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Hidden symmetry of Bogoliubov de Gennes quasi-particle eigenstates and universal relations in flat band superconducting bipartite lattices
by G. Bouzerar, M. Thumin
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Georges Bouzerar |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2310.06589v3 (pdf) |
| Date accepted: | 2024-03-22 |
| Date submitted: | 2024-03-14 12:11 |
| Submitted by: | Bouzerar, Georges |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Unconventional flat band (FB) superconductivity, as observed in van der Waals heterostructures, could open promising avenues towards high-T$_c$ materials. In FBs, pairings and superfluid weight scale linearly with the interaction parameter, such an unusual behaviour justifies and encourages strategies to promote FB engineering. Bipartite lattices (BLs) which naturally host FBs could be particularly interesting candidates. Within Bogoliubov de Gennes theory and in the framework of the attractive Hubbard model in BLs, a hidden symmetry of the quasi-particle eigenstates is revealed. As a consequence, we demonstrate universal relations for the pairings and the superfluid weight that are independent of the characteristics of the hopping term. Remarkably, it is shown that these general properties are insensitive to disorder as long as the bipartite character is protected.
List of changes
-The CLS eigenstates are now shown (in Fig.1)
-The analytic expression of the Flat band eigenstates of the one particle Hamiltonian( U=0)
are given.
Published as SciPost Phys. Core 7, 018 (2024)