Shape Deformation and Braid Statistics of Fractional Quantum Hall Quasiparticles

arXiv:2609.20985 · cond-mat.str-el, cond-mat.mes-hall · Submitted 2026-09-17 · Read on arXiv

cond-mat.str-el, cond-mat.mes-hall

Submitted: 2026-09-17

Updated: 2026-10-03

Code: https://github.com/mytraya-gattu/shape-deformation-braid-statistics-gattu-jain

Terminology

• Anyons — 47× in this paper · explained in 2 episodes
• Generalization — 4× in this paper · explained in 13 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Quantization — 2× in this paper · explained in 12 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Topological Order — 1× in this paper · explained in 2 episodes

Sources

• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Plasma Analogy and Non-Abelian Statistics for Ising-type Quantum Hall States
• Non-Abelian Anyons and Topological Quantum Computation
• Topological phase transition between composite-fermion and Pfaffian daughter states near {\nu} = 1/2 FQHS
• Deep-UV bleaching of charge disorder in encapsulated graphene
• Quantum Hall Liquids Coupled to Dynamical Electromagnetism
• Coherent Bunching of Anyons and their Dissociation in Interference Experiments
• Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States
• Edge Probes of Topological Order
• Modified interferometer to measure anyonic braiding statistics
• Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states
• Controlled localization of anyons in a graphene quantum Hall interferometer
• Braids and Beams: Exploring Fractional Statistics with Mesoscopic Anyon Colliders
• Quantum Hall interferometry at finite bias with multiple edge channels
• Topological vacuum bubble by anyon braiding
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Charge-statistics separation and probing non-Abelian states
• Hanbury-Brown and Twiss interference of anyons
• Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas
• Anyonic analogue of optical Mach-Zehnder interferometer

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