| International Journal of Advanced Applied Physics Research (Special Issue 1) |
| Space-group approach to the wavefunction of a Cooper pair: Nodal structure and additional quantum numbers for Sr2RuO4 and UPt3 |
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Pages 48-56
V.G. Yarzhemsky
DOI: http://dx.doi.org/10.15379/2408-977X.2016.05
Published: 28 January 2016 |
| Abstract |
| Induced representation method and Mackey theorem on symmetrized squares were applied to construct zero-total-momentum two-electron states in solids, corresponding to Cooper pairs in unconventional superconductors. In this approach the structure of two-electron states depends on the position of one-electron wave vector in a single-electron Brillouin zone. It is shown, that the decomposition of total two-electron basis set results in repeating multidimensional irreducible representations. It is obtained, that in order to label repeating irreducible representation two additional quantum numbers are required: irreducible representation of wave vector group for symmetry planes and directions and quantum numbers on an intermediate group for a general point in a Brillouin zone. Theoretical results are applied to unconventional superconductors UPt3 and Sr2RuO4. |
| Keywords |
| group theory, induced representations, Mackey theorem, unconventional superconductors, nodal superconductors, triplet superconductors, Sr2RuO4, UPt3. |
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