Anyonic loops in three-dimensional spin liquid and chiral spin liquid

DOI10.1016/j.nuclphysb.2008.06.009zbMath1190.81065arXiv0712.4231OpenAlexW2066530324MaRDI QIDQ982723

Yue Yu, Tieyan Si

Publication date: 8 July 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.4231

zbMATH Keywords

Kitaev-type's spin coupling

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of liquids (82D15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum coherence, entanglement, quantum correlations (81P40) Special quantum systems, such as solvable systems (81Q80)

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Cites Work

• Anyons in an exactly solved model and beyond
• Classical and quantum conformal field theory
• Quantum field theory and the Jones polynomial
• Fault-tolerant quantum computation by anyons
• Topological Computation without Braiding
• A statistical mechanics view on Kitaev's proposal for quantum memories
• Exact results of the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations