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Quasi-local Edge Mode in XXX Spin Chain/Circuit with Interaction Boundary Defect
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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.
Forward citations
Cited by 2 Pith papers
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Exact strong zero modes are generic in integrable spin systems with large anisotropy
Exact strong zero modes arise generically in integrable spin systems with large anisotropy from quasi-periodicity of the R-matrix and tracelessness of the K-matrix.
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Exact strong zero modes are generic in integrable spin systems with large anisotropy
Exact strong zero modes arise generically in integrable anisotropic spin models from quasi-periodicity of R-matrices and tracelessness of K-matrices, unifying known cases and predicting new ones.
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