We study a self-adjoint realization of a massless Dirac operator on a bounded connected domain which is frequently used to model graphene. In particular, we show that this operator is the limit, as , of a Dirac operator defined on the whole plane, with a mass term of size supported outside .
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Edgardo Stockmeyer, Semjon Vugalter, Infinite mass boundary conditions for Dirac operators. J. Spectr. Theory 9 (2019), no. 2, pp. 569–600DOI 10.4171/JST/256