Coulomb effects in the absorbance spectra of two-dimensional Dirac materials

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Minimax Principles, Hardy-Dirac Inequalities, and Operator Cores for Two and Three Dimensional Coulomb-Dirac Operators

For n ∈ {2, 3} we prove minimax characterisations of eigenvalues in the gap of the n dimensional Dirac operator with an potential, which may have a Coulomb singularity with a coupling constant up to the critical value 1/(4 − n). This result implies a socalled Hardy-Dirac inequality, which can be used to define a distinguished self-adjoint extension of the Coulomb-Dirac operator defined on C0 (R...

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ژورنال

عنوان ژورنال: Physical Review B

سال: 2018

ISSN: 2469-9950,2469-9969

DOI: 10.1103/physrevb.98.205402