7.9 Signatures of Chaos in a Soft Sinai Lattice
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Fig. 7.28 Brillouin zone for
square lattice. The solid lines
are symmetry lines
(reproduced from Porter et al.
2017)
Fig. 7.29 Band structure
taken along the symmetry
line (k x = k, k y = k).
This shows the band structure
of one quarter of the Brillouin
zone. It repeats in the other
three quadrants of the
Brillouin zone (reproduced
from Porter et al. 2017)
Brillouin zone lie on the symmetry lines, and those are the only values considered
in many band structure calculations.
In Fig. 7.29, we show the band structure along the symmetry line in the
upper right quadrant of the Brillouin zone. The band lines, below energies of about