Conservation laws in the quantum Hall Liouvillian theory and its generalizations

DOI10.1016/S0550-3213(03)00345-6zbMath1040.81568arXivcond-mat/0209299MaRDI QIDQ1566283

Joel E. Moore

Publication date: 1 June 2003

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0209299

zbMATH Keywords

noncommutative geometryMonte Carlo simulationLandau levels\(U(1|1)\) global supersymmetrybosonic density operatorshierarchy of geometric conservation lawslocalization length scalingnoninteracting electrons

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Supersymmetric field theories in quantum mechanics (81T60) Noncommutative geometry methods in quantum field theory (81T75) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10)

Cites Work

• Supersymmetry in Disorder and Chaos
• Phase structure of non-commutative scalar field theories
• Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions

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