Inverse of electron's effective mass can be obtained as second derivative of energy for k. On the other hand, linear dispersion gives value of zero for second derivative since second derivative of E=kA(which means linear dispersion relation; for A is constant) equals to zero. That means the value of effective mass diverges to infinite not zero. However, Dirac cones which has linear dispersion are understood as manifestation of massless Dirac fermion. I want to know what I'm misunderstanding.
Dear Dr Bae: Please have a look at the following useful links:
Article Quantum charged spinning massless particles in 2 + 1 dimensions
https://arxiv.org/pdf/1905.06255.pdf
https://arxiv.org/pdf/1705.01111.pdf
Regards--
The first statement is true for non-relativistic particles, not for relativistic particles; and a massless particle doesn't make sense as a non-relativistic particle.
- Badges
- Science topic
- Similar topics
- Condensed Matter Physics
- Zero