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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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.
Nontrivial band topology in graphene with nanohole arrays appears periodically with superstructure size m (period 2 for triangular arrays, period 6 for honeycomb arrays).
Symmetry and first-principles analysis of 2D buckled honeycomb phonons identifies nine topological phases but places real Si, Ge, P, As, Sb crystals in the trivial phase, with Monte Carlo showing why topological realizations are physically constrained.
First-principles calculations identify a C2/m intermediate phase linking achiral Immm and chiral C2 structures in NbOX2, with electric fields shown to lift enantiomer degeneracy for selective handedness control.
citing papers explorer
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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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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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Periodic Behavior of Topology in Graphene with Nanohole Array
Nontrivial band topology in graphene with nanohole arrays appears periodically with superstructure size m (period 2 for triangular arrays, period 6 for honeycomb arrays).
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Topological phonon analysis of the 2D buckled honeycomb lattice: an application to real materials
Symmetry and first-principles analysis of 2D buckled honeycomb phonons identifies nine topological phases but places real Si, Ge, P, As, Sb crystals in the trivial phase, with Monte Carlo showing why topological realizations are physically constrained.
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Emergent chirality and enantiomeric selectivity in layered NbOX$_2$ crystals
First-principles calculations identify a C2/m intermediate phase linking achiral Immm and chiral C2 structures in NbOX2, with electric fields shown to lift enantiomer degeneracy for selective handedness control.
- Obstructed Cooper pairs in flat band systems -- weakly-coherent superfluids and exact spin liquids