Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-07-30
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages
Scientific paper
We present evidence that two dimensional Dirac fermions in the presence of random Abelian gauge potential exhibit a phase transition when the disorder strength exceeds a certain critical value. We argue that this phase transition has novel properties unique to disordered systems. It resembles in many ways the transition from dilute to dense polymers phase in two dimension. In particular, we argue that the central charge of the disordered Dirac fermions, being $c=0$ before the transition, changes to $c=-2$. We discuss possible implications to quantum Hall transitions, in view of recently proposed model for quantum Hall transitions with $c=-2$.
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