In
quantum mechanics, Dirac cones are a kind of
crossing-point which electrons avoid, where the energy of the valence and conduction bands are not equal anywhere in two dimensional
lattice -space, except at the zero dimensional Dirac points. As a result of the cones, electrical conduction can be described by the movement of
charge carriers which are massless
fermions, a situation which is handled theoretically by the relativistic
Dirac equation. The massless fermions lead to various
quantum Hall effects, magnetoelectric effects in topological materials, and ultra high
carrier mobility. Dirac cones were observed in 2008-2009, using
angle-resolved photoemission spectroscopy (ARPES) on the potassium-
graphite intercalation compound KC8 and on several bismuth-based alloys. In 2014, direct observation of the Dirac semimetal band structure using ARPES was conducted on the Dirac semimetal
cadmium arsenide. == Analog systems ==