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An Ising model on a 3D honeycomb zigzag-ladder lattice: a solution to the ground-state problem
by Yu. I. Dublenych, O. A. Petrenko
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Yuriy Dublenych · Oleg Petrenko |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202107_00007v3 (pdf) |
| Date accepted: | 2022-08-11 |
| Date submitted: | 2022-08-02 16:43 |
| Submitted by: | Dublenych, Yuriy |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
A complex, seven-parameter ground-state problem for an Ising model on a 3D honeycomb zigzag-ladder lattice, containing two types of magnetic sites, is considered in the presence of an external field using the method of basic rays and basic sets of cluster configurations. It is shown that the geometrical frustration due to the presence of triangle elements leads to the emergence of a large variety of magnetic phases, the majority of which are highly degenerate. The obtained theoretical results are used to elucidate the sequence of phase transitions in the family of rare-earth oxides with a honeycomb zigzag-ladder lattice. New phases predicted by our model and observed experimentally do not appear in previously considered simpler models for noninteracting zigzag-ladders.
Author comments upon resubmission
We made almost all minor revisions to the manuscript requested by the Third Referee.
Sincerely yours,
Yuriy Dublenych.
List of changes
We did not change the title since the paper provides sufficient motivation in the abstract as well as in the main text.
We corrected the errors pointed out by the Third Referee and added a few sentences.
Section 2.3
Basic vector $\mathbf{r}_{1}^{\star}$, for instance, and the corresponding basic set of cluster configurations can be obtained from vector $\mathbf{r}_{1}$ and its basic set of cluster configurations by using the ${}^\star$ transformation.
Section 2.7
When both the interaction parameter values and the external fields, $h_1$ and $h_2$, are fixed we have a single point on the phase diagram. By continuously varying the value (and possibly the direction) of an external field, instead of a point, we generate a line of transitions on the phase diagram. For instance, increasing magnetic field along the $a$ axis in SrEr$_2$O$_4$ that corresponds to a passage along the $h_1$ axis in Fig.~\ref{fig14} (left middle panel) we have the following sequence of the phases: 13, 23, 15, $\tilde 6$ and 4 (see also Fig.~\ref{fig15}).
Published as SciPost Phys. Core 5, 047 (2022)
Reports on this Submission
Report #1 by Anonymous (Referee 7) on 2022-8-3 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202107_00007v3, delivered 2022-08-03, doi: 10.21468/SciPost.Report.5485
Weaknesses
The application to the Sr$RE_2$O$_4$ and Ba$RE_2$O$_4$ compounds may remain controversial, but this is well document in previous reports.
Report
I quickly went over the revised manuscript and would like to thank the authors for yet another round of revisions. It is a pleasure to now recommend publication in SciPost Physics Core. Nevertheless, a few further details remain that the authors might still wish to take into consideration, see "Requested changes".
Requested changes
The following items of my previous report have not or only partially been addressed:
1- The title is good. However, the abstract no longer refers to the compounds. Without these, I see no real motivation for considering "a complex, seven-parameter ground-state problem for an Ising model on a 3D honeycomb zigzag-ladder lattice, containing two types of magnetic sites, ... in the presence of an external field". Furthermore, for such a complex seven-parameter model, "the emergence of a large variety of magnetic phases" may not come as a surprise. I therefore invite the authors once again to reconsider the abstract.
3- I still have the feeling that a remark like that the "${\bf r}$" are labels for basic rays is missing.
7- Eq. (7) has improved, but I still think that this would be a case for a LaTeX "cases" environment.