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Hopf Semimetals

cond-mat.mes-hall · 2023-09-25 · unverdicted · novelty 7.0

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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Showing 6 of 6 citing papers.

  • Obstructed Cooper pairs in flat band systems - weakly-coherent superfluids and exact spin liquids cond-mat.supr-con · 2024-11-26 · unverdicted · none · ref 44

    Obstructed Cooper pairs in the strong-coupling limit on line-graph lattices have identically vanishing leading-order kinetic energy due to frustration, yielding flat bosonic bands, zero superfluid stiffness, and an exact d-wave RVB spin liquid ground state at quarter filling via mapping to the Rokhs

  • Topological constraints on the electronic band structure of hexagonal lattice in a magnetic field cond-mat.mes-hall · 2025-12-26 · unverdicted · none · ref 13

    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.

  • Hopf Semimetals cond-mat.mes-hall · 2023-09-25 · unverdicted · none · ref 12

    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.

  • Periodic Behavior of Topology in Graphene with Nanohole Array cond-mat.mes-hall · 2026-05-14 · unverdicted · none · ref 45

    Nontrivial band topology in graphene with nanohole arrays appears periodically with superstructure size m (period 2 for triangular arrays, period 6 for honeycomb arrays).

  • Topological phonon analysis of the 2D buckled honeycomb lattice: an application to real materials cond-mat.mtrl-sci · 2022-11-23 · unverdicted · none · ref 35

    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.

  • Emergent chirality and enantiomeric selectivity in layered NbOX$_2$ crystals cond-mat.mtrl-sci · 2025-05-14 · unverdicted · none · ref 40

    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.