Pairing in graphene-based moiré superlattices
We present a systematic classification and analysis of possible pairing instabilities in graphene-based moiré superlattices. Motivated by recent experiments on twisted double bilayer graphene showing signs of triplet superconductivity, we analyze both singlet and triplet pairing separately, and desc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033062 |
| _version_ | 1827286108544696320 |
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| author | Mathias S. Scheurer Rhine Samajdar |
| author_facet | Mathias S. Scheurer Rhine Samajdar |
| author_sort | Mathias S. Scheurer |
| collection | DOAJ |
| description | We present a systematic classification and analysis of possible pairing instabilities in graphene-based moiré superlattices. Motivated by recent experiments on twisted double bilayer graphene showing signs of triplet superconductivity, we analyze both singlet and triplet pairing separately, and describe how these two channels behave close to the limit where the system is invariant under separate spin rotations in the two valleys, realizing an SU(2)_{+}×SU(2)_{−} symmetry. Further, we discuss the conditions under which singlet and triplet can mix via two nearly degenerate transitions, and how the different pairing states behave when an external magnetic field is applied. The consequences of the additional microscopic or emergent approximate symmetries relevant for superconductivity in twisted bilayer graphene and ABC trilayer graphene on hexagonal boron nitride are described in detail. We also analyze which of the pairing states can arise in mean-field theory and study the impact of corrections coming from ferromagnetic fluctuations. For instance, we show that, close to the parameters of mean-field theory, a nematic mixed singlet-triplet state emerges. Our paper illustrates that graphene superlattices provide a rich platform for exotic superconducting states, and allow for the admixture of singlet and triplet pairing even in the absence of spin-orbit coupling. |
| first_indexed | 2024-04-24T10:24:54Z |
| format | Article |
| id | doaj.art-749b2bf8949b40b28c54f7bad8467b03 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:24:54Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-749b2bf8949b40b28c54f7bad8467b032024-04-12T16:57:02ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303306210.1103/PhysRevResearch.2.033062Pairing in graphene-based moiré superlatticesMathias S. ScheurerRhine SamajdarWe present a systematic classification and analysis of possible pairing instabilities in graphene-based moiré superlattices. Motivated by recent experiments on twisted double bilayer graphene showing signs of triplet superconductivity, we analyze both singlet and triplet pairing separately, and describe how these two channels behave close to the limit where the system is invariant under separate spin rotations in the two valleys, realizing an SU(2)_{+}×SU(2)_{−} symmetry. Further, we discuss the conditions under which singlet and triplet can mix via two nearly degenerate transitions, and how the different pairing states behave when an external magnetic field is applied. The consequences of the additional microscopic or emergent approximate symmetries relevant for superconductivity in twisted bilayer graphene and ABC trilayer graphene on hexagonal boron nitride are described in detail. We also analyze which of the pairing states can arise in mean-field theory and study the impact of corrections coming from ferromagnetic fluctuations. For instance, we show that, close to the parameters of mean-field theory, a nematic mixed singlet-triplet state emerges. Our paper illustrates that graphene superlattices provide a rich platform for exotic superconducting states, and allow for the admixture of singlet and triplet pairing even in the absence of spin-orbit coupling.http://doi.org/10.1103/PhysRevResearch.2.033062 |
| spellingShingle | Mathias S. Scheurer Rhine Samajdar Pairing in graphene-based moiré superlattices Physical Review Research |
| title | Pairing in graphene-based moiré superlattices |
| title_full | Pairing in graphene-based moiré superlattices |
| title_fullStr | Pairing in graphene-based moiré superlattices |
| title_full_unstemmed | Pairing in graphene-based moiré superlattices |
| title_short | Pairing in graphene-based moiré superlattices |
| title_sort | pairing in graphene based moire superlattices |
| url | http://doi.org/10.1103/PhysRevResearch.2.033062 |
| work_keys_str_mv | AT mathiassscheurer pairingingraphenebasedmoiresuperlattices AT rhinesamajdar pairingingraphenebasedmoiresuperlattices |