We study the two dimensional massless Coulomb–Dirac operator restricted to its positive spectral subspace and prove estimates on the negative eigenvalues created by electromagnetic perturbations.
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Sergey Morozov, David Müller, Lieb–Thirring and Cwickel–Lieb–Rozenblum inequalities for perturbed graphene with a Coulomb impurity. J. Spectr. Theory 8 (2018), no. 3, pp. 987–1017DOI 10.4171/JST/220