Bilbao Crystallographic Server
BANDREP
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Band representations of the Double Space Groups
Band Representations
This program calculates the band representations (BR) induced from the irreps of the site-symmetry group of a given Wyckoff position.
Alternatively, it gives the set of elementary BRs of a Double Space Group.
In both cases, it can be chosen to get the BRs with or without time-reversal symmetry.
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.
References.
For more information about this program see the following articles:
Bradlyn
et al.
"Topological quantum chemistry"
Nature
(2017).
547
, 298-305. doi:10.1038/nature23268
Vergniory
et al.
"Graph theory data for topological quantum chemistry"
Phys. Rev. E
(2017).
96
, 023310. doi:10.1103/PhysrevE.96.023310
Elcoro
et al.
"Double crystallographic groups and their representations on the Bilbao Crystallographic Server"
J. of Appl. Cryst.
(2017).
50
, 1457-1477. doi:10.1107/S1600576717011712
If you are using this program in the preparation of an article, please cite at least one of the above references.
Link to the catalogue of topological materials:
www.topologicalquantumchemistry.com
Please, enter the sequential number of group as given in the
International Tables for Crystallography
, Vol. A
1. Get the elementary BRs without time-reversal symmetry
2. Get the elementary BRs with time-reversal symmetry
3. 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
Bilbao Crystallographic Server
http://www.cryst.ehu.es
For comments, please mail to
administrador.bcs@ehu.eus