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We prove that the $q$-state Potts model and the random-cluster model with cluster weight $q>4$ undergo a discontinuous phase transition on the square lattice. More precisely, we show - Existence of multiple infinite-volume measures for the…

Probability · Mathematics 2017-09-06 Hugo Duminil-Copin , Maxime Gagnebin , Matan Harel , Ioan Manolescu , Vincent Tassion

Within gauge/gravity duality, we study the class of four dimensional CFTs with chiral anomaly described by Einstein-Maxwell-Chern-Simons theory in five dimensions. In particular we determine the phase diagram at finite temperature, chemical…

High Energy Physics - Theory · Physics 2016-07-28 Martin Ammon , Julian Leiber , Rodrigo P. Macedo

Inhomogeneous chiral-symmetry breaking phases at non-vanishing chemical potential and temperature are studied within a two-flavor quark-meson model in the chiral limit. The analysis is performed beyond the standard mean-field approximation…

High Energy Physics - Phenomenology · Physics 2014-07-30 Stefano Carignano , Michael Buballa , Bernd-Jochen Schaefer

Possible occurrence of an equilibrium thermodynamic phase with a spontaneously broken time-reversal symmetry is studied in a model ceramic superconductor with anisotropic pairing symmetry. It is shown by Monte Carlo simulations that such a…

Superconductivity · Physics 2009-10-30 Hikaru Kawamura , Mai Suan Li

Phase transitions occupy a central role in physics, due both to their experimental ubiquity and their fundamental conceptual importance. The explanation of universality at phase transitions was the great success of the theory formulated by…

Statistical Mechanics · Physics 2009-11-11 Fabien Alet , Gregoire Misguich , Vincent Pasquier , Roderich Moessner , Jesper Lykke Jacobsen

The chiral spin-glass Potts system with q=3 states is studied in d=2 and 3 spatial dimensions by renormalization-group theory and the global phase diagrams are calculated in temperature, chirality concentration p, and chirality-breaking…

Statistical Mechanics · Physics 2016-09-27 Tolga Caglar , A. Nihat Berker

We study the three-dimensional XY-spin glass as a model for the resistive behavior of granular superconductors containing a random distribution of $\pi$ junctions, as in high-$T_c$ superconducting materials with d-wave symmetry. The $\pi$…

Superconductivity · Physics 2009-10-31 Enzo Granato

The classical two-dimensional anisotropic triangular nearest-neighbor Ising (ATNNI) model is studied by the density matrix renormalization group (DMRG) technique when periodic boundary conditions are imposed. Applying the finite-size…

Statistical Mechanics · Physics 2009-10-31 A. Gendiar , A. Surda

We initiate a numerical conformal bootstrap study of CFTs with $S_n \ltimes (S_Q)^n$ global symmetry. These include CFTs that can be obtained as coupled replicas of two-dimensional critical Potts models. Particular attention is paid to the…

High Energy Physics - Theory · Physics 2024-05-31 Stefanos R. Kousvos , Alessandro Piazza , Alessandro Vichi

Utilizing Bott index vectors formulated through a series of polynomials of position operators under open boundary conditions, we establish a universal, rigorous, and complete correspondence between the Bott index vector and topological…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Jia-Zheng Li , Xun-Jiang Luo , Fengcheng Wu , Meng Xiao

Using Monte Carlo simulations, we compute the spin stiffness of a site-random 3d Heisenberg model with competing ferromagnetic and antiferromagnetic interactions. Our results for the pure limit yield values of the the critical temperature…

Statistical Mechanics · Physics 2009-11-10 S. Bekhechi , B. W. Southern

We employ non-perturbative flow equations to compute the equation of state for two flavor QCD within an effective quark meson model. Our treatment covers both the chiral perturbation theory domain of validity and the domain of validity of…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

It is commonly believed that in confining vector-like gauge theories the center and chiral symmetry realizations are parametrically entangled, and if phase transitions occur, they must take place around the strong scale $\Lambda^{-1}$ of…

High Energy Physics - Theory · Physics 2013-05-29 Mithat Unsal

We investigate the critical behavior of the two-dimensional 8-state Potts model with an aperiodic distribution of the exchange interactions between nearest-neighbor rows. The model is studied numerically through intensive Monte Carlo…

Statistical Mechanics · Physics 2009-10-30 Pierre Emmanuel Berche , Christophe Chatelain , Bertrand Berche

The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The…

The properties of the chiral phase transition at finite temperature and chemical potential are investigated within a nonlocal covariant extension of the Nambu-Jona-Lasinio model based on a separable quark-quark interaction. We consider both…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. General , D. Gomez Dumm , N. N. Scoccola

The massive high-temperature phase of the chiral Potts quantum chain is studied using perturbative methods. For the Z_3-chain we present high-temperature expansions for the groundstate energy and the dispersion relations of the two…

High Energy Physics - Theory · Physics 2009-09-25 A. Honecker

We discuss the interplay between chiral and center sector phase transitions that occur in QCD with an imaginary quark chemical potential $\mu=i(2n+1) \pi T/3$. Based on a finite size scaling analysis in (2+1)-flavor QCD using HISQ fermions…

High Energy Physics - Lattice · Physics 2022-08-17 F. Cuteri , J. Goswami , F. Karsch , Anirban Lahiri , M. Neumann , O. Philipsen , Christian Schmidt , A. Sciarra

We study the critical behavior of the 3-state Potts model, where the spins are located at the centers of the occupied squares of the deterministic Sierpinski carpet. A finite-size scaling analysis is performed from Monte Carlo simulations,…

Statistical Mechanics · Physics 2009-11-10 Pai-Yi Hsiao , Pascal Monceau

Rydberg chains provide an appealing platform for probing conformal field theories (CFTs) that capture universal behavior in a myriad of physical settings. Focusing on a Rydberg chain at the Ising transition separating charge density wave…

Strongly Correlated Electrons · Physics 2021-12-07 Kevin Slagle , David Aasen , Hannes Pichler , Roger S. K. Mong , Paul Fendley , Xie Chen , Manuel Endres , Jason Alicea