3-state Hamiltonians associated to solvable 33-vertex models (Q2825566)
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scientific article; zbMATH DE number 6638395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 3-state Hamiltonians associated to solvable 33-vertex models |
scientific article; zbMATH DE number 6638395 |
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3-state Hamiltonians associated to solvable 33-vertex models (English)
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13 October 2016
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Bethe ansatz
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3-state Hamiltonian
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Yang-Baxter equation
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The goal of the paper consists in classifying models which are solvable by the coordinate Bethe ansatz. The authors study 3-state Hamiltonians with 33 non-vanishing entries, or 33-vertex models, where only one global charge with degenerate eigenvalues exists and each site possesses three internal degrees of freedom. In this case the local Hamiltonian is a \(9\times9\) matrix. Necessary and sufficient conditions for the Hamiltonian to be solvable are established.
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