Edge density of bulk states due to relativity

The boundaries of quantum materials can host a variety exotic effects such as topologically robust edge states or anyonic quasiparticles. Here, we show that fermionic systems graphene admit low energy Dirac description exhibit counterintuitive relativistic at their boundaries. As an example, consider carbon nanotubes and demonstrate bulk spinor have non zero charge density on the boundaries, in contrast to sinusoidal distribution non-relativistic wave functions are necessarily This unusual property spinors is complementary linear dispersion relation exhibited by influence coupling leads, transport properties response external fields.