A sixteen-fold family of (2+1)D fermionic topological orders is identified, characterized by the mod-16 anomaly of a Z2 one-form symmetry and constructed as gapped boundaries of 3+1D fermionic SPT phases.
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Majorana zero modes in the Kitaev chain protect boundary quantum Fisher information from delocalization, maintaining a nonzero plateau for exponentially long times.
Interactions in the generalized SSH model produce interacting SPT phases, a sublattice-density-breaking phase, CDW phases, Luttinger liquids, and a gapless SPT phase with protected edge states.
Derives exact bulk-boundary correspondence allowing extraction of edge-mode degeneracy from bulk entanglement spectrum in critical free-fermion systems of arbitrary dimensions.
SMG is compatible with lattice QCD under stated criteria; meson mass ratios probe the SMG UV fixed point and Goldstone tetraquarks signal type-II SMG.
The work constructs an equivalence class of 3D lattice models realizing single Weyl fermions through symmetry-protected topological states and controlled symmetry breaking, linking them to gapless phases in superconductors and superfluids.
citing papers explorer
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Sixteen-Fold Way for Fermionic Topological Orders
A sixteen-fold family of (2+1)D fermionic topological orders is identified, characterized by the mod-16 anomaly of a Z2 one-form symmetry and constructed as gapped boundaries of 3+1D fermionic SPT phases.
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Topological protection of local quantum Fisher information
Majorana zero modes in the Kitaev chain protect boundary quantum Fisher information from delocalization, maintaining a nonzero plateau for exponentially long times.
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Quantum phases in the interacting generalized Su-Schrieffer-Heeger model
Interactions in the generalized SSH model produce interacting SPT phases, a sublattice-density-breaking phase, CDW phases, Luttinger liquids, and a gapless SPT phase with protected edge states.
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Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
Derives exact bulk-boundary correspondence allowing extraction of edge-mode degeneracy from bulk entanglement spectrum in critical free-fermion systems of arbitrary dimensions.
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A Guide to Symmetric Mass Generation in Lattice-QCD
SMG is compatible with lattice QCD under stated criteria; meson mass ratios probe the SMG UV fixed point and Goldstone tetraquarks signal type-II SMG.
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Equivalence class of Emergent Single Weyl fermion lattice models in 3 dimensions: gapless superconductors and superfluids versus chiral fermions
The work constructs an equivalence class of 3D lattice models realizing single Weyl fermions through symmetry-protected topological states and controlled symmetry breaking, linking them to gapless phases in superconductors and superfluids.