## Abstract

The phase diagram of an anisotropic ferromagnetic in a skew random magnetic field is studied as a function of the temperature, anisotropy and two random field components. At fixed high anisotropy, there exists a single ordered phase, bounded by surfaces of second- and first-order transitions separated by a line of tricritical points. As the anisotropy is decreased, the low-temperature tricritical points split into pairs of critical points (inside the ordered phase) and critical end points. The lines of critical points, critical end points and tricritical points meet at a critical point of fourth order. As the anisotropy decreases, this fourth-order critical point moves to lower transverse fields and higher temperatures until it reaches the temperature-longitudinal- field plane exactly at the new multicritical point found in the first paper in this series. For lower anisotropies there is no longer any first-order transition between the ordered and disordered phases. Instead, there exists a spin-flop 'shelf', inside the ordered phase, ending at a bicritical point. In the general four-parameter (temperature, anisotropy, longitudinal random field, transverse random field) space, the new multicritical point occurs where the lines of bicritical points and of fourth-order critical points meet. All of these results have been calculated explicitly using mean-field theory. Due to the random fields, the mean-field predictions for the fourth-order critical points break at 4^{2}/_{3} dimensions, and are replaced by renormalisation-group estimates. The results may be observed experimentally in random exchange antiferromagnets with a uniform magnetic field.

Original language | English |
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Article number | 008 |

Pages (from-to) | 3603-3619 |

Number of pages | 17 |

Journal | Journal of Physics C: Solid State Physics |

Volume | 14 |

Issue number | 25 |

DOIs | |

State | Published - 1 Dec 1981 |

Externally published | Yes |

## ASJC Scopus subject areas

- Condensed Matter Physics
- General Engineering
- General Physics and Astronomy