Temperature-field phase diagram of the two-dimensional dipolar Ising ferromagnet

Hisato Komatsu, Yoshihiko Nonomura, Masamichi Nishino

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3 Citations (Scopus)


We study field-induced phase transitions in the two-dimensional dipolar Ising ferromagnet with a specific ratio between the exchange and dipolar constants, δ=1, which exhibits a stripe-ordered phase with the width of one lattice unit at low temperatures without magnetic field. By using a mean-field (MF) approximation and a Monte Carlo (MC) method with the stochastic-cutoff algorithm, which is an O(N) simulation method, we show the temperature-field phase diagrams. In the MC study the orientational order and the structure factor are evaluated. Second-order transition points are determined by a finite-size-scaling analysis and first-order transition points are identified by the analysis of the energy histogram. Although both the MF and MC phase diagrams consist of wide regions of several stripe-ordered phases and narrow regions between them characterized by complicated stripe patterns, they show qualitative and quantitative differences in possible phases and phase boundaries. In the MF phase diagram, three main stripe-ordered phases exhibit a nesting structure, while in the MC phase diagram, two main stripe-ordered phases are located separately, which causes a characteristic field-induced reentrant transition of the orientational order. To our knowledge, this is the first observation of the reentrant phase transition in the dipolar Ising ferromagnet.

Original languageEnglish
Article number062126
JournalPhysical Review E
Issue number6
Publication statusPublished - Dec 18 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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