SC: superconductivity intertwined with topological order

arXiv:2610.10679 · cond-mat.str-el, cond-mat.mes-hall, cond-mat.stat-mech, cond-mat.supr-con, math-ph, math.MP · Submitted 2026-10-07 · Read on arXiv

cond-mat.str-el, cond-mat.mes-hall, cond-mat.stat-mech, cond-mat.supr-con, math-ph, math.MP

Submitted: 2026-10-07

Updated: 2026-10-07

Terminology

• Anyons — 70× in this paper · explained in 2 episodes
• Anyon Superconductivity — 17× in this paper · explained in 1 episode
• Topological Order — 12× in this paper · explained in 2 episodes
• Anyon Condensation — 11× in this paper · explained in 1 episode
• Symmetry Breaking — 2× in this paper · explained in 3 episodes
• Anyon Proliferation — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes

Sources

• Fractionalized topological d+id superconductivity in the Yao-Lee-Kondo model
• Topological Charge-2ne Superconductors
• Non-Abelian topological superconductivity from melting Abelian fractional Chern insulators
• Charge-$4e$ superconductor with parafermionic vortices: A path to universal topological quantum computation
• Charge-6e superconductivity from doping SU(3) spin liquids
• Charge-4e/6e superconductivity and chiral metal from 3D chiral superconductor
• Primary charge-4e superconductivity from doping a featureless Mott insulator
• Charge-4$e$ Anyon Superconductor from Doping $\text{SU}(4)_1$ chiral spin liquid
• High-temperature charge-4e superconductivity in SU(4) interacting fermions
• Quantum Charge-4e Superconductivity and Deconfined Pseudocriticality in the Attractive SU(4) Hubbard Model
• A Unified Categorical Description of Quantum Hall Hierarchy and Anyon Superconductivity
• Peeling off Abelian Anyons and Proliferation Transitions
• Classification of modular data up to rank 12
• Projective non-Abelian Statistics of Dislocation Defects in a Z_N Rotor Model
• Characterization and Classification of Fermionic Symmetry Enriched Topological Phases
• Gauging in superconductors and other electronic systems
• The Witt group of non-degenerate braided fusion categories
• Doping lattice non-abelian quantum Hall states
• Robust superconductivity upon doping chiral spin liquid and Chern insulators in a Hubbard-Hofstadter model
• Fractionalized metals from doped anyons: Application to tMoTe2

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