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Generalized Integrable Boundary States in XXZ and XYZ Spin Chains
by Xin Qian, Xin Zhang
Submission summary
| Authors (as registered SciPost users): | Xin Qian |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202601_00068v1 (pdf) |
| Date submitted: | Jan. 29, 2026, 1:36 p.m. |
| Submitted by: | Xin Qian |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We investigate integrable boundary states in the anisotropic Heisenberg chain under periodic or twisted boundary conditions, for both even and odd system lengths. Our work demonstrates that the concept of integrable boundary states can be readily generalized. For the XXZ spin chain, we present a set of factorized integrable boundary states using the KT-relation, and these states are also applicable to the XYZ chain. It is shown that a specific set of eigenstates of the transfer matrix can be selected by each boundary state, resulting in an explicit selection rule for the Bethe roots.
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- Provide a novel and synergetic link between different research areas.
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- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing