### Abstract

Due to intrinsic frustrations of interaction, the 2d Ising model with competing ferromagnetic short-range nearest-neighbour and antiferromagnetic long-range dipole interactions possesses a rich phase diagram. The order of the phase transition from the striped h = 1 phase to the tetragonal phase that is observed in this model has been a subject of recent controversy. We address this question by using the partition function density analysis in the complex temperature plane. Our results support the second-order phase transition scenario. To measure the strength of the phase transition, we calculate the values of specific heat critical exponent α. Along with the space dimension, it appears to depend on the ratio of strengths of the short-range and long-range interactions.

Original language | English |
---|---|

Pages (from-to) | 334-338 |

Number of pages | 5 |

Journal | Ukrainian Journal of Physics |

Volume | 60 |

Issue number | 4 |

Publication status | Published - 2015 |

### Fingerprint

### Keywords

- Critical exponents
- Density of partition function zeros
- Frustrations
- Phase transition

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Ukrainian Journal of Physics*,

*60*(4), 334-338.

**On the phase diagram of the 2d ising model with frustrating dipole interaction.** / Sarkanych, P.; Holovatch, Yu; Kenna, R.

Research output: Contribution to journal › Article

*Ukrainian Journal of Physics*, vol. 60, no. 4, pp. 334-338.

}

TY - JOUR

T1 - On the phase diagram of the 2d ising model with frustrating dipole interaction

AU - Sarkanych, P.

AU - Holovatch, Yu

AU - Kenna, R.

PY - 2015

Y1 - 2015

N2 - Due to intrinsic frustrations of interaction, the 2d Ising model with competing ferromagnetic short-range nearest-neighbour and antiferromagnetic long-range dipole interactions possesses a rich phase diagram. The order of the phase transition from the striped h = 1 phase to the tetragonal phase that is observed in this model has been a subject of recent controversy. We address this question by using the partition function density analysis in the complex temperature plane. Our results support the second-order phase transition scenario. To measure the strength of the phase transition, we calculate the values of specific heat critical exponent α. Along with the space dimension, it appears to depend on the ratio of strengths of the short-range and long-range interactions.

AB - Due to intrinsic frustrations of interaction, the 2d Ising model with competing ferromagnetic short-range nearest-neighbour and antiferromagnetic long-range dipole interactions possesses a rich phase diagram. The order of the phase transition from the striped h = 1 phase to the tetragonal phase that is observed in this model has been a subject of recent controversy. We address this question by using the partition function density analysis in the complex temperature plane. Our results support the second-order phase transition scenario. To measure the strength of the phase transition, we calculate the values of specific heat critical exponent α. Along with the space dimension, it appears to depend on the ratio of strengths of the short-range and long-range interactions.

KW - Critical exponents

KW - Density of partition function zeros

KW - Frustrations

KW - Phase transition

UR - http://www.scopus.com/inward/record.url?scp=85033591042&partnerID=8YFLogxK

M3 - Article

VL - 60

SP - 334

EP - 338

JO - Ukrainian Journal of Physics

JF - Ukrainian Journal of Physics

SN - 2071-0186

IS - 4

ER -