Point Group Interpretation of Galois Symmetry of Bethe Ansatz Solutions of Magnetic Pentagonal Ring
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee
2015
scientific article
english
- 75.10.Jm
- 03.65.Fd
- 03.67.Lx
- 02.10.Ud
- 02.10.De
EN Exact solutions of the eigenproblem of the magnetic pentagonal ring exhibit the arithmetic symmetry expressed in terms of a Galois group of a finite extension of the prime field Q of rationals. We propose here a geometric interpretation of this symmetry in the interior of the Brillouin zone, in terms of point groups. Explicitly, it is a subgroup of the direct product C4 × D4. We present also the appropriate irreducible representations of the group.
336 - 338
publisher's website
final published version
15
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