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

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Recap: electrons in crystals
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Ref.: any solid state physics textbook
Electrons in solid state systems should in principle be
treated as non-relativistic fermions
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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.
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Bloch theorem: electron eigenstates are products of planewave and a periodic Bloch function u,
for lattice translation vector R.
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Electron energy eigenvalues
are periodic in k-space,
for reciprocal lattice vector G.
2015/12/[email protected]