Novel ASEP-inspired solutions of the Yang-Baxter equation
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| Publication date | 04-10-2024 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Article number | 375201 |
| Volume | Issue number | 57 | 37 |
| Number of pages | 29 |
| Organisations |
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| Abstract | We explore the algebraic structure of a particular ansatz of the Yang-Baxter equation (YBE), which is inspired by the Bethe Ansatz treatment of the asymmetric simple exclusion process spin-model. Various classes of Hamiltonian density arriving from the two types of R-matrices are found, which also appear as solutions of the constant YBE. We identify the idempotent and nilpotent categories of such constant R-matrices and perform a rank-1 numerical search for the lowest dimension. A summary of the final results reveals general non-Hermitian spin-1/2 chain models. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1088/1751-8121/ad6f81 |
| Downloads |
Barik_2024_J._Phys._A__Math._Theor._57_375201
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