TOPOLOGICAL PRINCIPLES IN THE THEORY OF ANDERSON LOCALIZATION

DOI10.1142/S0217979210064654zbMath1195.82043MaRDI QIDQ4929668

A. M. M. Pruisken

Publication date: 23 September 2010

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Renormalization group methods in equilibrium statistical mechanics (82B28) Many-body theory; quantum Hall effect (81V70) Critical phenomena in equilibrium statistical mechanics (82B27)

Cites Work

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• The fractional quantum Hall effect: Chern-Simons mapping, duality, Luttinger liquids and the instanton vacuum
• The instanton vacuum of generalized \(\mathbb{C} P^{N-1}\) models
• Super universality of the quantum Hall effect and the ``large \(N\) picture of the \(\vartheta \) angle