Tilt-induced quasiperiodic potential on a square lattice produces a mobility-edge-embedded Hofstadter butterfly with fractal dimension 0.8-1.0.
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Adding a constant offset to the quasiperiodic potential in the diamond chain transforms anomalous mobility edges into conventional ones and demonstrates Avila's global theory fails to predict mobility edge locations.
Unbound states survive and narrow in energy in near-infinitely deep quasiperiodic potentials; in non-Hermitian versions they form mixed bound-unbound phases with exact Lyapunov-exponent boundaries.
citing papers explorer
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Mobility-edge-embedded Hofstadter butterfly from a tilt-induced quasiperiodic potential
Tilt-induced quasiperiodic potential on a square lattice produces a mobility-edge-embedded Hofstadter butterfly with fractal dimension 0.8-1.0.
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Inapplicability of Avila's theory in the diamond chain with quasiperiodic disorder
Adding a constant offset to the quasiperiodic potential in the diamond chain transforms anomalous mobility edges into conventional ones and demonstrates Avila's global theory fails to predict mobility edge locations.
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Unbound States and Mixed Bound--Unbound Phases in Near-Infinitely Deep Potentials
Unbound states survive and narrow in energy in near-infinitely deep quasiperiodic potentials; in non-Hermitian versions they form mixed bound-unbound phases with exact Lyapunov-exponent boundaries.