Lee-Yang-zero ratio method in three-dimensional Ising model

Abstract

By performing Monte Carlo simulations of the three-dimensional Ising model, we apply the recently proposed Lee-Yang-zero ratio (LYZR) method to determine the location of the critical point in this model. We demonstrate that the LYZR method is as powerful as the conventional Binder-cumulant method in studying the critical point, while the LYZR method has the advantage of suppressing the violation of the finite-size scaling and non-linearity near the critical point. We also achieve a precise determination of the values of the LYZRs at the critical point, which are universal numbers. In addition, we propose an alternative method that uses only a single Lee-Yang zero and show that it is also useful for the search for the critical point.

29 pages, 8 figures

References in corpus (24)

• Bounding scalar operator dimensions in 4D CFT
• Tensor renormalization group approach to 2D classical lattice models
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Pushing the Limits of Monte Carlo Simulations for the 3d Ising Model
• More constraining conformal bootstrap
• Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism
• Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction
• Lee-Yang zero analysis for the study of QCD phase structure
• Universal location of the Yang-Lee edge singularity in O(N) theories
• Bootstrapping the 3d Ising Stress Tensor
• Deconfinement critical point of lattice QCD with $N_{\mathrm{f}}=2$ Wilson fermions
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• Finite-size scaling around the critical point in the heavy quark region of QCD
• Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$
• Yang-Lee edge singularities from extended activity expansions of the dimer density for bipartite lattices of dimensionality 2 <= d <= 7
• Curvature of the chiral phase transition line from the magnetic equation of state of (2+1)-flavor QCD
• Lee-Yang and Langer edge singularities from analytic continuation of scaling functions
• Exploring Lee-Yang and Fisher Zeros in the 2D Ising model through multipoint Padé approximants
• Searching for the QCD critical point using Lee-Yang edge singularities
• The spectrum of massive excitations of 3d 3-state Potts model and universality
• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Partition function zeros of quantum many-body systems
• Determination of melting temperature of hexagonal ice using Lee-Yang phase transition theory
• Yang-Lee Zeros of 2D Nearest-Neighbor Antiferromagnetic Ising Models: A Numerical Linked Cluster Expansion Study

Cited by in corpus (1)

• Finite-size effects and scaling properties of chiral and baryon-number fluctuations