New research furthers understanding of the electronic structure of graphite

In a paper published on 21 June 2022 in Physical Review B, researchers have detailed new observations of the surface state of graphite using a newly developed photoelectron spectroscopy machine combined with electron microscope.

"In this study, we report the microscopicobservation of three-fold symmetric graphite surface states coupled with bulk k_z dispersed π bands. The finding highlights the relevance of considering surface effects in bulk intrinsic electronic state measurements," said Fumihiko Matsui, a professor at Institute for Molecular Science in Okazaki, Japan. "The question we address is: how accurate can we measure the intrinsic bulk k_z dispersion?"

Crystalline structures like graphite have energy bands in what is known as a band structure. In addition to the inherent bulk band structure, there is a special electronic structure on the surface of the material, which is called the surface state. Macroscopic measurements tend to average and unrecognize the various fine structures on the surface. In the worst case, this conventional measurement technique can lead to ignoring surface states and misinterpretation of bulk-specific electronic properties. Using technique called photoelectron momentum-resolved spectro-microscopy, researchers looked at the electronic structures of graphite surface. They were able to see how the surface states interacted with the bulk bands and succeeded in imaging single-atom height steps on a graphite surface. Understanding both surface state and band structures of graphite can help researchers understand its electrical properties as well.

Graphite is a crystalline form of carbon that is made up of many layers. Each individual layer of graphite, called graphene, is structured in a hexagonal honeycomb. The way these layers stack on top of each other affects the type of electronic band structures that are found in the graphite. "Graphite crystals with an ABAB-type stacking structure are six-fold symmetric around the z axis, whereas a surface with one type of termination is three-fold symmetric," said Matsui. When researchers looked at the dispersion of the k_z band at micrometer-scale, they found that the combination of this six-fold structure and the three-fold structure eliminated degeneracy of the π band and the symmetry was reduced.

"In this study, we have succeeded in characterizing the effect of such a coupling in a surface geometry with broken symmetry," said Matsui. "The observed bulk dispersion differs from the discrete electronic states of several layers of graphene, meaning that the measurement is also sensitive to the bulk electronic states from much deeper than the mean free path length of the emitted electrons. Moreover, the k_z dispersion bandwidth is affected by the coupling with the surface electronic state, as shown in this study. The accuracy and resolution of k_z dispersion bandwidth determination are limited by the electron attenuation length, especially when the surface resonance state couples with the bulk k_z-dispersed band."

Looking ahead, more theoretical research is needed to understand how these different structures work together. "Further theoretical studies of valence photoelectron emission with precise consideration of the surface effect are desired in order to clarify the k_z intensity dependence," said Matsui.