Sufficient symmetry conditions for Topological Quantum Order
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Publication:3069230
DOI10.1073/pnas.0803726105zbMath1203.81154arXivcond-mat/0605316OpenAlexW2002248243WikidataQ37385976 ScholiaQ37385976MaRDI QIDQ3069230
Publication date: 24 January 2011
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0605316
Quantum equilibrium statistical mechanics (general) (82B10) Topological field theories in quantum mechanics (81T45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (15)
Higher-form symmetries and 3-group in axion electrodynamics ⋮ Topological axion electrodynamics and 4-group symmetry ⋮ Topological Quantum Computation ⋮ Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries ⋮ Higher-group structure in \(2n\)-dimensional axion-electrodynamics ⋮ BCF anomaly and higher-group structure in the low energy effective theories of mesons ⋮ Higher-form gauge symmetries in multipole topological phases ⋮ Fracton phases via exotic higher-form symmetry-breaking ⋮ Macroscopic length correlations in non-equilibrium systems and their possible realizations ⋮ Topological charge order and binding in a frustrated XY model and related systems ⋮ Constructing Landau framework for topological order: quantum chains and ladders ⋮ Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics ⋮ Absence of finite temperature phase transitions in the X-cube model and its \(\mathbb{Z}_p\) generalization ⋮ Gauge structures: from stabilizer codes to continuum models ⋮ Note on generalized symmetries, gapless excitations, generalized symmetry protected topological states, and anomaly
Cites Work
- A symmetry principle for topological quantum order
- Hidden symmetry breaking and the Haldane phase in \(S=1\) quantum spin chains
- Quantum fluctuations in quantum lattice systems with continuous symmetry
- Fault-tolerant quantum computation by anyons
- There are no Goldstone bosons in two dimensions
- Significance of Electromagnetic Potentials in the Quantum Theory
- INTERMEDIATE SYMMETRIES IN ELECTRONIC SYSTEMS: DIMENSIONAL REDUCTION, ORDER OUT OF DISORDER, DUALITIES, AND FRACTIONALIZATION
- Spectral gap and decay of correlations in U(1)-symmetric lattice systems in dimensions D<2
- Exact results of the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
- Singular or non-Fermi liquids
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