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We present a calculation of critical phenomena directly in continuous dimension d employing an exact renormalization group equation for the effective average action. For an Ising-type scalar field theory we calculate the critical exponents…

High Energy Physics - Theory · Physics 2009-11-10 H. Ballhausen , J. Berges , C. Wetterich

We analyze the scaling behavior at and near a quantum critical point separating a semimetallic from a superfluid phase. To this end we compute the renormalization group flow for a model of attractively interacting electrons with a linear…

Strongly Correlated Electrons · Physics 2011-11-08 Benjamin Obert , So Takei , Walter Metzner

We investigate the nature of the magnetic phase transition induced by the short-ranged electron-electron interactions in a Weyl semimetal by using the perturbative renormalization-group method. We find that the critical point associated…

Strongly Correlated Electrons · Physics 2017-07-19 Yu-Li Lee , Yu-Wen Lee

It is argued that universality is severely limited for models with multiple fixed points. As a demonstration the renormalization group equations are presented for the potential and the wave function renormalization constants in the $O(N)$…

High Energy Physics - Theory · Physics 2009-10-28 Sen-Ben Liao , Janos Polonyi

Conventional ordering transitions, described by the Landau paradigm, are characterized by the symmetries broken at the critical point. Within the constrained manifold occurring at low temperatures in certain frustrated systems,…

Statistical Mechanics · Physics 2014-01-14 Stephen Powell

Recent developments in spintronics have drawn renewed attention to the spin dynamics of cubic ferromagnetic crystals EuO and EuS. These ferromagnets have the simplest possible magnetic structure, making them the most suitable systems for…

Materials Science · Physics 2025-04-01 Igor Kolokolov , Victor S. L'vov , Anna Pomyalov

We employ the Multiscale Entanglement Renormalization Ansatz (MERA) tensor network to investigate a critical line of continuous quantum phase transitions of the $\mathbb{Z}_3$ chiral clock model. This critical line is believed to be…

Statistical Mechanics · Physics 2026-04-23 Shiyong Guo , Brian Swingle

Three dimensional Ising model ferromagnets on different lattices with nearest neighbor interactions, and on simple cubic lattices with equivalent interactions out to further neighbors, are studied numerically. The susceptibility data for…

Statistical Mechanics · Physics 2011-07-28 P. H. Lundow , I. A. Campbell

Using the renormalization group method, new type of fluctuation-driven first order phase transitions and critical phenomena are predicted for certain classes of ferromagnetic superconductors and superfluids with unconventional…

Superconductivity · Physics 2008-08-08 Dimo I. Uzunov

We study multifractality in a broad class of disordered systems which includes, e.g., the diluted x-y model. Using renormalized field theory we analyze the scaling behavior of cumulant averaged dynamical variables (in case of the x-y model…

Statistical Mechanics · Physics 2009-11-10 Olaf Stenull

The critical behavior of the XY model on small-world network is investigated by means of dynamic Monte Carlo simulations. We use the short-time relaxation scheme, i.e., the critical behavior is studied from the nonequilibrium relaxation to…

Disordered Systems and Neural Networks · Physics 2009-11-10 Kateryna Medvedyeva , Petter Holme , Petter Minnhagen , Beom Jun Kim

We discuss the quantum mechanics of a particle restricted to the half-line $x > 0$ with potential energy $V = \alpha/x^2$ for $-1/4 < \alpha < 0$. It is known that two scale-invariant theories may be defined. By regularizing the near-origin…

Quantum Physics · Physics 2021-02-02 Steve T. Paik

Meson-antimeson mixing provides the most stringent constraints on baryon- and lepton-number conserving New Physics, probing scales higher than $10^5$ TeV. In the context of the effective theory of weak interactions, these constraints…

High Energy Physics - Phenomenology · Physics 2019-11-04 Luca Silvestrini , Mauro Valli

Building on the recent derivation of a bare factorization theorem for the $b$-quark induced contribution to the $h\to\gamma\gamma$ decay amplitude based on soft-collinear effective theory, we derive the first renormalized factorization…

High Energy Physics - Phenomenology · Physics 2021-02-03 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang

We describe a new universality class of dynamical quantum phase transitions of the Loschmidt amplitude of quantum spin chains off equilibrium criticality. We demonstrate that in many cases it is possible to change the conventional linear…

Statistical Mechanics · Physics 2020-10-07 Yantao Wu

We investigate the quantum-critical behavior between the rung-singlet phase with hidden string order and the N\'eel phase with broken $SU(2)$-symmetry on quantum spin ladders with algebraically decaying unfrustrated long-range Heisenberg…

Strongly Correlated Electrons · Physics 2022-09-05 P. Adelhardt , K. P. Schmidt

We report our Monte Carlo results on the critical and multicritical behavior of the +- J Ising model [with a random-exchange probability P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)], in two and three dimensions. We study the…

Disordered Systems and Neural Networks · Physics 2009-02-17 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. It is being discussed in a number of strongly correlated electron systems. A prototype case occurs in the…

Strongly Correlated Electrons · Physics 2011-02-28 Qimiao Si

It is shown that unconventional critical phenomena commonly observed in paramagnetic metals YbRh2Si2, YbRh2(Si0.95Ge0.05)2, and beta-YbAlB4 is naturally explained by the quantum criticality of Yb-valence fluctuations. We construct the mode…

Strongly Correlated Electrons · Physics 2010-11-02 Shinji Watanabe , Kazumasa Miyake

We extend the Hertz-Millis theory of quantum phase transitions in itinerant electron systems to phases with broken discrete symmetry. Using a set of coupled flow equations derived within the functional renormalization group framework, we…

Strongly Correlated Electrons · Physics 2009-11-13 P. Jakubczyk , P. Strack , A. A. Katanin , W. Metzner
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