Green's functions on a renormalized lattice: an improved method for the integer quantum Hall transition

DOI10.1016/J.AOP.2021.168485zbMath1483.81169arXiv2102.00271OpenAlexW3126235117MaRDI QIDQ2063528

Thomas Vojta, Martin Puschmann

Publication date: 11 January 2022

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.00271

zbMATH Keywords

critical exponentquantum Hall effectAnderson localization

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Renormalization group methods applied to problems in quantum field theory (81T17) Many-body theory; quantum Hall effect (81V70) Critical phenomena in equilibrium statistical mechanics (82B27) Green's functions for elliptic equations (35J08) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80) Localizations (e.g., simplicial localization, Bousfield localization) (18N55)

Related Items (2)

Topological quantum criticality of the disordered Chern insulator ⋮ Editorial. Special issue ``Localisation 2020: editorial summary

Cites Work

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• Geometric scaling in the quantum Hall system
• The integer quantum Hall plateau transition is a current algebra after all
• The Effect of a Magnetic Field on Electrons in a Periodic Potential

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