Rigorous index theory for one-dimensional interacting topological insulators
From MaRDI portal
Publication:6042748
DOI10.1063/5.0123738zbMath1512.82015arXiv2111.07335MaRDI QIDQ6042748
Publication date: 4 May 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.07335
Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics in condensed matter (general) (82D03)
Cites Work
- Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
- Lieb-Robinson bounds and the exponential clustering theorem
- Spectral gap and exponential decay of correlations
- Lieb-Schultz-Mattis theorem with a local twist for general one-dimensional quantum systems
- On gapped phases with a continuous symmetry and boundary operators
- General Lieb-Schultz-Mattis type theorems for quantum spin chains
- A \({{\mathbb{Z}}}_2\)-index of symmetry protected topological phases with reflection symmetry for quantum spin chains
- Interacting SPT phases are not Morita invariant
- From Lieb-Robinson bounds to automorphic equivalence
- The Lieb-Schultz-Mattis theorem. A topological point of view
- An invariant of symmetry protected topological phases with on-site finite group symmetry for two-dimensional fermion systems
- A many-body index for quantum charge transport
- A proof of the Bloch theorem for lattice models
- A \(\mathbb{Z}_2\)-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains
- Filling-enforced constraint on the quantized Hall conductivity on a periodic lattice
- Two soluble models of an antiferromagnetic chain
- A short course on topological insulators. Band structure and edge states in one and two dimensions
- Fermionic symmetry protected topological phases and cobordisms
- Quantized Berry Phases as a Local Order Parameter of a Quantum Liquid
- Periodic table for topological insulators and superconductors
- The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors
- An index for two-dimensional SPT states
- An -valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems
- Physics and Mathematics of Quantum Many-Body Systems
- On ℤ2-indices for ground states of fermionic chains
- Rational indices for quantum ground state sectors
- Note on a Theorem of Bloch Concerning Possible Causes of Superconductivity
- Particle–hole symmetries in condensed matter
- The classification of symmetry protected topological phases of one-dimensional fermion systems