…
Conformal invariance in the nonperturbative renormalization group: a rationale for choosing the regulator
Ivan Balog, Gonzalo De Polsi, Matthieu Tissier +1
Field-theoretical calculations performed in an approximation scheme often present a spurious dependence of physical quantities on some unphysical parameters associated with the det…
Precision calculation of critical exponents in the universality classes with the nonperturbative renormalization group
Gonzalo De Polsi, Ivan Balog, Matthieu Tissier +1
We compute the critical exponents , and of models for various values of by implementing the derivative expansion of the nonperturbative renormalization group…
Conformal invariance and vector operators in the model
Gonzalo De Polsi, Matthieu Tissier, Nicolás Wschebor
It is widely expected that, for a large class of models, scale invariance implies conformal invariance. A sufficient condition for this to happen is that there exists no integrated…
Criticality of the random field Ising model in and out of equilibrium: a nonperturbative functional renormalization group description
Ivan Balog, Gilles Tarjus, Matthieu Tissier
We show that, contrary to previous suggestions based on computer simulations or erroneous theoretical treatments, the critical points of the random-field Ising model out of equilib…
Scale invariance implies conformal invariance for the three-dimensional Ising model
Bertrand Delamotte, Matthieu Tissier, Nicolás Wschebor
Using Wilson renormalization group, we show that if no integrated vector operator of scaling dimension exists, then scale invariance implies conformal invariance. By using the…
Critical behavior of the random-field Ising model with long-range interactions in one dimension
Ivan Balog, Gilles Tarjus, Matthieu Tissier
We study the critical behavior of the one-dimensional random field Ising model (RFIM) with long-range interactions () by the nonperturbative functional renormal…
Nonperturbative Functional Renormalization Group for Random Field Models. IV: Supersymmetry and its spontaneous breaking
Matthieu Tissier, Gilles Tarjus
We apply the nonperturbative functional renormalization group (NP-FRG) in the superfield formalism that we have developed in the preceding paper to study long-standing issues conce…
Nonperturbative Functional Renormalization Group for Random Field Models. III: Superfield formalism and ground-state dominance
Matthieu Tissier, Gilles Tarjus
We reformulate the nonperturbative functional renormalization group for the random field Ising model in a superfield formalism, extending the supersymmetric description of the crit…
Hierarchical Reference Theory of critical fluids in disordered porous media
Gilles Tarjus, Martin-Luc Rosinberg, Edouard Kierlik +1
We consider the equilibrium behavior of fluids imbibed in disordered mesoporous media, including their gas-liquid critical point when present. Our starting points are on the one ha…
Supersymmetry and its spontaneous breaking in the random field Ising model
Matthieu Tissier, Gilles Tarjus
We provide a resolution of one of the long-standing puzzles in the theory of disordered systems. By reformulating the functional renormalization group (FRG) for the critical behavi…
Fixed points in frustrated magnets revisited
B. Delamotte, Yu. Holovatch, D. Ivaneyko +2
We analyze the validity of perturbative renormalization group estimates obtained within the fixed dimension approach of frustrated magnets. We reconsider the resummed five-loop bet…
Non-Perturbative Functional Renormalization Group for Random Field Models and Related Disordered Systems. II: Results for the Random Field O(N) Model
Matthieu Tissier, Gilles Tarjus
We study the critical behavior and phase diagram of the -dimensional random field O(N) model by means of the nonperturbative functional renormalization group approach presented…
Non-Perturbative Functional Renormalization Group for Random Field Models and Related Disordered Systems. I: Effective Average Action Formalism
Gilles Tarjus, Matthieu Tissier
We have developed a nonperturbative functional renormalization group approach for random field models and related disordered systems for which, due to the existence of many metasta…
Reply to: ``Comment on `Spurious fixed points in frustrated magnets,' cond-mat/0609285"
B. Delamotte, Yu. Holovatch, D. Ivaneyko +2
The Comment of A. Pelissetto and E. Vicari (cond-mat/0610113) on our article (cond-mat/0609285) is based on misunderstandings of this article as well as on unfounded implicit assum…
Spurious fixed points in frustrated magnets
B. Delamotte, Yu. Holovatch, D. Ivaneyko +2
We analyze the validity of perturbative estimations obtained at fixed dimensions in the study of frustrated magnets. To this end we consider the five-loop beta-functions obtained w…
Two-loop Functional Renormalization Group of the Random Field and Random Anisotropy O(N) Models
Matthieu Tissier, Gilles Tarjus
We study by the perturbative Functional Renormalization Group (FRG) the Random Field and Random Anisotropy O(N) models near , the lower critical dimension of ferromagnetism. T…
Frustrated magnets in three dimensions: a nonperturbative approach
B. Delamotte, D. Mouhanna, M. Tissier
Frustrated magnets exhibit unusual critical behaviors: they display scaling laws accompanied by nonuniversal critical exponents. This suggests that these systems generically underg…
Critical properties of a continuous family of XY noncollinear magnets
A. Peles, B. W. Southern, B. Delamotte +2
Monte Carlo methods are used to study a family of three dimensional XY frustrated models interpolating continuously between the stacked triangular antiferromagnets and a variant of…
Nonperturbative renormalization group approach to frustrated magnets
B. Delamotte, D. Mouhanna, M. Tissier
This article is devoted to the study of the critical properties of classical XY and Heisenberg frustrated magnets in three dimensions. We first analyze the experimental and numeric…