TOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS

DOI10.1142/S021797921330017XzbMath1279.81003arXiv1308.0343OpenAlexW3122056084WikidataQ62043080 ScholiaQ62043080MaRDI QIDQ2872894

Emil J. Bergholtz, Zhao Liu

Publication date: 17 January 2014

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0343

zbMATH Keywords

fractional quantum Hall effectanyonstopological insulatorstopological orderflat bandsfractional Chern insulators

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Many-body theory; quantum Hall effect (81V70) Topological field theories in quantum mechanics (81T45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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Large-\(N\) Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect ⋮ Local incompressibility estimates for the Laughlin phase ⋮ Wave functions for fractional Chern insulators in disk geometry ⋮ Correlations and entanglement in flat band models with variable Chern numbers ⋮ Magnon spin Nernst effect on the antiferromagnetic checkerboard lattice ⋮ Exact parent Hamiltonians of bosonic and fermionic Moore–Read states on lattices and local models ⋮ Continuum limit of lattice quasielectron wavefunctions ⋮ Necessary and sufficient conditions for flat bands in M-dimensional N-band lattices with complex-valued nearest-neighbour hopping ⋮ Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons ⋮ Influence of interactions on the anomalous quantum Hall effect

Cites Work

• PEPS as ground states: degeneracy and topology
• Colloquium: Area laws for the entanglement entropy
• Non-Abelian anyons and topological quantum computation
• Quantal phase factors accompanying adiabatic changes

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