Hopf semimetals are 4D gapless phases constructed via unstable homotopy maps from T^3 to S^2 that host nodal lines carrying Hopf flux along with unique gapless Fermi-arc, drumhead, Fermi-surface, and corner states.
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Topological surface phonons in isostatic lattices with z=2d become finite-frequency surface phonons in superisostatic lattices with z>2d when next-nearest-neighbor springs or bending forces are added.
In an off-diagonal Aubry-André-Harper chain, transport signatures distinguish edge states, in-band bulk states, and band-edge bulk states by their system-size dependence, resonance broadening, and dephasing sensitivity.
citing papers explorer
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Hopf Semimetals
Hopf semimetals are 4D gapless phases constructed via unstable homotopy maps from T^3 to S^2 that host nodal lines carrying Hopf flux along with unique gapless Fermi-arc, drumhead, Fermi-surface, and corner states.
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Signatures of Topological Phonons in Superisostatic Lattices
Topological surface phonons in isostatic lattices with z=2d become finite-frequency surface phonons in superisostatic lattices with z>2d when next-nearest-neighbor springs or bending forces are added.
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Transport characteristics of bulk and edge states in an off-diagonal Aubry--Andr\'e--Harper chain
In an off-diagonal Aubry-André-Harper chain, transport signatures distinguish edge states, in-band bulk states, and band-edge bulk states by their system-size dependence, resonance broadening, and dephasing sensitivity.