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

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

2000-11-23

arxiv.org/abs/cond-mat/0011413v6

Phys.Rev. B64 (2001) 045329

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

published version (Phys. Rev. B)

Scientific paper

10.1103/PhysRevB.64.045329

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.

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