Theory of Topologically Ordered Superfluids in 2+1 Dimensions

arXiv:2610.10668 · cond-mat.str-el, cond-mat.supr-con, hep-th · Submitted 2026-10-07 · Read on arXiv

cond-mat.str-el, cond-mat.supr-con, hep-th

Submitted: 2026-10-07

Updated: 2026-10-07

Terminology

• Anyons — 30× in this paper · explained in 2 episodes
• Topological Order — 10× in this paper · explained in 2 episodes
• Anyon Condensation — 4× in this paper · explained in 1 episode
• Symmetry Breaking — 3× in this paper · explained in 3 episodes
• Anyon Proliferation — 1× in this paper · explained in 2 episodes
• Chern Number — 1× in this paper · explained in 4 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Topological Defects — 1× in this paper · explained in 2 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Fusion categories and homotopy theory
• Symmetry Fractionalization, Defects, and Gauging of Topological Phases
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Fractionalization patterns in strongly correlated electron systems: Spin-charge separation and beyond
• Extending Luttinger's theorem to Z(2) fractionalized phases of matter
• Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking
• Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
• Anyon superfluid in trilayer quantum Hall systems
• Charge-4$e$ Anyon Superconductor from Doping $\text{SU}(4)_1$ chiral spin liquid
• Non-Abelian topological superconductivity from melting Abelian fractional Chern insulators
• Topological Charge-2ne Superconductors
• Charge-6e superconductivity from doping SU(3) spin liquids
• Charge-$4e$ superconductor with parafermionic vortices: A path to universal topological quantum computation
• Gauging U(1) symmetry in (2+1)d topological phases
• Topological Goldstone phases of matter
• Gauging Lie group symmetry in (2+1)d topological phases
• Condensate induced transitions between topologically ordered phases
• Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
• Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
• Exotic non-Abelian anyons from conventional fractional quantum Hall states

Related papers

• Microscopic Constructions of the BF+AAB Topological Field Theory and Borromean-Rings Braiding in (3+1) Dimensions
• Transport in the emergent Bose liquid: Bad metal, strange metal, and weak insulator, all in one system
• Magnetic field induced phenomena in Kitaev spin liquids
• Electronic Structure and Dynamical Correlations in Antiferromagnetic BiFeO 3
• Dynamics and stability of U(1) spin liquids beyond mean-field theory: Triangular-lattice J 1 - J 2 Heisenberg model
• Topological Mixed States: Phases of Matter from Axiomatic Approaches