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A simple phenomenological real-space renormalization group method for quantum Heisenberg spins with nearest and next nearest neighbour interactions on a pyrochlore lattice is presented. Assuming a scaling law for the order parameter of two…

Statistical Mechanics · Physics 2013-09-18 Angel J. Garcia-Adeva

A new renormalization group treatment is proposed for the critical exponents of an m-fold Lifshitz point. The anisotropic cases (m not equal 8) are described by two independent fixed points associated to two independent momentum flow along…

High Energy Physics - Theory · Physics 2007-05-23 Marcelo M. Leite

The permutation model is a classical spin system where elements of the symmetric group interact with one another. The partition function of this model is directly related to the entanglement structure of random quantum circuits and random…

Statistical Mechanics · Physics 2026-05-26 Ryuki Ito , Taisei Matsuo , Masayuki Ohzeki

U(1) lattice gauge theory with $\theta$-term is investigated by real space renormalization group approach. Flows of renormalized coupling constants are analyzed. For each $\theta$, renormalization flows converge to a single trajectory…

High Energy Physics - Lattice · Physics 2017-03-08 Ahmed Sayed HASSAN , Masahiro IMACHI , Hiroshi YONEYAMA

We study the scaling behavior of period doublings in two unidirectionally-coupled one-dimensional maps near a bicritical point where two critical lines of period-doubling transition to chaos in both subsystems meet. Note that the bicritical…

chao-dyn · Physics 2009-10-31 Sang-Yoon Kim

We prove that steady state bifurcations in finite-dimensional dynamical systems that are symmetric with respect to a monoid representation generically occur along an absolutely indecomposable subrepresentation. This is stated as a…

Dynamical Systems · Mathematics 2018-10-10 Sören Schwenker

We study the renormalization group flow of $\mathbb{Z}_2$-invariant supersymmetric and non-supersymmetric scalar models in the local potential approximation using functional renormalization group methods. We focus our attention to the fixed…

High Energy Physics - Theory · Physics 2015-10-28 Tobias Hellwig , Andreas Wipf , Omar Zanusso

Conventionally, symmetry-protected topological phases and band crossings are protected by global symmetries acting on the entire system. Here, we show that symmetries preserved only on a partial region of a system, termed local support…

Strongly Correlated Electrons · Physics 2026-01-27 Jun-Won Rhim , Jaeuk Seo , Seongjun Mo , Hoonkyung Lee , Sejoong Kim , B. Andrei Bernevig

Symbiotic solitons (SS) and quantum droplets (QD) are self-trapped localized modes emerging in binary Bose-gas mixtures with intra-component repulsion and inter-component attraction. We have shown that two-dimensional SS can be stabilized…

Quantum Gases · Physics 2023-11-01 S. M. Al-Marzoug , B. B. Baizakov , H. Bahlouli

We study symmetry-protected topological (SPT) phases of matter in 2D protected by symmetries acting on fractal subsystems of a certain type. Despite the total symmetry group of such systems being subextensively large, we show that only a…

Strongly Correlated Electrons · Physics 2019-06-19 Trithep Devakul

Subsystem symmetry has emerged as a powerful organizing principle for unconventional quantum phases of matter, most prominently fracton topological orders. Here, we focus on a special subclass of such symmetries, known as higher-form…

Strongly Correlated Electrons · Physics 2024-03-15 Brandon C. Rayhaun , Dominic J. Williamson

Tensor models provide a way to access the path-integral for discretized quantum gravity in d dimensions. As in the case of matrix models for two-dimensional quantum gravity, the continuum limit can be related to a Renormalization Group…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Astrid Eichhorn , Tim Koslowski

In this work, we introduce a new type of topological order which is protected by subsystem symmetries which act on lower dimensional subsets of lattice many-body system, e.g. along lines or planes in a three dimensional system. The symmetry…

Strongly Correlated Electrons · Physics 2018-07-18 Yizhi You , Trithep Devakul , F. J. Burnell , S. L. Sondhi

In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic…

High Energy Physics - Theory · Physics 2015-06-17 Hong Liu , Márk Mezei

We formulate a local picture of strongly correlated systems as a Feynman sum over atomic configurations. The hopping amplitudes between these atomic configurations are identified as the renormalization group charges, which describe the…

Condensed Matter · Physics 2015-06-25 Gabriel Kotliar , Qimiao Si

We investigate possible renormalization-group fixed points at nonzero coupling in $\phi^3$ theories in six spacetime dimensions, using beta functions calculated to the four-loop level. We analyze three theories of this type, with (a) a…

High Energy Physics - Theory · Physics 2020-08-25 John A. Gracey , Thomas A. Ryttov , Robert Shrock

We consider the symmetry-breaking steady state bifurcation of a spatially-uniform equilibrium solution of E(2)-equivariant PDEs. We restrict the space of solutions to those that are doubly-periodic with respect to a square or hexagonal…

patt-sol · Physics 2008-02-03 B. Dionne , M. Silber , A. C. Skeldon

The concept of a disordered Fermi-liquid fixed point is introduced and used to understand various properties of disordered metals within a unifying framework. Corrections to scaling near this fixed point give what are commonly called…

Statistical Mechanics · Physics 2017-09-27 D. Belitz , T. R. Kirkpatrick

We describe a search for renormalization group fixed points which control a second-order quantum phase transition between a d_{x^2-y^2} superconductor and some other superconducting ground state. Only a few candidate fixed points are found.…

Strongly Correlated Electrons · Physics 2008-01-24 Matthias Vojta , Ying Zhang , Subir Sachdev

Using Wilsonian methods, we study the renormalization group flow of the Nonlinear Sigma Model in any dimension $d$, restricting our attention to terms with two derivatives. At one loop we always find a Ricci flow. When symmetries completely…

High Energy Physics - Theory · Physics 2009-02-18 A. Codello , R. Percacci