%0 Journal Article %T Accurate determination of electron-hole asymmetry and next-nearest neighbor hopping in graphene %A A. Kretinin %A G. L. Yu %A R. Jalil %A Y. Cao %A F. Withers %A A. Mishchenko %A M. I. Katsnelson %A K. S. Novoselov %A A. K. Geim %A F. Guinea %J Physics %D 2013 %I arXiv %R 10.1103/PhysRevB.88.165427 %X The next-nearest neighbor hopping term t' determines a magnitude and, hence, importance of several phenomena in graphene, which include self-doping due to broken bonds and the Klein tunneling that in the presence of t' is no longer perfect. Theoretical estimates for t' vary widely whereas a few existing measurements by using polarization resolved magneto-spectroscopy have found surprisingly large t', close or even exceeding highest theoretical values. Here we report dedicated measurements of the density of states in graphene by using high-quality capacitance devices. The density of states exhibits a pronounced electron-hole asymmetry that increases linearly with energy. This behavior yields t' approx -0.30 eV +-15%, in agreement with the high end of theory estimates. We discuss the role of electron-electron interactions in determining t' and overview phenomena which can be influenced by such a large value of t'. %U http://arxiv.org/abs/1309.2914v3