Superconductivity in monolayer and few-layer graphene. II. Topological edge states and Chern numbers
(2023) In Physical Review B 108(13).- Abstract
We study the emergence of electronic edge states in superconducting
monolayer, bilayer, and trilayer graphene for both spin-singlet and
spin-triplet superconducting order parameters. We focus mostly on the
gapped chiral p+ip′- and d+id′-wave superconducting states that show a nonzero Chern number and a corresponding number of edge states. For the p+ip′-wave
state, we observe a rich phase diagram for the Chern number when tuning
the chemical potential and the superconducting order parameter
amplitude, which depends strongly on the number of layers and their
stacking and is also modified by trigonal warping. At small parameter
values, compared to hopping energy, we observe a region whose Chern
... (More)We study the emergence of electronic edge states in superconducting
(Less)
monolayer, bilayer, and trilayer graphene for both spin-singlet and
spin-triplet superconducting order parameters. We focus mostly on the
gapped chiral p+ip′- and d+id′-wave superconducting states that show a nonzero Chern number and a corresponding number of edge states. For the p+ip′-wave
state, we observe a rich phase diagram for the Chern number when tuning
the chemical potential and the superconducting order parameter
amplitude, which depends strongly on the number of layers and their
stacking and is also modified by trigonal warping. At small parameter
values, compared to hopping energy, we observe a region whose Chern
number is unique to rhombohedrally stacked graphene and is independent
of the number of layers. Our results can be understood in relation not
only to the superconducting order parameter winding as expected but also
to the normal state band structure. This observation establishes the
importance of the normal state characteristics for understanding the
topology in superconducting graphene systems.
- author
- Crépieux, Adeline ; Pangburn, Emile ; Haurie, Louis ; Awoga, Oladunjoye A. LU ; Black-Schaffer, Annica M. ; Sedlmayr, Nicholas ; Pépin, Catherine and Bena, Cristina
- organization
- publishing date
- 2023-10-25
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review B
- volume
- 108
- issue
- 13
- article number
- 134515
- publisher
- American Physical Society
- external identifiers
-
- scopus:85177024045
- ISSN
- 2469-9950
- DOI
- 10.1103/PhysRevB.108.134515
- language
- English
- LU publication?
- yes
- id
- e0b68b8e-47f8-4d3b-bb94-723f13a26b88
- date added to LUP
- 2024-01-02 16:41:52
- date last changed
- 2024-01-08 10:23:13
@article{e0b68b8e-47f8-4d3b-bb94-723f13a26b88, abstract = {{<p>We study the emergence of electronic edge states in superconducting <br> monolayer, bilayer, and trilayer graphene for both spin-singlet and <br> spin-triplet superconducting order parameters. We focus mostly on the <br> gapped chiral p+ip′- and d+id′-wave superconducting states that show a nonzero Chern number and a corresponding number of edge states. For the p+ip′-wave<br> state, we observe a rich phase diagram for the Chern number when tuning<br> the chemical potential and the superconducting order parameter <br> amplitude, which depends strongly on the number of layers and their <br> stacking and is also modified by trigonal warping. At small parameter <br> values, compared to hopping energy, we observe a region whose Chern <br> number is unique to rhombohedrally stacked graphene and is independent <br> of the number of layers. Our results can be understood in relation not <br> only to the superconducting order parameter winding as expected but also<br> to the normal state band structure. This observation establishes the <br> importance of the normal state characteristics for understanding the <br> topology in superconducting graphene systems.</p>}}, author = {{Crépieux, Adeline and Pangburn, Emile and Haurie, Louis and Awoga, Oladunjoye A. and Black-Schaffer, Annica M. and Sedlmayr, Nicholas and Pépin, Catherine and Bena, Cristina}}, issn = {{2469-9950}}, language = {{eng}}, month = {{10}}, number = {{13}}, publisher = {{American Physical Society}}, series = {{Physical Review B}}, title = {{Superconductivity in monolayer and few-layer graphene. II. Topological edge states and Chern numbers}}, url = {{http://dx.doi.org/10.1103/PhysRevB.108.134515}}, doi = {{10.1103/PhysRevB.108.134515}}, volume = {{108}}, year = {{2023}}, }