1. Departments of Physics and Electrical Engineering, Columbia University, 538 West 120th Street,


2. Department of Chemistry, Columbia University, 3000 Broadway, New York, New York 10027, USA

Correspondence to: Tony F. Heinz¹ Correspondence and requests for materials should be addressed to T.F.H. (Email: tony.heinz@columbia.edu).

Graphene, a single atomic layer of carbon connected by sp ² hybridized bonds, has attracted intense scientific interest since its recent discovery¹. Much of the research on graphene has been directed towards exploration of its novel electronic properties, but the structural aspects of this model two-dimensional system are also of great interest and importance. In particular, microscopic corrugations have been observed on all suspended² and supported^{3, 4, 5, 6, 7, 8} graphene sheets studied so far. This rippling has been invoked to explain the thermodynamic stability of free-standing graphene sheets⁹. Many distinctive electronic^{10, 11, 12} and chemical^{13, 14, 15} properties of graphene have been attributed to the presence of ripples, which are also predicted to give rise to new physical phenomena^{16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26} that would be absent in a planar two-dimensional material. Direct experimental study of such novel ripple physics has, however, been hindered by the lack of flat graphene layers. Here we demonstrate the fabrication of graphene monolayers that are flat down to the atomic level. These samples are produced by deposition on the atomically flat terraces of cleaved mica surfaces. The apparent height variation in the graphene layers observed by high-resolution atomic force microscopy (AFM) is less than 25 picometres, indicating the suppression of any existing intrinsic ripples in graphene. The availability of such ultraflat samples will permit rigorous testing of the impact of ripples on various physical and chemical properties of graphene.