For both applications count that the symmetry between particles and anti-particles in weak interactions is violated:<br /><cite>At this point the particle energy E = cp is zero.</cite> An electron when as single particle is a Fermion obeying the Pauli exclusion principle.
Fermi point (Quantum Field Theory)
Fermionic systems that have a Fermi surface (FS) belong to a universality class in quantum field theory. <cite>Any collection of fermions with weak repulsive interactions belongs to this class.</cite> At the fermi point, the break of symmetry can be explained by assuming a vortex or singularity will appear as a result of the spin of a fermi particle (quasiparticle, Fermion) in one dimension of the three-dimensional momentum space.
Fermi point (Nanoscience)
The Fermi point is one particular electron state. The Fermi point refers to an event chirality of electrons is involved and the diameter of a carbon nanotube for which the nanotube becomes metallic. As the structure of a carbon nanotube determines the energy levels that the carbon's electrons may occupy, the structure... Read More