1210.5158 (Josef Mehringer et al.)

Confinement-deconfinement transitions for two-dimensional Dirac
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Josef Mehringer, Edgardo Stockmeyer

We consider a two-dimensional massless Dirac operator coupled to a magnetic field $B$ and an electric potential $V$ growing at infinity. We find a characterization of the spectrum of the resulting operator $H$ in terms of the relation between $B$ and $V$ at infinity. In particular, we give a sharp condition for the discreteness of the spectrum of $H$ beyond which we find dense pure point spectrum.

View original: http://arxiv.org/abs/1210.5158