An invariant of symmetry protected topological phases with on-site finite group symmetry for two-dimensional fermion systems
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Publication:2172816
DOI10.1007/S00220-022-04438-2OpenAlexW3205376154MaRDI QIDQ2172816
Publication date: 16 September 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.04672
Applications of selfadjoint operator algebras to physics (46L60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (2)
Rigorous index theory for one-dimensional interacting topological insulators ⋮ 2D Fermionic SPT with CRT symmetry
Cites Work
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- Automorphic equivalence within gapped phases of quantum lattice systems
- Some simple C*-algebras constructed as crossed products with discrete outer automorphism groups
- Automorphic equivalence within gapped phases in the bulk
- A \(\mathbb{Z}_2\)-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains
- Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
- Homogeneity of the Pure State Space of a Separable C*-Algebra
- An -valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems
- Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms
- Combinatorial Set Theory of C*-algebras
- Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
- On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation
- EQUILIBRIUM STATISTICAL MECHANICS OF FERMION LATTICE SYSTEMS
- A classification of pure states on quantum spin chains satisfying the split property with on-site finite group symmetries
- The classification of symmetry protected topological phases of one-dimensional fermion systems
- \(C^*\)-algebras by example
- Theory of operator algebras I.
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