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Screening of charge impurities in graphene is analyzed using the exact solution for vacuum polarization obtained from the massless Dirac-Kepler problem.
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F 1 1 ( a , c , z ) ≈ Γ ( c ) Γ ( c − a ) ( − z ) − a + Γ ( c ) Γ ( a ) e z z a − c {}_{1}F_{1}(a,c;z)\approx\frac{\Gamma(c)}{\Gamma(c-a)}(-z)^{-a}+\frac{\Gamma(c)}{\Gamma(a)}e^{z}z^{a-c} for large | z | |z| (see Eq.(13.5.1), Ref. [ 13 ] )
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