I am working on a condensed matter research project and we have just been introduced to the idea of symmetry.(adsbygoogle = window.adsbygoogle || []).push({});

My question is, in two dimensions, how do the 17 plane groups help simplify condensed matter theory problems. If a specific case is needed to narrow the responses than working within a square lattice of say the Heisenberg model of a ferromagnet/antiferromagnet. I can see how it might be used to identify degenerate ground states, but I don't have the experience or knowledge to see the greater value of symmetry. Any advice/pointers/insights would be greatly appreciated.

Thanks in advance

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# Simplifying with symmetry.

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