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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

We consider disordered ladders of the transverse-field Ising model and study their critical properties and entanglement entropy for varying width, $w \le 20$, by numerical application of the strong disorder renormalization group method. We…

Disordered Systems and Neural Networks · Physics 2015-05-14 Istvan A. Kovacs , Ferenc Igloi

We study the off-equilibrium critical phenomena across a hysteretic first-order transition in disordered athermal systems. The study focuses on the zero temperature random field Ising model (ZTRFIM) above the critical disorder for spatial…

Statistical Mechanics · Physics 2023-01-16 Anurag Banerjee , Tapas Bar

In the paper [L. Fei et al., JHEP 09 (2015) 076] a cubic field theory of a scalar field $\sigma$ and two anticommuting scalar fields, $\theta$ and $\bar \theta$, was formulated. In $6-\epsilon$ dimensions it has a weakly coupled fixed point…

High Energy Physics - Theory · Physics 2022-03-15 Igor R. Klebanov

We present a field theoretic renormalization group study for the critical behaviour of a uniformly driven diffusive system with quenched disorder, which is modelled by different kinds of potential barriers between sites. Due to their…

Statistical Mechanics · Physics 2015-06-25 V. Becker , H. K. Janssen

We consider two-dimensional Fermi systems with quadratic band touching and $C_3$ symmetry, as realizable in Bernal-stacked honeycomb bilayers. Within a renormalization-group analysis, we demonstrate the existence of a quantum critical point…

Strongly Correlated Electrons · Physics 2018-12-20 Shouryya Ray , Matthias Vojta , Lukas Janssen

We consider disordered systems of directed polymer type, for which disorder is so-called marginally relevant. These include the usual (short-range) directed polymer model in dimension (2+1), the long-range directed polymer model with Cauchy…

Probability · Mathematics 2017-01-10 Francesco Caravenna , Rongfeng Sun , Nikos Zygouras

We investigate the universality of an Ising symmetry breaking phase transition of tilted two-dimensional Dirac fermions, in the type-I phase as well as at the Lifshitz transition between a type-I and a type-II semimetal, where the Fermi…

Strongly Correlated Electrons · Physics 2025-03-17 Huanzhi Hu , Frank Krüger

Quantum electrodynamics in 2+1-dimensions (QED$_3$) is a strongly coupled conformal field theory (CFT) of a U(1) gauge field coupled to $2N$ two-component massless fermions. The $N=2$ CFT has been proposed as a ground state of the spin-1/2…

Strongly Correlated Electrons · Physics 2017-07-05 Alex Thomson , Subir Sachdev

The S=1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, and with each spin belonging to one J2-coupled dimer. A transition from a Neel to disordered ground state occurs at a critical value…

Strongly Correlated Electrons · Physics 2007-07-28 Anders W. Sandvik

We formulate a holographic description of effects of disorder in conformal field theories based on the replica method and the AdS/CFT correspondence. Starting with $n$ copies of conformal field theories, randomness with a gaussian…

High Energy Physics - Theory · Physics 2009-01-22 Mitsutoshi Fujita , Yasuaki Hikida , Shinsei Ryu , Tadashi Takayanagi

A field-theoretic description of the critical behavior of weakly disordered systems with a $p$-component order parameter is given. For systems of an arbitrary dimension in the range from three to four, a renormalization group analysis of…

Disordered Systems and Neural Networks · Physics 2015-06-24 P. V. Prudnikov , V. V. Prudnikov

We study the instabilities to the conformal critical point of an exactly solvable family of Gross-Neveu models. Using conformal field theory techniques, we construct the zero-temperature phase diagram and identify the superconducting and…

Strongly Correlated Electrons · Physics 2026-02-02 Jaewon Kim

Using a very efficient numerical algorithm of the strong disorder renormalization group method we have extended the investigations about the critical behavior of the random transverse-field Ising model in three and four dimensions, as well…

Disordered Systems and Neural Networks · Physics 2015-05-20 Istvan A. Kovacs , Ferenc Igloi

The disorder operator is often designed to reveal the conformal field theory information in quantum many-body systems. By using large-scale quantum Monte Carlo simulation, we study the scaling behavior of disorder operators on the boundary…

Strongly Correlated Electrons · Physics 2024-06-18 Zenan Liu , Rui-Zhen Huang , Yan-Cheng Wang , Zheng Yan , Dao-Xin Yao

We study the putative multicritical point in 2+1D $\mathbb{Z}_k$ gauge theory where the Higgs and confinement transitions meet. The presence of an $e$-$m$ duality symmetry at this critical point forces anyons with nontrivial braiding to…

Strongly Correlated Electrons · Physics 2024-07-12 Zhengyan Darius Shi , Arkya Chatterjee

We study the exactly solvable 1D model: the dimerized $XY$ chain with uniform and staggered transverse fields, equivalent upon fermionization to the noninteracting dimerized Kitaev-Majorana chain with modulation. The model has three known…

Strongly Correlated Electrons · Physics 2022-10-03 Gennady Y. Chitov , Karun Gadge , P. N. Timonin

Scalar field theories regularized on a $D$ dimensional lattice are found to exhibit double scaling for a class of critical behaviors labeled by an integer $m\geq 2$. The continuum theory reached in the double scaling limit defines a…

High Energy Physics - Theory · Physics 2007-05-23 B. S. Balakrishna

We study the critical behavior and phase diagram of the $d$-dimensional random field O(N) model by means of the nonperturbative functional renormalization group approach presented in the preceding paper. We show that the dimensional…

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

We discuss several examples of three-dimensional critical phenomena that can be described by Landau-Ginzburg-Wilson $\phi^4$ theories. We present an overview of field-theoretical results obtained from the analysis of high-order perturbative…

High Energy Physics - Theory · Physics 2009-11-07 Pasquale Calabrese , Andrea Pelissetto , Paolo Rossi , Ettore Vicari