Matrix Density Waves and Fractionally Charged Point Defects in Flavor Weyl Semimetals

arXiv:2609.26957 · cond-mat.str-el, cond-mat.mes-hall, cond-mat.stat-mech, hep-th · Submitted 2026-09-22 · Read on arXiv

cond-mat.str-el, cond-mat.mes-hall, cond-mat.stat-mech, hep-th

Submitted: 2026-09-22

Updated: 2026-09-30

Terminology

• Core — 30× in this paper · explained in 2 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Decoupling — 4× in this paper · explained in 2 episodes
• Supplemental Material — 4× in this paper
• Symmetry Breaking — 3× in this paper · explained in 3 episodes
• Topological Defects — 3× in this paper · explained in 2 episodes
• Chern Number — 2× in this paper · explained in 4 episodes
• Domain Walls — 2× in this paper · explained in 2 episodes
• Anisotropy — 1× in this paper · explained in 3 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• Chiral Dirac-like fermion in spin-orbit-free antiferromagnetic semimetals
• Non-Abelian anomalies in multi-Weyl semimetals
• Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
• Topologically Alice Strings and Monopoles
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Topological Defects in Spin Density Waves
• Spin correlation and Discrete symmetry in Spinor Bose-Einstein Condensates
• How to create Alice string (half-quantum vortex) in a vector Bose-Einstein condensate
• Monopole core instability and Alice rings in spinor Bose-Einstein condensates
• Monopoles and fractional vortices in chiral superconductors
• Chiral Topological Insulators, Superconductors and other competing orders in three dimensions
• Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension
• Abe homotopy classification of topological excitations under the topological influence of vortices

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