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Symmetry of SBZ

  1. Oct 6, 2009 #1

    i have a question on the M point of a surface brioullin zone. why is that point a point with time-reversal invariance?

  2. jcsd
  3. Oct 6, 2009 #2
    Time reversal symmetry means [tex]\psi_{k} = \psi_{-k}^*[/tex]. Periodicity in reciprocal space means that we can translate a point on the surface of the first BZ to a point on the opposite surface, ie. -k + G = k would give exactly the same wavefunction. So that means that [tex]\psi_{-k}^* = \psi_{k}^* = \psi_{k}[/tex]
  4. Oct 7, 2009 #3
    Consider triangular BZ. How can i see, that Gamma and M has time reversal and K not?
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