In this note the two dimensional Dirac operator A η with an electrostatic δ -shell interaction of strength η ∈ R supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths η = ± 2 the continuous spectrum of A η inside the spectral gap of the free Dirac operator A 0 collapses abruptly to a single point.

Department of Mathematics Faculty of Nuclear Sciences and Physical Engineering Czech Technical University Prague Trojanova 13 120 00 Prague Czech Republic

Institut für Angewandte Mathematik Technische Universität Graz Steyrergasse 30 8010 Graz Austria

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