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We investigate the critical behavior that d-dimensional systems with short-range forces and a n-component order parameter exhibit at Lifshitz points whose wave-vector instability occurs in a m-dimensional isotropic subspace of ${\mathbb…

Statistical Mechanics · Physics 2009-11-07 M. Shpot , H. W. Diehl

In this work we generalize and subsequently apply the Effective Field Renormalization Group technique to the problem of ferro- and antiferromagnetically coupled Ising spins with local anisotropy axes in geometrically frustrated geometries…

Strongly Correlated Electrons · Physics 2009-11-07 A. J. Garcia-Adeva , D. L. Huber

We have developed a non-perturbative functional renormalization group approach for the random field O(N) model (RFO(N)M) that allows us to investigate the ordering transition in any dimension and for any value of N including the Ising case.…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gilles Tarjus , Matthieu Tissier

In this paper, we study the equilibrium states of a $N\times N$ stochastic complex random matrix $M$, whose entries evolve in time accordingly with a Langevin equation including both Gaussian white noises and a linear disorder, materialized…

High Energy Physics - Theory · Physics 2024-06-11 Vincent Lahoche , Dine Ousmane Samary

We study the weakly disordered Bose-Hubbard model on a cubic lattice through a one-loop renormalization group analysis of the corresponding effective field theory which is explicitly derived by combining a strong-coupling expansion with a…

Quantum Gases · Physics 2015-05-13 Frank Krüger , Jiansheng Wu , Philip Phillips

This paper, as a continuation of our previous investigation [arXiv:2403.07577] aims to study the glassy random matrices with quenched Wigner disorder. In this previous work, we have constructed a renormalization group based on the effective…

High Energy Physics - Theory · Physics 2024-07-22 Vincent Lahoche , Dine Ousmane Samary

We discuss the response of aging systems with short-range interactions to a class of random perturbations. Although these systems are out of equilibrium, the limit value of the free energy at long times is equal to the equilibrium free…

Disordered Systems and Neural Networks · Physics 2015-06-25 S. Franz , M. Mezard , G. Parisi , L. Peliti

Weakly correlated electrons on a square lattice are studied by angle-resolved functional renormalization group. Upon renormalization the interaction starts to depend on momenta and has pole-like solutions near a doping-dependent…

Strongly Correlated Electrons · Physics 2007-05-23 D. Zanchi

Two-dimensional disordered quantum antiferromagnets are studied by means of a continuum description in which disorder is introduced by a random distribution of couplings (spin stiffnesses) in the ordered phase of the Nonlinear Sigma Model.…

Strongly Correlated Electrons · Physics 2009-11-07 E. C. Marino

We review the theoretical description of the random field Ising and $O(N)$ models obtained from the functional renormalization group, either in its nonperturbative implementation or, in some limits, in perturbative implementations. The…

Disordered Systems and Neural Networks · Physics 2020-04-22 Gilles Tarjus , Matthieu Tissier

We study the critical dynamics of hyper-cubic finite size system in the presence of quenched short-range correlated disorder. By using the random $T_c$ model A for the critical dynamics and the renormalization group method in the vicinity…

Disordered Systems and Neural Networks · Physics 2015-06-25 H. Chamati , E. Korutcheva

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 metastable states, conventional perturbation theory often fails.…

Statistical Mechanics · Physics 2011-07-20 Gilles Tarjus , Matthieu Tissier

The universal critical behavior of the driven-dissipative non-equilibrium Bose-Einstein condensation transition is investigated employing the field-theoretical renormalization group method. Such criticality may be realized in broad ranges…

Statistical Mechanics · Physics 2014-04-18 Uwe C. Tauber , Sebastian Diehl

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

We show that it is possible to use dimensional regularization (DR) beyond the usual $\varepsilon$-expansion in the context of renormalization group (RG) calculations in Critical Phenomena. Based on this fact, we propose a new functional RG…

High Energy Physics - Theory · Physics 2026-04-29 P. Beretta , A. Codello

We study the effect of a random Flory-Huggins parameter in a symmetric diblock copolymer melt which is expected to occur in a copolymer where one block is near its structural glass transition. In the clean limit the microphase segregation…

Soft Condensed Matter · Physics 2009-11-11 Harry Westfahl , Joerg Schmalian

We present a functional renormalization group (fRG) study of the two dimensional Hubbard model, performed with an algorithmic implementation which lifts some of the common approximations made in fRG calculations. In particular, in our fRG…

Strongly Correlated Electrons · Physics 2019-10-23 Agnese Tagliavini , Cornelia Hille , Fabian B. Kugler , Sabine Andergassen , Alessandro Toschi , Carsten Honerkamp

A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the…

Nuclear Theory · Physics 2024-07-19 Kie Sang Jeong , Fabrizio Murgana , Ashutosh Dash , Dirk H. Rischke

We focus on two real-space renormalization-group (RG) methods recently proposed for a hierarchical model of a spin glass: A sample-by-sample method, in which the RG transformation is performed separately on each disorder sample, and an…

Disordered Systems and Neural Networks · Physics 2019-10-11 Michele Castellana

We propose a method to study the magnetic properties of a disordered Ising kagome lattice. The model considers small spin clusters with infinite-range disordered couplings and short-range ferromagnetic (FE) or antiferromagnetic…

Disordered Systems and Neural Networks · Physics 2015-07-10 M. Schmidt , F. M. Zimmer , S. G. Magalhaes