Spectral Transition for Dirac Operators with Electrostatic δ -Shell Potentials Supported on the Straight Line.

In this note the two dimensional Dirac operator Aη 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 Aη inside the spectral gap of the free Dirac operator A0 collapses abruptly to a single point.

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