Renormalization group for network models of quantum Hall transitions

DOI10.1016/S0550-3213(02)00097-4zbMath0990.81160arXivcond-mat/0107318MaRDI QIDQ5960396

André Leclair, Denis Bernard

Publication date: 4 April 2002

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0107318

zbMATH Keywords

coset conformal field theoriesall orders beta functionChalker-Coddington network modelspin quantum Hall transitionVirasoro master equation

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Renormalization group methods applied to problems in quantum field theory (81T17) Many-body theory; quantum Hall effect (81V70)

Related Items (4)

Integrable quantum field theories with supergroup symmetries: the OSP(1/2) case ⋮ The integer quantum Hall plateau transition is a current algebra after all ⋮ The 4-loop \(\beta\)-function in the 2D non-Abelian Thirring model, and comparison with its conjectured ``exact form ⋮ The \(\overline{\text{su}}(2)_{-1/2}\) WZW model and the \(\beta\gamma\) system

Cites Work

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• Non-unitary conformal field theory and logarithmic operators for disordered systems
• Current algebras and Wess-Zumino model in two dimensions
• Irrational conformal field theory
• Two-dimensional conformal field theory for disordered systems at criticality
• Towards a field theory of the plateau transitions in the integer quantum Hall effect
• \(\text{gl}(N|N)\) super-current algebras for disordered Dirac fermions in two dimensions
• Strong-weak coupling duality in anisotropic current interactions
• Legendre's relation and the quantum equivalence osp\((4|4)_1 = \text{osp}(2|2)_{-2} \oplus su(2)_0\)

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