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The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties

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arxiv 2009.04995 v4 pith:XGBAXKLQ submitted 2020-09-10 cond-mat.stat-mech math-phmath.MP

Lenart Zadnik , Maurizio Fagotti This is my paper · ORCID
classification cond-mat.stat-mechmath-phmath.MP
keywords modeleffectivegroundhamiltonianleadingpropertiesspin-1state
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We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve it completely by means of a coordinate Bethe Ansatz that manifestly breaks the translational symmetry. We demonstrate the existence of exponentially many jammed states and estimate their stability under the leading correction to the effective Hamiltonian. Some ground state properties of the model are discussed.

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  1. Weak ergodicity breaking with isolated integrable sectors

    cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

    Isolated integrable subspaces can be embedded non-trivially into chaotic spin chains; all examples are perturbations of Hilbert-space-fragmented models.

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