Gapped quantum systems: from higher-dimensional Lieb-Schultz-Mattis to the quantum Hall effect

DOI10.4171/icm2022/54arXiv2111.01854MaRDI QIDQ6200716

Matthew B. Hastings

Publication date: 24 March 2024

Published in: International Congress of Mathematicians (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01854

zbMATH Keywords

quantum Hall effectLieb-Robinson bounds

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Cites Work

• Spectral gap and exponential decay of correlations
• Spectral gaps of quantum Hall systems with interactions
• Quantization of Hall conductance for interacting electrons on a torus
• Two soluble models of an antiferromagnetic chain
• The noncommutative geometry of the quantum Hall effect

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