Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.18323 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917316688609280 |
|---|---|
| author | Natsuume, Makoto |
| author_facet | Natsuume, Makoto |
| contents | The holographic superconductor is the holographic dual of superconductors. We recently identified the dual Ginzburg-Landau (GL) theory for a class of bulk 5-dimensional holographic superconductors (arXiv:2207.07182 [hep-th]). However, the result is the strong coupling limit or the large-$N_c$ limit. A natural question is how the dual GL theory changes at finite coupling. We identify the dual GL theory for a minimal holographic superconductor at finite coupling (Gauss-Bonnet holographic superconductor), where numerical coefficients are obtained exactly. The GL parameter $κ$ increases at finite coupling, namely the system approaches a more Type-II superconductor like material. We also point out two potential problems in previous works: (1) the "naive" AdS/CFT dictionary, and (2) the condensate determined only from the GL potential terms. As a result, the condensate increases at finite coupling unlike common folklore. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18323 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The dual Ginzburg-Landau theory for a holographic superconductor: Finite coupling corrections Natsuume, Makoto High Energy Physics - Theory Strongly Correlated Electrons Superconductivity General Relativity and Quantum Cosmology The holographic superconductor is the holographic dual of superconductors. We recently identified the dual Ginzburg-Landau (GL) theory for a class of bulk 5-dimensional holographic superconductors (arXiv:2207.07182 [hep-th]). However, the result is the strong coupling limit or the large-$N_c$ limit. A natural question is how the dual GL theory changes at finite coupling. We identify the dual GL theory for a minimal holographic superconductor at finite coupling (Gauss-Bonnet holographic superconductor), where numerical coefficients are obtained exactly. The GL parameter $κ$ increases at finite coupling, namely the system approaches a more Type-II superconductor like material. We also point out two potential problems in previous works: (1) the "naive" AdS/CFT dictionary, and (2) the condensate determined only from the GL potential terms. As a result, the condensate increases at finite coupling unlike common folklore. |
| title | The dual Ginzburg-Landau theory for a holographic superconductor: Finite coupling corrections |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Superconductivity General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2409.18323 |