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.
Projective symmetry in hexagonal lattices with rational magnetic flux enforces novel non-zero-energy Dirac touchings at pi flux, constrains zero-energy Dirac points for general fluxes, and imposes distinct Chern number rules on gapped bands and multiplets.
Double-zero-index media expand uniform topological states beyond native interfaces in a 2D photonic Su-Schrieffer-Heeger lattice, breaking conventional bulk-edge correspondence as demonstrated by simulations and microwave experiments.
Driven-dissipative bosonic lattices enable reconstruction of a coarse-grained energy-resolved Středa marker that reveals quantum-geometric features of topological bands even under strong disorder.
citing papers explorer
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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.
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Topological constraints on the electronic band structure of hexagonal lattice in a magnetic field
Projective symmetry in hexagonal lattices with rational magnetic flux enforces novel non-zero-energy Dirac touchings at pi flux, constrains zero-energy Dirac points for general fluxes, and imposes distinct Chern number rules on gapped bands and multiplets.
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Free Extension of Topological States via Double-zero-index Media
Double-zero-index media expand uniform topological states beyond native interfaces in a 2D photonic Su-Schrieffer-Heeger lattice, breaking conventional bulk-edge correspondence as demonstrated by simulations and microwave experiments.
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Energy-Resolved Quantum Geometry from St\v{r}eda Response: Driven-Dissipative Bosonic Lattices and Disordered Systems
Driven-dissipative bosonic lattices enable reconstruction of a coarse-grained energy-resolved Středa marker that reveals quantum-geometric features of topological bands even under strong disorder.