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We consider spin and electronic properties of itinerant electron systems, described by the spin-fermion model, near the antiferromagnetic critical point. We expand in the inverse number of hot spots in the Brillouin zone, N and present the…

Superconductivity · Physics 2009-10-31 Ar. Abanov , Andrey V. Chubukov

Two-dimensional (2D) disordered superconductor (SC) in class D exhibits a disorder-induced quantum multicritical phenomenon among diffusive thermal metal (DTM), topological superconductor (TS), and conventional localized (AI) phases. To…

Disordered Systems and Neural Networks · Physics 2021-11-22 Zhiming Pan , Tong Wang , Tomi Ohtsuki , Ryuichi Shindou

The critical behavior of an MN-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is studied in…

Statistical Mechanics · Physics 2007-05-23 A. I. Mudrov , K. B. Varnashev

A renormalization-group scheme is developed for the 3-dimensional O($2N$)-symmetric Ginzburg-Landau-Wilson model, which is consistent with the use of a 1/N expansion as a systematic method of approximation. It is motivated by an application…

Statistical Mechanics · Physics 2009-11-07 Ian D. Lawrie , Dominic J. Lee

The two-terminal conductance of a random flux model defined on a square lattice is investigated numerically at the band center using a transfer matrix method. Due to the chiral symmetry, there exists a critical point where the ensemble…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. Schweitzer , P. Markoš

The functional RG for the random field and random anisotropy O(N) sigma-models is studied to two loop. The ferromagnetic/disordered (F/D) transition fixed point is found to next order in d=4+epsilon for N > N_c (N_c=2.8347408 for random…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pierre Le Doussal , Kay Joerg Wiese

Motivated by the collective behaviour of biological swarms, we study the critical dynamics of field theories with coupling between order parameter and conjugate momentum in the presence of dissipation. By performing a dynamical…

Statistical Mechanics · Physics 2020-01-01 Andrea Cavagna , Luca Di Carlo , Irene Giardina , Luca Grandinetti , Tomas S. Grigera , Giulia Pisegna

Using dynamic renormalization group we study the transport in driven diffusive systems in the presence of quenched random drift velocity with long-range correlations along the transport direction. In dimensions $d\mathopen< 4$ we find fixed…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadic

The phase diagram of a system with two order parameters, with ${\it n_1}$ and $n_2$ components, respectively, contains two phases, in which these order parameters are non-zero. Experimentally and numerically, these phases are often…

Statistical Mechanics · Physics 2023-05-23 A. Kudlis , A. Aharony , O. Entin-Wohlman

We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energy-energy couplings. We take the general approach where the bare couplings are all taken to be…

Statistical Mechanics · Physics 2011-07-19 M. -A. Lewis , P. Simon

We study the critical behavior of a random field O($N$) spin model with a second-rank random anisotropy term in spatial dimensions $4<d<6$, by means of the replica method and the 1/N expansion. We obtain a replica-symmetric solution of the…

Disordered Systems and Neural Networks · Physics 2019-07-16 Yoshinori Sakamoto , Hisamitsu Mukaida , Chigak Itoi

The critical properties of the antiferromagnetic Heisenberg model on the three-dimensional stacked-triangular lattice are studied by means of a large-scale Monte Carlo simulation in order to get insight into the controversial issue of the…

Strongly Correlated Electrons · Physics 2020-01-08 Yoshihiro Nagano , Kazuki Uematsu , Hikaru Kawamura

In circuit-based quantum state preparation, qubit loss and coherent errors are circuit imperfections that imperil the formation of long-range entanglement beyond a certain threshold. The critical theory at the threshold is a continuous…

Quantum Physics · Physics 2025-12-30 Malte Pütz , Romain Vasseur , Andreas W. W. Ludwig , Simon Trebst , Guo-Yi Zhu

We study the critical properties of the QED$_3$-Gross-Neveu model with $2N$ flavors of two-component Dirac fermions coupled to a massless scalar field and a U(1) gauge field. For $N=1$, this theory has recently been suggested to be dual to…

Strongly Correlated Electrons · Physics 2017-11-10 Lukas Janssen , Yin-Chen He

We develop a real space renormalisation group analysis of disordered models of glasses, in particular of the spin models at the origin of the Random First Order Transition theory. We find three fixed points respectively associated to the…

Disordered Systems and Neural Networks · Physics 2017-07-05 Maria Chiara Angelini , Giulio Biroli

We set up a consistent background field formalism for studying the renormalization group (RG) flow of gravity coupled to $N_f$ Dirac fermions on maximally symmetric backgrounds. Based on Wetterich's equation we perform a detailed study of…

High Energy Physics - Theory · Physics 2021-07-05 Jesse Daas , Wouter Oosters , Frank Saueressig , Jian Wang

We study boundary criticality at the Nishimori multicritical point of the two-dimensional (2D) random-bond Ising model. Using tensor-network methods, we construct a family of microscopic boundary conditions that incorporates both…

Statistical Mechanics · Physics 2026-05-26 Sheng Yang , Xinyu Sun , Shao-Kai Jian

The space of solutions of the exact renormalization group fixed point equations of the two-dimensional $RP^{N-1}$ model, which we recently obtained within the scale invariant scattering framework, is explored for continuous values of $N\geq…

Statistical Mechanics · Physics 2021-03-19 Youness Diouane , Noel Lamsen , Gesualdo Delfino

We study the Principal Chiral Ginzburg-Landau-Wilson model around two dimensions within the Local Potential Approximation of an Exact Renormalization Group equation. This model, relevant for the long distance physics of classical frustrated…

High Energy Physics - Theory · Physics 2009-10-31 B. Delamotte , D. Mouhanna , P. Lecheminant

We investigate a class of relativistic fermion theories in 2<d<4 space-time dimensions with continuous chiral U(Nf)xU(Nf) symmetry. This includes a number of well-studied models, e.g., of Gross-Neveu and Thirring type, in a unified…

High Energy Physics - Theory · Physics 2015-11-02 Friedrich Gehring , Holger Gies , Lukas Janssen
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