Abstract

In this note the two dimensional Dirac operator A_eta with an electrostatic delta -shell interaction of strength eta in {mathbb {R}} supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths eta =pm 2 the continuous spectrum of A_eta inside the spectral gap of the free Dirac operator A_0 collapses abruptly to a single point.

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