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We study the two dimensional XY model with quenched random phases and its Coulomb gas formulation. A novel renormalization group (RG) method is developed which allows to study perturbatively the glassy low temperature XY phase and the…

Disordered Systems and Neural Networks · Physics 2009-10-31 David Carpentier , Pierre Le Doussal

We analyze the finite-temperature effects on the phase diagram describing the insulating properties of interacting 1D bosons in a quasi-periodic lattice. We examine thermal effects by comparing experimental results to exact diagonalization…

We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with…

Statistical Mechanics · Physics 2013-08-21 J. O. Indekeu , K. Koga , H. Hooyberghs , A. O. Parry

We develop a systematic multi-local expansion of the Polchinski-Wilson exact renormalization group (ERG) equation. Integrating out explicitly the non local interactions, we reduce the ERG equation obeyed by the full interaction functional…

Condensed Matter · Physics 2009-10-31 Pascal Chauve , Pierre Le Doussal

The fundamental interactions between an edge dislocation and a random solid solution are studied by analyzing dislocation line roughness profiles obtained from molecular dynamics simulations of Fe0.70Ni0.11 Cr0.19 over a range of stresses…

Strongly disordered and strongly interacting quantum critical points are difficult to access with conventional field theoretic methods. They are, however, both experimentally important and theoretically interesting. In particular, they are…

High Energy Physics - Theory · Physics 2016-05-04 Sean A. Hartnoll , David M. Ramirez , Jorge E. Santos

We use the semiclassical approach combined with the scaling results for the diffusion coefficient to consider the two-level correlation function $R(\varepsilon)$ for a disordered electron system in the crossover region, characterized by the…

Condensed Matter · Physics 2016-08-31 Arkady G. Aronov , Vladimir E. Kravtsov , Igor V. Lerner

We review the functional renormalization group (RG) approach to the BCS-BEC crossover for an ultracold gas of fermionic atoms. Formulated in terms of a scale-dependent effective action, the functional RG interpolates continuously between…

Quantum Gases · Physics 2010-10-15 Michael M. Scherer , Stefan Floerchinger , Holger Gies

Fermionic functional renormalization group (FRG) is applied to describe the superfluid phase transition of the two-component fermionic system with attractive contact interaction. Connection between the fermionic FRG approach and the…

Quantum Gases · Physics 2014-08-19 Yuya Tanizaki , Gergely Fejős , Tetsuo Hatsuda

We use the scalar model with quartic interaction to illustrate how a nonperturbative variational technique combined with renormalization group (RG) properties efficiently resums perturbative expansions in thermal field theories. The…

High Energy Physics - Phenomenology · Physics 2016-01-27 J. -L. Kneur , M. B. Pinto

Perturbation theory, as well as most thermal field resummation methods widely used to study finite-temperature quantum field theories, presents a non-negligible renormalization scale dependence. To address this limitation, we propose an…

High Energy Physics - Phenomenology · Physics 2026-05-11 Lucas G. Câmara , Marcus Benghi Pinto , Rudnei O. Ramos

We present a renormalization group treatment of quantum tricriticality in metals. Applying a set of flow equations derived within the functional renormalization group framework we evaluate the correlation length in the quantum critical…

Strongly Correlated Electrons · Physics 2017-08-31 P. Jakubczyk , J. Bauer , W. Metzner

We point out that the low temperature saturation of the electron phase decoherence time in a disordered conductor can be explained within the existing theory of weak localization provided the effect of quantum (high frequency) fluctuations…

Condensed Matter · Physics 2009-10-30 Dmitrii S. Golubev , Andrei D. Zaikin

We present a systematic weak-coupling renormalization group (RG) technique for studying a collection of $N$ coupled one-dimensional interacting electron systems, focusing on the example of N-leg Hubbard ladders. For $N=2,3$, we recover…

Strongly Correlated Electrons · Physics 2009-10-30 Hsiu-Hau Lin , Leon Balents , Matthew P. A. Fisher

Exact numerical minimization of interface energies is used to test the functional renormalization group (FRG) analysis for interfaces pinned by quenched disorder. The fixed-point function R(u) (the correlator of the coarse-grained disorder)…

Disordered Systems and Neural Networks · Physics 2013-05-29 A. Alan Middleton , Pierre Le Doussal , Kay Joerg Wiese

The interplay between disorder, quantum fluctuations and dissipation is studied in the random transverse Ising chain coupled to a dissipative Ohmic bath with a real space renormalization group. A typically very large length scale, L*, is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gregory Schehr , Heiko Rieger

The non equilibrium relaxational dynamics of the solid on solid model on a disordered substrate and the Sine Gordon model with random phase shifts is studied numerically. Close to the super-roughening temperature $T_g$ our results for the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Heiko Rieger

Ultracold polar molecules, in highly anisotropic traps and interacting via a repulsive dipolar potential, may form one-dimensional chains at high densities. According to classical theory, at low temperatures there exists a critical value of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 G. E. Astrakharchik , Gabriele De Chiara , Giovanna Morigi , Jordi Boronat

The interplay between different types of disorder and electron-electron interactions in graphene planes is studied by means of Renormalization Group techniques. The low temperature properties of the system are determined by fixed points…

Strongly Correlated Electrons · Physics 2009-11-10 T. Stauber , F. Guinea , M. A. H. Vozmediano

We study the replica field theory which describes the pinning of elastic manifolds of arbitrary internal dimension d in a random potential, with the aim of bridging the gap between mean field and renormalization theory. The full effective…

Condensed Matter · Physics 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese