The paper proves asymptotic closeness of eigenvalues to the Stark ladder and power-law localization of eigenfunctions and the associated evolution for long-range discrete Dirac operators with Stark potential.
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2026 2verdicts
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Power-law SULE yields equidistribution of localization centers, bounds on eigenfunction correlators with a converse implication, and enables power-law localization for long-range operators with sublinear Stark potentials.
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Localization and eigenvalue asymptotics for long-range discrete Dirac operators with Stark potential
The paper proves asymptotic closeness of eigenvalues to the Stark ladder and power-law localization of eigenfunctions and the associated evolution for long-range discrete Dirac operators with Stark potential.
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Eigenfunction correlators under power-law SULE and localization for lattice operators
Power-law SULE yields equidistribution of localization centers, bounds on eigenfunction correlators with a converse implication, and enables power-law localization for long-range operators with sublinear Stark potentials.