Classification of symmetric polynomials of infinite variables: Construction of Abelian and non-Abelian quantum Hall states

DOI10.1103/PhysRevB.77.235108zbMath1243.81246arXiv0801.3291OpenAlexW2170982821WikidataQ27343077 ScholiaQ27343077MaRDI QIDQ2901552

Zhenghan Wang, Xiao-Gang Wen

Publication date: 31 July 2012

Published in: Physical Review B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3291

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (6)

Jack polynomial fractional quantum Hall states and their generalizations ⋮ A general approach to quantum Hall hierarchies ⋮ Spin chain description of rotating bosons at ν = 1 ⋮ On classification of modular tensor categories ⋮ \(\mathbb{Z}_k^{(r)}\)-algebras, FQH ground states, and invariants of binary forms ⋮ Quantum Hall ground states and regular graphs

Cites Work

• Anyons in an exactly solved model and beyond
• Many-body systems with nonabelian statistics
• A class of \(P,T\)-invariant topological phases of interacting electrons
• Fault-tolerant quantum computation by anyons
• Chiral operator product algebra hidden in certain fractional quantum Hall wave functions
• Chiral operator product algebra and edge excitations of a fractional quantum Hall droplet
• Non-Abelian statistics in the fractional quantum Hall states
• Topological quantum computation

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