Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session LL02: V: Unconventional Superconductivity
4:00 PM–6:00 PM,
Wednesday, March 6, 2024
Room: Virtual Room 02
Sponsoring
Units:
DMP DCMP
Chair: Abhijeet Alase, University of Sydney
Abstract: LL02.00005 : The cumulant Green's functions method for a triangular lattice: Mott transition and superconductivity*
5:12 PM–5:24 PM
Presenter:
Marcos S Figueira
(Federal Fluminense University)
Authors:
Marcos S Figueira
(Federal Fluminense University)
Jereson S Valencia
(Universidad Nacional de Colombia)
Renan N Lira
(Universidade Federal Fluminense)
Peter S Riseborough
(Temple University)
We apply the method to study the triangular lattice formed by the Sn adatoms on a Si(111) substrate with the 1/3 monolayer coverage. The system exhibits geometric frustration and strong electronic correlations. We use as a "seed" of the atomic cumulants closed clusters of three atoms (triangular), seven atoms (a hexagon with a central site), and nine atoms (a cluster formed by eight triangles), including high order hopping realistic process up to fifth order. The Sn triangular develops non-conventional superconductivity in the presence of heavily doped p-type Si(111) substrates [4]. We study the interplay of geometric frustration and correlation in the Mott transition and in the development of unconventional superconductivity.
[1] R N Lira et al. J. Phys.: Condens. Matter 35 (2023) 245601
[2] R N Lira Physics Letters A 474 (2023) 128818
[3] Gang Li et al. NATURE COMMUNICATIONS | 4:1620 | DOI: 10.1038/ncomms2617
[4] F Ming et al. Nature Physics | Volume 19 | April 2023 | 500–506
*M S F acknowledges financial support from the National Council for Scientific and Technological Development(CNPq) Grant Number 311980/2021-0 and from the Foundation for Support of Research in the State of Rio deJaneiro (FAPERJ) process number 210 355/2018.
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