Local commuting projector Hamiltonians and the quantum Hall effect

DOI10.1007/s00220-019-03444-1zbMath1431.81182arXiv1810.07756OpenAlexW3099122850WikidataQ114230955 ScholiaQ114230955MaRDI QIDQ2291570

Anton Kapustin, Lukasz Fidkowski

Publication date: 31 January 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07756

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70)

Related Items (5)

The spectral gap of a fractional quantum Hall system on a thin torus ⋮ Spectral gaps and incompressibility in a \(\nu = 1/3\) fractional quantum Hall system ⋮ Fractional Hall conductivity and spin-c structure in solvable lattice Hamiltonians ⋮ Abelian topological order on lattice enriched with electromagnetic background ⋮ Localization properties of Chern insulators

Cites Work

• The adiabatic theorem and linear response theory for extended quantum systems
• Quantization of conductance in gapped interacting systems
• Fault-tolerant quantum computation by anyons
• Quantization of Hall conductance for interacting electrons on a torus
• Localization properties of Chern insulators
• Adiabatic currents for interacting fermions on a lattice
• Basic Algebraic Geometry 2
• Unnamed Item

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