Ground state solutions of inhomogeneous Bethe equations
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 show that, for this state, the new inhomogeneous term does not contribute to the Baxt...
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| Format: | Article |
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2018-06-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.4.6.030 |
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doaj-cdb34b63294f429ebd28e674ac8aa4732020-11-25T00:30:33ZengSciPostSciPost Physics2542-46532018-06-014603010.21468/SciPostPhys.4.6.030Ground state solutions of inhomogeneous Bethe equationsS. Belliard, A. FaribaultThe 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 show 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.https://scipost.org/SciPostPhys.4.6.030 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. Belliard, A. Faribault |
| spellingShingle |
S. Belliard, A. Faribault Ground state solutions of inhomogeneous Bethe equations SciPost Physics |
| author_facet |
S. Belliard, A. Faribault |
| author_sort |
S. Belliard, A. Faribault |
| title |
Ground state solutions of inhomogeneous Bethe equations |
| title_short |
Ground state solutions of inhomogeneous Bethe equations |
| title_full |
Ground state solutions of inhomogeneous Bethe equations |
| title_fullStr |
Ground state solutions of inhomogeneous Bethe equations |
| title_full_unstemmed |
Ground state solutions of inhomogeneous Bethe equations |
| title_sort |
ground state solutions of inhomogeneous bethe equations |
| publisher |
SciPost |
| series |
SciPost Physics |
| issn |
2542-4653 |
| publishDate |
2018-06-01 |
| description |
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 show 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. |
| url |
https://scipost.org/SciPostPhys.4.6.030 |
| work_keys_str_mv |
AT sbelliardafaribault groundstatesolutionsofinhomogeneousbetheequations |
| _version_ |
1725326227020972032 |