Isolated bands with quantum metric exhibit a disorder-induced localization length plateau at approximately twice the quantum metric length, protected until disorder exceeds the band gap.
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Numerical simulations of two incommensurate tight-binding chains reveal a mobility edge with abrupt localization onset in higher-energy states, enhanced by weak magnetic fields but reversed by strong fields.
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Quantum Metric Localization and Quantum Metric Protection
Isolated bands with quantum metric exhibit a disorder-induced localization length plateau at approximately twice the quantum metric length, protected until disorder exceeds the band gap.
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Quantum localization in incommensurate tight-binding chains
Numerical simulations of two incommensurate tight-binding chains reveal a mobility edge with abrupt localization onset in higher-energy states, enhanced by weak magnetic fields but reversed by strong fields.