Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D

Abstract

The all-orders beta function is used to study disordered Dirac fermions in 2D. The generic strong coupling fixed `points' of anisotropic current-current interactions at large distances are actually isotropic manifolds corresponding to subalgebras of the maximal current algebra at short distances. The IR theories are argued to be current algebra cosets. We illustrate this with the simple example of anisotropic su(2), which is the physics of Kosterlitz-Thouless transitions. We work out the phase diagram for the Chalker-Coddington network model which is in the universality class of the integer Quantum Hall transition. One massless phase is in the universality class of dense polymers.

published version (Phys. Rev. B)

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• On the Beta Function for Anisotropic Current Interactions in 2D
• Russian Doll Renormalization Group, Kosterlitz-Thouless Flows, and the Cyclic sine-Gordon model
• Random network models with variable disorder of geometry
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Localization length index in a Chalker-Coddington model: a numerical study
• Duality approach to one-dimensional degenerate electronic systems
• Renormalization group for network models of Quantum Hall transitions