A new Zitterbewegung velocity is identified from the quantum Liouville equation using out-of-phase components of the quantum geometric tensor; it resolves the position-shift paradox upon integration of semiclassical equations and connects to the minimum conductivity of massless Dirac fermions.
Resta, Reviews of modern physics66, 899 (1994)
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Isolated bands with quantum metric show a disorder-induced localization length plateau proportional to the quantum metric length, protected until disorder exceeds the band gap.
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Quantum Metric Localization and Quantum Metric Protection
Isolated bands with quantum metric show a disorder-induced localization length plateau proportional to the quantum metric length, protected until disorder exceeds the band gap.