On the Relevance of Disorder for Dirac Fermions with Imaginary Vector Potential

Details On the Relevance of Disorder for Dirac Fermions with Imaginary Vector Potential On the Relevance of Disorder for Dirac Fermions with Imaginary Vector Potential

1999-05-14

arxiv.org/abs/cond-mat/9905222v2

Phys.Rev.Lett.84:1292-1295,2000

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure. New version has expanded and improved discussion of why one should consider an imaginary vector potential i

Scientific paper

10.1103/PhysRevLett.84.1292

We consider the effects of disorder in a Dirac-like Hamiltonian. In order to use conformal perturbation theory, we argue that one should consider disorder in an imaginary vector potential. This affects significantly the signs of the lowest order $\beta$eta functions. We present evidence for the existence of two distinct universality classes, depending on the relative strengths of the gauge field verses impurity disorder strengths. In one class all disorder is driven irrelevant by the gauge field disorder.

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