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The critical thermodynamics of an $MN$-component field model with cubic anisotropy relevant to the phase transitions in certain crystals with complicated ordering is studied within the four-loop $\ve$ expansion using the minimal subtraction…

Statistical Mechanics · Physics 2009-11-07 Andrei Mudrov , Konstantin Varnashev

We study critical behavior of the diluted 2D Ising model in the presence of disorder correlations which decay algebraically with distance as $\sim r^{-a}$. Mapping the problem onto 2D Dirac fermions with correlated disorder we calculate the…

Disordered Systems and Neural Networks · Physics 2016-06-23 Maxym Dudka , Andrei A. Fedorenko , Viktoria Blavatska , Yurij Holovatch

Critical exponents for the 3D O(n)-symmetric model with n > 3 are estimated on the base of six-loop renormalization-group (RG) expansions. A simple Pade-Borel technique is used for the resummation of the RG series and the Pade approximants…

High Energy Physics - Theory · Physics 2009-10-31 S. A. Antonenko , A. I. Sokolov

We study active Brownian particles as a paradigm for genuine non-equilibrium phase transitions. Access to the critical point in computer simulations is obstructed by the fact that the density is conserved. We propose a modification of…

Soft Condensed Matter · Physics 2018-09-26 Jonathan Tammo Siebert , Florian Dittrich , Friederike Schmid , Kurt Binder , Thomas Speck , Peter Virnau

We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two…

Statistical Mechanics · Physics 2014-11-20 P. Strack , P. Jakubczyk

The critical behavior of a model with N-vector complex order parameter and three quartic coupling constants that describes phase transitions in unconventional superconductors, helical magnets, stacked triangular antiferromagnets, superfluid…

Statistical Mechanics · Physics 2009-10-31 S. A. Antonenko , A. I. Sokolov

The critical and multicritical behavior of the simple cubic Ising model with nearest-neighbor, next-nearest-neighbor and plaquette interactions is studied using the cube and star-cube approximations of the cluster variation method and the…

Statistical Mechanics · Physics 2008-12-18 E. N. M. Cirillo , G. Gonnella , A. Pelizzola

We use renormalization group (RG) analysis and dimensional regularization techniques to study potential superconductivity-inducing four-fermion interactions in systems with critical Fermi surfaces of general dimensions ($m$) and…

Strongly Correlated Electrons · Physics 2024-03-01 Ipsita Mandal

The critical behavior at the special surface transition and crossover bevavior from special to ordinary surface transition in semi-infinite n-component anisotropic cubic models are investigated by applying the field theoretic approach…

Statistical Mechanics · Physics 2007-05-23 Z. Usatenko

Second-order phase transitions in a non-equilibrium liquid-gas model with reversible mode couplings, i.e., model H for binary-fluid critical dynamics, are studied using dynamic field theory and the renormalization group. The system is…

Statistical Mechanics · Physics 2015-06-24 Jaime E. Santos , Uwe C. Tauber

We have computed through order $\beta^{21}$ the high-temperature expansions for the nearest-neighbor spin correlation function $G(N,\beta)$ of the classical N-vector model, with general N, on the simple-cubic and on the body-centered-cubic…

High Energy Physics - Lattice · Physics 2009-10-31 P. Butera , M. Comi

The annihilation of two intermediate-coupling renormalization-group (RG) fixed points is of interest in diverse fields from statistical mechanics to high-energy physics, but has so far only been studied using perturbative techniques. Here…

Strongly Correlated Electrons · Physics 2023-05-03 Manuel Weber , Matthias Vojta

We study the low-energy physics of the critical (2+1)-dimensional random transverse-field Ising model. The one-dimensional version of the model is a paradigmatic example of a system governed by an infinite-randomness fixed point, for which…

Statistical Mechanics · Physics 2023-11-21 Akshat Pandey , Aditya Mahadevan , Aditya Cowsik

The critical properties of $N$-color London model are studied in $d=2+1$ dimensions. The model is dualized to a theory of $N$ vortex fields interacting through a Coulomb and a screened potential. The model with N=2 shows two anomalies in…

Superconductivity · Physics 2007-05-23 J. Smiseth , E. Smorgrav , A. Sudbo

We study the UV behaviour of actions including integer powers of scalar curvature and even powers of scalar fields with Functional Renormalization Group techniques. We find UV fixed points where the gravitational couplings have non-trivial…

High Energy Physics - Theory · Physics 2010-04-29 Gaurav Narain , Christoph Rahmede

A nonconventional renormalization-group (RG) treatment close to and below four dimensions is used to explore, in a unified and systematic way, the low-temperature properties of a wide class of systems in the influence domain of their…

Statistical Mechanics · Physics 2009-11-13 M. T. Mercaldo , L. De Cesare , I. Rabuffo , A. Caramico D'Auria

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

A self-consistent renormalization scheme suitable for the calculation of non-universal quantities in $n$-vector models with pair spin interactions of arbitrary extent has been suggested. The method has been based on the elimination of the…

Statistical Mechanics · Physics 2019-04-24 V. I. Tokar

The infinite disorder fixed point of the random transverse-field Ising model is expected to control the critical behavior of a large class of random quantum and stochastic systems having an order parameter with discrete symmetry. Here we…

Disordered Systems and Neural Networks · Physics 2015-05-19 Istvan A. Kovacs , Ferenc Igloi

We have measured the critical atom number in an array of harmonically trapped two-dimensional (2D) Bose gases of rubidium atoms at different temperatures. We found this number to be about five times higher than predicted by the…

Other Condensed Matter · Physics 2009-11-13 Peter Krüger , Zoran Hadzibabic , Jean Dalibard