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Some aspects of the functional RG (FRG) approach to pinned elastic manifolds (of internal dimension $d$) at finite temperature $T>0$ are reviewed and reexamined in this much expanded version of [Europhys. Lett. {\bf 76} 457 (2006)]. The…

无序系统与神经网络 · 物理学 2008-09-09 Pierre Le Doussal

Using the functional renormalization group (FRG) we study the thermal fluctuations of elastic objects, described by a displacement field u and internal dimension d, pinned by a random potential at low temperature T, as prototypes for…

无序系统与神经网络 · 物理学 2009-11-10 Leon Balents , Pierre Le Doussal

Using functional RG, we reexamine the glass phase of the 2D random-field Sine Gordon model. It is described by a line of fixed points (FP) with a super-roughening amplitude $\bar{(u(0)-u(r))^2} \sim A(T) \ln^2 r $ as temperature $T$ is…

无序系统与神经网络 · 物理学 2009-11-11 Pierre Le Doussal , Gregory Schehr

We show how the renormalized force correlator Delta(u), the function computed in the functional RG (FRG) field theory, can be measured directly in numerics and experiments on the dynamics of elastic manifolds in presence of pinning…

无序系统与神经网络 · 物理学 2007-07-12 Pierre Le Doussal , Kay Joerg Wiese

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)…

无序系统与神经网络 · 物理学 2013-05-29 A. Alan Middleton , Pierre Le Doussal , Kay Joerg Wiese

The functional renormalisation group (FRG) approach is employed to study Bose polarons at finite temperatures in the regime of strong attractive bath-impurity interactions. Both two- and three-dimensional configurations are considered. The…

量子气体 · 物理学 2025-01-20 Felipe Isaule

In this article, we consider a Renormalization Group flow of the Thermofield-Double state in a UV-complete description of Holography, by introducing a relevant deformation to the ${\cal N}=4$ super Yang-Mills theory at strong coupling. This…

高能物理 - 理论 · 物理学 2022-06-07 Suman Das , Arnab Kundu

We use the functional renormalization group (FRG) to derive analytical expressions for thermodynamic observables (density, pressure, entropy, and compressibility) as well as for single-particle properties (wavefunction renormalization and…

量子气体 · 物理学 2017-01-19 Jan Krieg , Dominik Strassel , Simon Streib , Sebastian Eggert , Peter Kopietz

The thermodynamic properties of a one-dimensional model describing spin dynamics in the presence of a twofold orbital degeneracy are studied numerically using the transfer-matrix renormalization group (TMRG). The model contains an…

强关联电子 · 物理学 2007-05-23 J. Sirker

Using one loop functional RG we study two problems of pinned elastic systems away from their equilibrium or steady states. The critical regime of the depinning transition is investigated starting from a flat initial condition. It exhibits…

无序系统与神经网络 · 物理学 2009-11-11 Gregory Schehr , Pierre Le Doussal

By using real space renormalisation group (RG) methods we show that spin-glasses in a field display a new kind of transition in high dimensions. The corresponding critical properties and the spin-glass phase are governed by two…

无序系统与神经网络 · 物理学 2015-07-17 Maria Chiara Angelini , Giulio Biroli

The sine-Gordon model serves as a foundational $1+1$-dimensional quantum field theory with numerous applications in condensed matter physics. Despite its integrability, characterizing its finite-temperature behavior remains a significant…

统计力学 · 物理学 2026-04-15 M. Tóth , J. H. Pixley , G. Takács , M. Kormos

The statistical correlations of two copies of a d-dimensional elastic manifold embedded in slightly different frozen disorder are studied using the Functional Renormalization Group to one-loop accuracy, order O(eps = 4-d). Determining the…

无序系统与神经网络 · 物理学 2007-09-11 O. Duemmer , P. Le Doussal

We study weakly-repulsive Bose-Bose mixtures in two and three dimensions at zero temperature using the functional renormalization group (FRG). We examine the RG flows and the role of density and spin fluctuations. We study the condition for…

量子气体 · 物理学 2021-01-26 Felipe Isaule , Ivan Morera , Artur Polls , Bruno Juliá-Díaz

In recent work we have shown that the Fermi liquid aspects of the strong coupling fixed point of the s-d and Anderson models can brought out more clearly by interpreting the fixed point as a renormalized Anderson model, characterized by a…

强关联电子 · 物理学 2009-11-10 A. C. Hewson

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…

凝聚态物理 · 物理学 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese

We use the density matrix renormalization group method (DMRG) to compute the frequency and momentum resolved spin-spin correlation functions of a dimerized spin-1/2 chain under a magnetic field at finite temperature. The spectral features…

强关联电子 · 物理学 2018-10-09 Emanuele Coira , Peter Barmettler , Thierry Giamarchi , Corinna Kollath

Considering marginally relevant and relevant deformations of the weakly coupled $(3+1)$-dimensional large $N$ conformal gauge theories introduced in arXiv:2011.13981, we study the patterns of phase transitions in these systems that lead to…

高能物理 - 理论 · 物理学 2021-09-15 Soumyadeep Chaudhuri , Eliezer Rabinovici

We present for the first time time-dependent density-matrix renormalization-group simulations (t-DMRG) at finite temperatures. It is demonstrated how a combination of finite-temperature t-DMRG and time-series prediction allows for an easy…

强关联电子 · 物理学 2009-07-28 Thomas Barthel , Ulrich Schollwöck , Steven R. White

We compute the Functional Renormalization Group (FRG) disorder- correlator function R(v) for d-dimensional elastic manifolds pinned by a random potential in the limit of infinite embedding space dimension N. It measures the equilibrium…

无序系统与神经网络 · 物理学 2008-02-22 Pierre Le Doussal , Markus Mueller , Kay Joerg Wiese
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