
A particle with zero rest mass, like photons, or electrons in graphene behaving as relativistic Dirac fermions.A massless particle has zero rest mass and therefore always travels at the speed of light in vacuum. The most familiar example is the photon, the quantum of electromagnetic radiation. In condensed matter physics, quasiparticles in certain materials — such as electrons in graphene — behave as massless relativistic fermions, obeying the Dirac equation rather than the Schrödinger equation. This leads to extraordinary transport properties, including extremely high mobility and the ability to tunnel through barriers that would stop massive particles.
The concept of massless particles was established in the early 20th century with the development of special relativity and quantum mechanics. The photon was proposed by Einstein in 1905, and the Dirac equation (1928) predicted massless fermions, later realized in graphene's electronic structure (discovered experimentally in 2004 by Geim and Novoselov).
For a truly massless particle, the energy-momentum relation is E = pc, where p is momentum. This linear dispersion means the particle has no rest frame and cannot be slowed down. In graphene, electrons near the Dirac points have a linear energy-momentum relation, mimicking massless relativistic particles with an effective 'speed of light' of about 10^6 m/s. This behavior emerges from the honeycomb lattice structure and the quantum mechanical hopping of electrons between carbon atoms.
Massless particles are central to photonics, telecommunications, and solar cells. Graphene's massless electrons enable ultra-fast transistors, transparent conductors, and sensitive detectors.
In graphene, electrons behave as if they have zero mass, but they still carry charge — allowing them to pass through high potential barriers with perfect transmission, a phenomenon called Klein tunneling.






