Bound state energy of a Coulomb impurity in gapped bilayer graphene

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Application of a perpendicular electric field induces a band gap in bilayer graphene, and it also creates a "Mexican hat" structure in the dispersion relation. This structure has unusual implications for the hydrogen-like bound state of an electron to a Coulomb impurity. We calculate the ground state energy of this hydrogen-like state as a function of the applied interlayer voltage and the effective fine structure constant. Unlike in the conventional hydrogen atom, the resulting wave function has many nodes even in the ground state. Further, the electron state undergoes "atomic collapse" into the Dirac continuum both at small and large voltage.

Original languageEnglish (US)
Article number041405
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
StatePublished - Jan 23 2014


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