Thouless pumping in quasi-periodic lattices is governed by an emergent effective potential that produces a universal geometry-induced drift velocity determined by the quasi-Brillouin zone, reducing to an explicit formula for Chern numbers in periodic cases.
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Discrete translational invariance and an equidistant energy spectrum are necessary and sufficient for perfect chiral circulation in N-site quantum rings, from which a closed-form Hamiltonian follows.
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Thouless pumps and universal geometry-induced drift velocity in multi-sliding quasi-periodic lattices
Thouless pumping in quasi-periodic lattices is governed by an emergent effective potential that produces a universal geometry-induced drift velocity determined by the quasi-Brillouin zone, reducing to an explicit formula for Chern numbers in periodic cases.
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Chiral Quantum Transport with Perfect Circulation: From Floquet Engineering toAnyonic Dynamics
Discrete translational invariance and an equidistant energy spectrum are necessary and sufficient for perfect chiral circulation in N-site quantum rings, from which a closed-form Hamiltonian follows.