%0 Journal Article %A Stauber, T. %A Beltrán Fínez, Juan Ignacio %A Schliemann, J. %T Tight-binding approach to penta-graphene %D 2016 %@ 2045-2322 %U https://hdl.handle.net/20.500.14352/24425 %X We introduce an effective tight-binding model to discuss penta-graphene and present an analytical solution. This model only involves the π-orbitals of the sp2-hybridized carbon atoms and reproduces the two highest valence bands. By introducing energy-dependent hopping elements, originating from the elimination of the sp3-hybridized carbon atoms, also the two lowest conduction bands can be well approximated - but only after the inclusion of a Hubbard onsite interaction as well as of assisted hopping terms. The eigenfunctions can be approximated analytically for the effective model without energy-dependent hopping elements and the optical absorption is discussed. We find large isotropic absorption ranging from 7.5% up to 24% for transitions at the Γ-point. %~