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Band representations of the double Layer Space Groups

Band Representations of Layer Groups

This program calculates the band representations (BR) induced from the irreps of the site-symmetry group of a given Wyckoff position in a double Layer Space Group with and without time-reversal symmetry.
Alternatively, it gives the set of elementary BRs of the group.
The program also indicates if the elementary BRs are decomposable or indecomposable. If it is decomposable, the program gives all the possible ways to decompose it.

Reference. For more information about this program see the following article:

Urko Petralanda, Yi Jiang, Hanqi Pi, Maia G. Vergniory, B. Andrei Bernevig, Nicolas Regnault and Luis Elcoro "Two-dimensional topological quantum chemistry and catalog of topological materials" Science 393, 6818 (2026) 1317-1321, DOI: 10.1126/science.adu2107

If you are using this program in the preparation of an article, please cite the above reference.

Enter the sequential number of the layer group

2. Get the elementary BRs without time-reversal symmetry
2. Get the elementary BRs with time-reversal symmetry
4. Get the BRs without time-reversal symmetry from a Wyckoff position
4. Get the BRs with time-reversal symmetry from a Wyckoff position

k-Subgroupsmag

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