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Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism

by Zheng Zhou, Dong-Xu Liu, Zheng Yan, Yan Chen, Xue-Feng Zhang

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Submission summary

Authors (as registered SciPost users): Xue-Feng Zhang · Zheng Zhou
Submission information
Preprint Link: scipost_202210_00084v1  (pdf)
Date accepted: 2022-11-11
Date submitted: 2022-10-26 15:32
Submitted by: Zhou, Zheng
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational


Incommensurability plays a critical role in many strongly correlated systems. In some cases, the origin of such exotic order can be theoretically understood in the framework of 1d line-like topological excitations known as ``quantum strings''. Here we study an extended transverse field Ising model on a triangular lattice. Using the large-scale quantum Monte Carlo simulations, we find that the spatial anisotropy can stabilize an incommensurate phase out of the commensurate clock order. Our results for the structure factor and the string density exhibit a linear relationship between incommensurate ordering wave vector and the density of quantum strings, which is reminiscent of hole density in under-doped cuprate superconductors. When introducing the next-nearest-neighbour interaction, we observe a quantum tricritical point out of the incommensurate phase. After carefully analyzing the ground state energies within different string topological sectors, we conclude that this tricriticality is non-trivially caused by effective long-range inter-string interactions with two competing terms following different decaying behaviours.

Author comments upon resubmission

We are thankful to the Referees for carefully reviewing the paper and providing useful comments and suggestions, which helped us to improve the manuscript.

Thanks to the comments of the Referees, we have made substantial improvement to the paper. The revisions made are listed below.

In the following, we give a point-by-point response to the comments of all Referees. We believe that the changes made have improved our paper and hope that the current manuscript will be considered suitable for a further consideration in SciPost Physics.

List of changes

1. We have improved the description for the construction of strings on Page 4 and Fig. 2;
2. We have improved the description for the string energy in Eq. (2) on Page 4;
3. We have added a footnote to justify the choice of ansatz on Page 9;
4. We have added a more detailed description on whether V_{J'} is attractive or repulsive on Page 9;
5. We have added a footnote to discuss the different interaction power in hardcore boson model on Page 10;
6. We have done a thorough proofreading to eliminate the errors.

Published as SciPost Phys. 14, 037 (2023)

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