Quasi-local Edge Mode in XXX Spin Chain/Circuit with Interaction Boundary Defect
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914406768574464 |
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| author | Prosen, Tomaž |
| author_facet | Prosen, Tomaž |
| contents | We study the Heisenberg spin-1/2 model on a semi-infinite chain - or, equivalently, a trotterized unitary SU(2) symmetric six-vertex quantum circuit - with a boundary defect where the interaction between the two spins nearest the edge differs from that in the bulk. For sufficiently strong boundary interaction we explicitly construct a conserved operator quasi-localized near the boundary using a matrix-product ansatz. This quasi-local edge mode leads to non-decaying boundary correlation functions, corresponding to a nonzero boundary Drude weight. The correlation length of the edge mode diverges at a finite critical value of the boundary interaction, signaling a transition to ergodic boundary dynamics for subcritical interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17835 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasi-local Edge Mode in XXX Spin Chain/Circuit with Interaction Boundary Defect Prosen, Tomaž Statistical Mechanics Strongly Correlated Electrons Mathematical Physics Quantum Physics We study the Heisenberg spin-1/2 model on a semi-infinite chain - or, equivalently, a trotterized unitary SU(2) symmetric six-vertex quantum circuit - with a boundary defect where the interaction between the two spins nearest the edge differs from that in the bulk. For sufficiently strong boundary interaction we explicitly construct a conserved operator quasi-localized near the boundary using a matrix-product ansatz. This quasi-local edge mode leads to non-decaying boundary correlation functions, corresponding to a nonzero boundary Drude weight. The correlation length of the edge mode diverges at a finite critical value of the boundary interaction, signaling a transition to ergodic boundary dynamics for subcritical interactions. |
| title | Quasi-local Edge Mode in XXX Spin Chain/Circuit with Interaction Boundary Defect |
| topic | Statistical Mechanics Strongly Correlated Electrons Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2603.17835 |