Download Dirac and Weyl fermions in condensed matter systems: an introduction

yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Recap: electrons in crystals
Ref.: any solid state physics textbook
Electrons in solid state systems should in principle be
treated as non-relativistic fermions
Energy scale ~ 10eV, much smaller than electron rest mass
Electron bands: as 0th approx., assume the nuclei form static
periodic lattice, and electrons move in the periodic potential.
Bloch theorem: electron eigenstates are products of planewave and a periodic Bloch function u,
for lattice translation vector R.
Electron energy eigenvalues
are periodic in k-space,
for reciprocal lattice vector G.