A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
Symmetry Breaking from Monopole Condensation in QED 3
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Critical points between obstructed atomic insulators in (2+1)D can realize stable QED3 when microscopic lattice symmetries suppress monopoles.
Lattice DQMC simulations of mixed QED3 with flavor chemical potential identify a chiral flux phase featuring spontaneous emergent gauge flux, broken U(1)m symmetry, and relativistic Landau levels for Dirac fermions.
Superconductors are bosonic at low energy yet carry a gravito-magnetic anomaly from fermion parity gauging that forbids trivial massive phases in 3D and 4D.
citing papers explorer
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Lattice chiral symmetry from bosons in 3+1d
A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
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When Wannier centers jump: Critical points between atomic insulating phases
Critical points between obstructed atomic insulators in (2+1)D can realize stable QED3 when microscopic lattice symmetries suppress monopoles.
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Emergent gauge flux in mixed QED$_3$ with flavor chemical potential: application to magnetized U(1) Dirac spin liquids
Lattice DQMC simulations of mixed QED3 with flavor chemical potential identify a chiral flux phase featuring spontaneous emergent gauge flux, broken U(1)m symmetry, and relativistic Landau levels for Dirac fermions.
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Gauging in superconductors and other electronic systems
Superconductors are bosonic at low energy yet carry a gravito-magnetic anomaly from fermion parity gauging that forbids trivial massive phases in 3D and 4D.