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Fractional magnetization plateaux of a spin-1/2 Heisenberg model on the Shastry-Sutherland lattice: effect of quantum XY interdimer coupling

by T. Verkholyak, J. Strecka

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Taras Verkholyak
Submission information
Preprint Link: https://arxiv.org/abs/2104.05797v4  (pdf)
Date accepted: 2021-12-16
Date submitted: 2021-11-15 09:22
Submitted by: Verkholyak, Taras
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
Approach: Theoretical

Abstract

Spin-1/2 Heisenberg model on the Shastry-Sutherland lattice is considered within the many-body perturbation theory developed from the exactly solved spin-1/2 Ising-Heisenberg model with the Heisenberg intradimer and Ising interdimer interactions. The former model is widely used for a description of magnetic properties of the layered compound SrCu$_2$(BO$_3$)$_2$, which exhibits a series of fractional magnetization plateaux at sufficiently low temperatures. Using the novel type of many-body perturbation theory we have found the effective model of interacting triplet excitations with the extended hard-core repulsion, which accurately recovers 1/8, 1/6 and 1/4 magnetization plateaux for moderate values of the interdimer coupling. A possible existence of a striking quantum phase of bound triplons is also revealed at low enough magnetic fields.

Author comments upon resubmission

Dear Editor,

We are grateful to the Referees for the careful reading and valuable remarks and suggestions. We have taken into account and addressed most of the remarks in the revised version of the manuscript, whereas we provided the rebuttal against a few critical comments. We also submitted our responses to the Referee reports and the list of changes.

We herewith submit a revised version of our manuscript which we hope is suitable for the publication in SciPost Physics.

Yours sincerely,
Taras Verkholyak, Jozef Strečka

List of changes

page 6:
We changed J' to J'_{xy} in Eq.(5).

page 7:
The text after Eq.(5) is modified.

page 8:
We added the discussion regarding the correlated hopping terms obtained within previously considered perturbative treatments.

page 9:
Figure 6: we added the definition for the arrows to the figure caption.

page 12:
We changed the last sentence of Sec. 3 due to the remark of referee 1.

pages 15-16:
The text after Eq. (14) has been extended.

page 16:
Fig. 11 has been modified to show the possible configuration for the stripe-like phase of bound triplons.
The caption of Fig.11 has been extended.

Published as SciPost Phys. 12, 056 (2022)


Reports on this Submission

Report #3 by Anonymous (Referee 11) on 2021-11-18 (Invited Report)

Report

I am happy with the answers to my questions and the corresponding changes to the paper.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Report #2 by Anonymous (Referee 10) on 2021-11-17 (Invited Report)

Report

The authors' minimal replies and alterations do nothing substantive to address the multiple issues described in detail in the previous 2 rounds of refereeing. The manuscript remains unsuitable for publication.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Report #1 by Anonymous (Referee 9) on 2021-11-17 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:2104.05797v4, delivered 2021-11-17, doi: 10.21468/SciPost.Report.3861

Report

In my opinion, the manuscript has been improved sufficiently to warrant
publication. The issues I had raised previously have been resolved.
Of course, the presentation can always be even clearer, but this would
require a total re-shaping of the article. Eventually, the authors are responsible
for their text.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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