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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Engineering zigzag edges in graphitic structures yields four topological classes whose domain intersections produce massless corner states, plus massive localized states with angular momentum at smooth walls.
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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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Bound States in Second-order Topological Graphitic Structures
Engineering zigzag edges in graphitic structures yields four topological classes whose domain intersections produce massless corner states, plus massive localized states with angular momentum at smooth walls.