English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A large part of the interest in magnets with frustrated antiferromagneticinteractions comes from the many new phases found in applied magnetic field. Inthis Article, we explore some of the new phases which arise in a model withfrustrated ferromagnetic interactions, the $J_1-J_2-J_3$ Heisenberg model on asquare lattice. Using a combination of classical Monte-Carlo simulation andspin-wave theory, we uncover behaviour reminiscent of some widely-studiedfrustrated antiferromagnets, but with a number of new twists. We firstdemonstrate that, for a suitable choice of parameters, the phase diagram as afunction of magnetic field and temperature is nearly identical to that of theHeisenberg antiferromagnet on a triangular lattice, including the celebrated1/3-magnetisation plateau. We then examine how this phase diagram changes whenthe model is tuned to a point where the classical ground--state is highlydegenerate. In this case, two new phases emerge; a classical,finite-temperature spin-liquid, characterised by a "ring" in the spinstructure--factor $\mathcal{S}({\mathbf q})$; and a vortex crystal, amultiple-Q state with finite magnetisation, which can be viewed as an orderedlattice of magnetic vortices. All of these new phases persist for a wide rangeof magnetic field. We discuss the relationship between these results andpublished studies of frustrated antiferromagnets, together with some of thematerials where these new phases might be observed in experiment.

Novel phases in a square-lattice frustrated ferromagnet : 1/3-magnetisation plateau, helicoidal spin-liquid and vortex crystal