Why is the energy spectrum for single layer linear while that of double layer is parabolic?
What makes the shape of the curve diverge as you move from the dirac point?
what is the electron wave vector, k: what does it stand for physically ?
The wave vector k, and energy
To describe the directions of k, Miller indices are used. Miller indices are used to describe plane directions in a unit cell. The unit cell is a cube with side lengths a, and a is the distance between the centers of two atoms. These atoms are chosen such that the unit cell is as small as possible and contains every atom needed to describe the different atoms in the lattice. Because the lattice is periodic, k is also periodic, and outside the range [0, π/a], k repeats itself.
Link:http://org.ntnu.no/solarcells/pages/elecholes.php?part=3
K is nothing but 2*pi/lambda,where lamda is corresponding wavelength only.The relation between EK is nothing but only dispersion relation it is called.
regards
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