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Spin-liquid behaviour and the interplay between Pokrovsky-Talapov and Ising criticality in the distorted, triangular-lattice, dipolar Ising antiferromagnet

by Andrew Smerald, Frederic Mila

Submission summary

As Contributors: Frédéric Mila · Andrew Smerald
Arxiv Link: (pdf)
Date accepted: 2018-09-17
Date submitted: 2018-06-29 02:00
Submitted by: Smerald, Andrew
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Statistical and Soft Matter Physics
Approaches: Theoretical, Computational


We study the triangular-lattice Ising model with dipolar interactions, inspired by its realisation in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate temperatures, and that its behaviour can be tuned by temperature and/or a small lattice distortion between a string Luttinger liquid and a domain-wall-network state. At low temperature there is a transition into a magnetically ordered phase, which can be first-order or continous with a crossover in the critical behaviour between Pokrovsky-Talapov and 2D-Ising universality. When the Pokrovsky-Talapov criticality dominates, the transition is essentially of the Kasteleyn type.

Ontology / Topics

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Dipolar interactions Domain walls Ising criticality Kasteleyn transition Magnetic phases Nanomagnets Pokrovsky-Talapov transition Spin liquids Tomonaga-Luttinger liquids

Published as SciPost Phys. 5, 030 (2018)

Author comments upon resubmission

List of changes

The manuscript has been substantially reorganised, as set out in the response to the referees.

Reports on this Submission

Anonymous Report 2 on 2018-9-9 (Invited Report)


This paper has been very extensively revised in Version 2. In particular, the main results are summarised reasonably concisely in the body of the paper, with much additional material moved to appendices. I think this reorganisation will make the paper accessible to a broader readership.

The authors have also responded appropriately to suggestions and requests by both referees, in each instance either making changes or explaining why their original formulation is justified.

I recommend this version for publication as a SciPost paper.

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Anonymous Report 1 on 2018-7-12 (Invited Report)


The resubmission amounts to a substantial reworking of the original manuscript, with significant reorganization of the text and some new results. I agree that the new structure, with most of the results for the toy models moved to appendices, helps to clarify the main thrust of the work. I am also happy with the authors' responses to my comments and those of the other referee, and I believe that the paper is now ready for publication.

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