Toward a theory of the integer quantum Hall transition: Continuum limit of the Chalker–Coddington model

DOI10.1063/1.531921zbMath0883.60099arXivcond-mat/9701024OpenAlexW2033744434MaRDI QIDQ4340148

Martin R. Zirnbauer

Publication date: 4 March 1998

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9701024

zbMATH Keywords

quantum Hall effectnetwork modelsaddle-point approximationquantum Hall universality class

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum field theory on lattices (81T25) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items

Super universality of the quantum Hall effect and the ``large \(N\) picture of the \(\vartheta \) angle, The integer quantum Hall plateau transition is a current algebra after all, The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels, Gaussian free fields at the integer quantum Hall plateau transition, Edge states and conformal boundary conditions in super spin chains and super sigma models, Generalized multifractality at spin quantum Hall transition, Intersecting Loop Model as a Solvable Super Spin Chain

Cites Work

• Two-dimensional conformal field theory for disordered systems at criticality
• Supersymmetry for systems with unitary disorder: circular ensembles
• Riemannian symmetric superspaces and their origin in random-matrix theory