Granovskii-Zhedanov scar states in XYZ models are described via spectrum-generating algebra with perturbative and optimized constructions, and lattice-independent versions exist only on specific uniform and non-uniform higher-dimensional lattices.
The type-1 and the type-2 deforming operators are defined by [73], Wtype-1 = a |↑⟩ ⟨↑| + b |↓⟩ ⟨↓| , W type-2 = a |↑⟩ ⟨↑| + b |↓⟩ ⟨↓| eˆσ+ f ˆσ− c |↑⟩ ⟨↑| + d |↓⟩ ⟨↓|
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Granovskii-Zhedanov Scars of XYZ Models: Modern Algebraic Perspectives and Realization in Higher Dimensional Lattices
Granovskii-Zhedanov scar states in XYZ models are described via spectrum-generating algebra with perturbative and optimized constructions, and lattice-independent versions exist only on specific uniform and non-uniform higher-dimensional lattices.