Stripe-tetragonal phase transition in the 2D Ising model with dipole interactions: Partition-function zeros approach

Abstract

We have performed multicanonical simulations to study the critical behavior of the two-dimensional Ising model with dipole interactions. This study concerns the thermodynamic phase transitions in the range of the interaction δwhere the phase characterized by striped configurations of width h=1 is observed. Controversial results obtained from local update algorithms have been reported for this region, including the claimed existence of a second-order phase transition line that becomes first order above a tricritical point located somewhere between δ=0.85 and 1. Our analysis relies on the complex partition function zeros obtained with high statistics from multicanonical simulations. Finite size scaling relations for the leading partition function zeros yield critical exponents νthat are clearly consistent with a single second-order phase transition line, thus excluding such tricritical point in that region of the phase diagram. This conclusion is further supported by analysis of the specific heat and susceptibility of the orientational order parameter.

arXiv commentto appear in Phys. Rev. E

References in corpus (15)

• Multicanonical Simulations Step by Step
• Partition Function Zeros and Finite Size Scaling of Helix-Coil Transitions in a Polypeptide
• Ising models with long-range dipolar and short-range ferromagnetic interactions
• Ising nematic phase in ultra-thin magnetic films: a Monte Carlo study
• Phase diagram of an Ising model with long-range frustrating interactions: a theoretical analysis
• Phase diagram of an Ising model for ultrathin magnetic films
• Striped phases in two dimensional dipole systems
• Spectral Density Study of the SU(3) Deconfining Phase Transition
• Checkerboards, stripes and corner energies in spin models with competing interactions
• Slow dynamics in a 2D Ising model with competing interactions
• Numerical comparison of two approaches for the study of phase transitions in small systems
• A new look at the 2D Ising model from exact partition function zeros for large lattice sizes
• Interplay between coarsening and nucleation in an Ising model with dipolar interactions
• Phase transitions and autocorrelation times in two-dimensional Ising model with dipole interactions
• On the absence of ferromagnetism in typical 2D ferromagnets

Cited by in corpus (6)

• Identifying transitions in finite systems by means of partition function zeros and microcanonical inflection-point analysis: A comparison for elastic flexible polymers
• Turing-like patterns in an asymmetric dynamic Ising model
• Phase diagram of the two-dimensional dipolar Heisenberg model with the Dzyaloshinskii-Moriya interaction and the Ising anisotropy
• Anisotropy-temperature phase diagram for the two-dimensional dipolar Heisenberg model with and without magnetic field
• Temperature-field phase diagram of the two-dimensional dipolar Ising ferromagnet
• Phase diagram of the dipolar Ising ferromagnet on a kagome lattice