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Ground state solutions of inhomogeneous Bethe equations

by S. Belliard, A. Faribault

This Submission thread is now published as

Submission summary

Authors (as Contributors): Samuel Belliard
Submission information
Arxiv Link: (pdf)
Date accepted: 2018-05-23
Date submitted: 2018-05-07 02:00
Submitted by: Belliard, Samuel
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Mathematical Physics
Approaches: Theoretical, Computational


The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin-$\frac{1}{2}$ chain is investigated. Numerical calculations shows that, for this state, the new inhomogeneous term does not contribute to the Baxter T-Q equation in the thermodynamic limit. Different families of Bethe roots are identified and their large N behaviour are conjectured and validated.

Published as SciPost Phys. 4, 030 (2018)

Author comments upon resubmission

We thanks the referee for is valuable comments.

List of changes

Following the Report 1, We add news comments in the conclusion and did the Requested changes.

Reports on this Submission

Report 2 by Junpeng Cao on 2018-5-17 (Invited Report)

  • Cite as: Junpeng Cao, Report on arXiv:1803.09666v3, delivered 2018-05-17, doi: 10.21468/SciPost.Report.453


All my questions are responded and the manuscript is modified. I recommend this paper to be published.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
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Anonymous Report 1 on 2018-5-16 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:1803.09666v3, delivered 2018-05-16, doi: 10.21468/SciPost.Report.450


The authors have answered to the points I raised, the paper can be published

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

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